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ABSTRACT
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FULL TEXT
M2 PRESSWIRE-August 22, 2016-Free Crowdfunding
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(C)2016 M2 COMMUNICATIONS http://www.m2.com
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Crowdfunding Promotion
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
Chapter 2: Structure of Derivatives Markets
The key to understanding derivatives is a deeper understanding
of all that’s underlying.
Morgan Stanley Dean Witter
Advertisement in Derivatives Strategy, October 1997, p. 15
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
Important Concepts in Chapter 2Types of derivativesOrigins
and development of derivatives marketsExchange-listed
derivatives tradingOver-the-counter derivatives tradingClearing
and settlementMarket participantsTransaction
costsTaxesRegulation of derivatives markets
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
Types of DerivativesOptionsForward contractsFutures
contractsSwapsOther types of derivatives
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
OptionsPremium – price paid to buy an optionCall – right to
buyPut – right to sellExercise or strike price – fixed price to
option buyer and buy (call) or sell (put)Expiration date –
options have finite livesMoneyness – in-, at-, or out-of-the-
moneyEuropean – exercise only on expiration dateAmerican –
exercise anytime before or on expiration date
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Forward ContractForward contract is an obligation to engage in
some transaction in the future, not a rightForward price –
analogous to exercise priceInitial forward value is typically
zeroForward price is the strike price where the call premium
equals the put premiumCustomizable Counterparty default risk
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Futures ContractSimilar to forward
contractStandardizedTransacted on organized
exchangeClearinghouse acts as intermediaryLiquidityFutures
price – price at which the underlying can be transacted at the
expiration of the futures contractMargin accounts required
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
SwapsSwap is a commitment between two parties to do a series
of transactions in the futureSimilar to forward contract, but
involves multiple future transactionsSwaps can involve a
variety of underlyingsInterest ratesEquityCurrencyCommodities
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Other Types of DerivativesEmbedded derivatives – when
derivative is embedded in other assetsCallable bondsConvertible
bondsOther instrumentsOptions on derivatives – option on
swap, option on futuresCredit derivativesDefault option in
bondsReal options – e.g., options embedded in projects
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Origins and Development of Derivatives MarketsAs old as
stocks and bondsRice futures in Japan in 17th centuryChicago
Board of Trade (CBOT) opened in 1848Evolution of commodity
derivativesTo arrive contracts became known as futures
contractsCommodity futures – wheat, corn, soybeans,
goldChicago Butter and Egg Board opened in 1898 (now the
CME Group)
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Evolution of Financial Derivatives1970 – fixed currency
exchange rates endedForeign currency futures began trading at
the CMEFinancial futures popularity rose1973 – pivotal
yearFischer Black and Myron Scholes publish option
modelRobert Merton publish rigorous foundations of
modelCBOT spun off Chicago Board Options Exchange
(CBOE)Many more derivatives markets were subsequently
launched
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Development of the OTC MarketAllows for customizationOver
the counter (OTC) originated as investors purchased securities
literally “over the counter” at broker’s officesRegulations
stemming from financial crisis of 2008-2009 are merging OTC
and exchange traded products
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
Derivatives ExchangesLargest derivatives exchanges (see Table
2.1)Derivatives exchanges span the globeMore than 20 billion
contracts traded on world derivatives exchanges. Figure 2.1
shows breakdown between options (9.4 billion) and futures
(12.2 billion)Exchanges are often for-profit companiesExchange
membership is often termed seats
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Standardization of ContractsStandardization advantagesReduces
costsImproves efficiencyDerivatives
standardizationUnderlyingExpirationsOption exercise
pricesContract sizesUnit of price quotation
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Various LimitsPosition limits – maximum number of contracts
heldExercise limits – number of options that can be
exercisedPrice limitsLimit up – maximum up move in
underlying priceLimit down – maximum down move in
underlying priceLimit move – price change that results in
hitting limitLocked limit – market where trading has stopped
due to a limit moveCircuit breakers – automatic trading halts
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Physical versus Electronic TradingPhysical trading was face-to-
face in octagonal-shaped pitsLocation in pit had specific
meaning regarding contract maturityPit trading termed open
outcryOut-trade – discrepancy between traders caught by
exchange processGLOBEX at CME pioneering electronic
trading systemElectronic trading reduced out-trade frequency
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Mechanics of TradingTypes of ordersMarket orderLimit
orderGood-till-canceled orderStop orderAll or none
orderOpening or closing ordersOpening order – order for
derivative in which no position is currently held (increases open
interest)Closing order – order for derivatives that is opposite of
a position previously taken (decreases open interest)
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Expiration and Exercise ProceduresOffsetting order simply
passes the derivative to someone elseWith options, contracts
can be exercisedAt expiration, physical delivery or cash
settlement via assignmentExchange-for-physicals or against
actuals – long and short agree on an alternative delivery
procedure
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
OTC Derivatives TradingDealers – makes a market, quotes bid
and ask pricesEnd-users – typically the one initiating the
transactionTrading platform – electronic quotation system, such
as swap execution facilitiesBilateral contract – two parties
agree, each promising to do somethingISDA Master Agreement
– standardized OTC contractNotional amounts and market
valuesForeign Exchange/Interest Rate Forwards (Figure
2.2)Foreign Exchange/Interest Rate Swaps (Figure 2.3)Foreign
Exchange/Interest Rate/Equity Options
(Figure 2.4)
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Orders and ProceduresOTC early terminationOffset with
original partyOffset with another partyBoth contracts
remainFinancial risk offsetDefault risk remainsCash settlement
common in OTC market
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Clearing and SettlementRole of clearinghouseFutures
transaction on derivatives exchange
(see Figure 2.5) Options transaction on derivatives exchange
(see Figure 2.6)
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Daily SettlementClearinghouse means of credit risk
management is through margin deposit (or performance
bond)Initial margin – amount deposited on day transaction
openedMaintenance margin – amount that must be maintained
every day thereafterSettlement price – average of last few trades
of dayMarked to market – gains/losses charged daily, process
called daily settlementMargin call – additional funds
requiredVariation margin – additional funds deposited
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Market ParticipantsMarket maker – quotes bid and ask
pricesScalpers – hold positions for very short period of
timeFloor broker (futures commission merchant) – execute
orders for non-members of exchangeTraders – execute trades for
themselves or their companyPosition traders – view
drivenArbitrageurs – seek profits for misalignment of prices
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Transaction CostsFloor trading and clearing
feesCommissionsBid-Ask SpreadsDelivery CostsOther
Transaction CostsTaxes
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Regulation of Derivatives MarketsColorful history due to
alignment with gamblingSEC, created in 1934, regulates
securities and options on stocks as well as currenciesIn U.S.,
regulations originated in Department of
AgricultureCommodities Futures Trading Commission created
in 1974Dodd-Frank Wall Street Reform and Consumer
Protection Act passed in 2010TransparencyMore multilateral
clearingDisclosureReduce systemic risk
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
SummaryTypes of derivativesOrigins and development of
derivatives marketsExchange-listed derivatives tradingOver-the-
counter derivatives tradingClearing and settlementMarket
participantsTransaction costsTaxesRegulation of derivatives
markets
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 2: *
(Return to text slide)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Chapter 4: Option Pricing Models:
The Binomial Model
Options traders can get by with less math than you think. Tour
de France cyclists don't need to know how to solve Newton's
laws in order to bank around a curve. Indeed, thinking too much
about physics while riding or playing tennis may prove a
hindrance. But good traders do have to have the patience to
understand the essential mechanism of replicating the factors
they're trading.
Emanuel Derman
The Journal of Derivatives, Winter 2000, p. 62
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Important Concepts in Chapter 4The concept of an option
pricing modelThe one- and two-period binomial option pricing
modelsExplanation of the establishment and maintenance of a
risk-free hedgeIllustration of how early exercise can be
capturedThe extension of the binomial model to any number of
time periodsAlternative specifications of the binomial model
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *Definition of a modelA simplified representation of
reality that uses certain inputs to produce an output or
resultDefinition of an option pricing modelA mathematical
formula that uses the factors that determine an option’s price as
inputs to produce the theoretical fair value of an option.
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial ModelConditions and assumptionsOne
period, two outcomes (states)S = current stock priceu = 1 +
return if stock goes upd = 1 + return if stock goes downr = risk-
free rateValue of European call at expiration one period laterCu
= Max(0, Su – X) orCd = Max(0, Sd – X)See Figure 4.1
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial Model (continued)Important point: d < 1 +
r < u to prevent arbitrageWe construct a hedge portfolio of h
shares of stock and one short call. Current value of portfolio:V
= hS – CAt expiration the hedge portfolio will be worthVu =
hSu – CuVd = hSd – CdIf we are hedged, these must be equal.
Setting Vu = Vd and solving for h gives
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial Model (continued)These values are all
known so h is easily computedSince the portfolio is riskless, it
should earn the risk-free rate. ThusV(1+r) = Vu (or
Vd)Substituting for V and Vu(hS – C)(1 + r) = hSu – CuAnd the
theoretical value of the option is
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial Model (continued)This is the theoretical
value of the call as determined by the stock price, exercise
price, risk-free rate, and up and down factors.The probabilities
of the up and down moves were never specified. They are
irrelevant to the option price.
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial Model (continued)An Illustrative
ExampleS = 100, X = 100, u = 1.25, d = 0.80, r = 0.07First find
the values of Cu, Cd, h, and p:Cu = Max(0, 100(1.25) – 100)
= Max(0, 125 – 100) = 25Cd = Max(0, 100(0.80) – 100) =
Max(0, 80 – 100) = 0h = (25 – 0)/(125 – 80) = 0.556p = (1.07 –
0.80)/(1.25 – 0.80) = 0.6Then insert into the formula for C:
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial Model (continued)A Hedged Portfolio
Short 1,000 calls and long 1000h = 1000(0.556) = 556 shares.
See Figure 4.2.Value of investment: V = 556($100) –
1,000($14.02)
$41,580. (This is how much money you must put up.)Stock
goes to $125Value of investment = 556($125) – 1,000($25)
= $44,500Stock goes to $80Value of investment = 556($80) –
1,000($0)
= $44,480
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
One-Period Binomial Model (continued)
An Overpriced CallLet the call be selling for $15.00Your
amount invested is 556($100) – 1,000($15.00)
= $40,600You will still end up with $44,500, which is a 9.6%
return.Everyone will take advantage of this, forcing the call
price to fall to $14.02
You invested $41,580 and got back $44,500, a 7 % return,
which is the risk-free rate.
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
An Underpriced CallLet the call be priced at $13Sell short 556
shares at $100 and buy 1,000 calls at $13. This will generate a
cash inflow of $42,600.At expiration, you will end up paying
out $44,500.This is like a loan in which you borrowed $42,600
and paid back $44,500, a rate of 4.46%, which beats the risk-
free borrowing rate.
One-Period Binomial Model (continued)
© 2015 Cengage Learning. All Rights Reserved. May not be
scanned, copied or duplicated, or posted to a publicly accessible
website, in whole or in part.
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Two-Period Binomial Model
We now let the stock go up another period so that it ends up
Su2, Sud or Sd2.See Figure 4.3.The option expires after two
periods with three possible values:
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *After one period the call will have one period to go
before expiration. Thus, it will worth either of the following
two values
The price of the call today will be
Two-Period Binomial Model (continued)
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Ch. 4: *
Two-Period Binomial Model (continued)The hedge ratios are
different in the different states:
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Ch. 4: *
Two-Period Binomial Model (continued)An Illustrative
ExampleSu2 = 100(1.25)2 = 156.25Sud = 100(1.25)(0.80) =
100Sd2 = 100(0.80)2 = 64The call option prices are as follows
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Two-Period Binomial Model (continued)The two values of the
call at the end of the first period are
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Ch. 4: *
Two-Period Binomial Model (continued)Therefore, the value of
the call today is
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Ch. 4: *
Two-Period Binomial Model (continued)A Hedge PortfolioSee
Figure 4.4.Call trades at its theoretical value of $17.69.Hedge
ratio today: h = (31.54 – 0.0)/(125 – 80) = 0.701SoBuy 701
shares at $100 for $70,100Sell 1,000 calls at $17.69 for
$17,690Net investment: $52,410
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*
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Ch. 4: *
Two-Period Binomial Model (continued)A Hedge Portfolio
(continued)Note each of the possibilities:Stock goes to 125,
then 156.25Stock goes to 125, then to 100Stock goes to 80, then
to 100Stock goes to 80, then to 64In each case, you wealth
grows by 7% at the end of the first period. You then revise the
mix of stock and calls by either buying or selling shares or
options. Funds realized from selling are invested at 7% and
funds necessary for buying are borrowed at 7%.
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Two-Period Binomial Model (continued)A Hedge Portfolio
(continued)Your wealth then grows by 7% from the end of the
first period to the end of the second.Conclusion: If the option is
correctly priced and you maintain the appropriate mix of shares
and calls as indicated by the hedge ratio, you earn a risk-free
return over both periods.
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Two-Period Binomial Model (continued)A Mispriced Call in the
Two-Period WorldIf the call is underpriced, you buy it and
short the stock, maintaining the correct hedge over both periods.
You end up borrowing at less than the risk-free rate.If the call
is overpriced, you sell it and buy the stock, maintaining the
correct hedge over both periods. You end up lending at more
than the risk-free rate.See Table 4.1 for summary.
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial ModelPricing Put OptionsSame
procedure as calls but use put payoff formula at expiration. In
our example the put prices at expiration are
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)The two values of the put at the end of the
first period are
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)Therefore, the value of the put today is
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)Let us hedge a long position in stock by
purchasing puts. The hedge ratio formula is the same except that
we ignore the negative sign:
Thus, we shall buy 299 shares and 1,000 puts. This will cost
$29,900 (299 x $100) + $5,030 (1,000 x $5.03) for a total of
$34,930.
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)Stock goes from 100 to 125. We now
have299 shares at $125 + 1,000 puts at $0.0 = $37,375This is a
7% gain over $34,930. The new hedge ratio is
Thus, sell 299 shares, receiving 299($125) = $37,375, which is
invested in risk-free bonds.
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)Stock goes from 100 to 80. We now
have299 shares at $80 + 1,000 puts at $13.46 = $37,380This is a
7% gain over $34,930. The new hedge ratio is
Thus, buy 701 shares, paying 701($80) = $56,080, by borrowing
at the risk-free rate.
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website, in whole or in part.
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)Stock goes from 125 to 156.25. We now
haveBond worth $37,375(1.07) = $39,991This is a 7%
gain.Stock goes from 125 to 100. We now haveBond worth
$37,375(1.07) = $39,991This is a 7% gain.
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website, in whole or in part.
An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Pricing Put
Options (continued)Stock goes from 80 to 100. We now
have1,000 shares worth $100 each, 1,000 puts worth $0 each,
plus a loan in which we owe $56,080(1.07)
= $60,006 for a total of $39,994, a 7% gainStock goes from 80
to 64. We now have1,000 shares worth $64 each, 1,000 puts
worth $36 each, plus a loan in which we owe $56,080(1.07)
= $60,006 for a total of $39,994, a 7% gain
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An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)American Puts
and Early ExerciseNow we must consider the possibility of
exercising the put early. At time 1 the European put values
werePu = 0.00 when the stock is at 125Pd = 13.46 when the
stock is at 80When the stock is at 80, the put is in-the-money by
$20 so exercise it early. Replace Pu = 13.46 with Pu = 20. The
value of the put today is higher at
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An Introduction to Derivatives and Risk Management, 10th ed.
*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early ExerciseOne way to
4.5 for example with a 10% yieldThe call prices at expiration
are
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early Exercise
(continued)The European call prices after one period are
The European call value at time 0 is
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Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early Exercise
(continued)If the call is American, when the stock is at 125, it
pays a dividend of $12.50 and then falls to $112.50. We can
exercise it, paying $100, and receive a stock worth $125. The
stock goes ex-dividend, falling to $112.50 but we get the $12.50
dividend. So at that point, the option is worth $25. We replace
the binomial value of Cu = $22.78 with Cu = $25. At time 0 the
value is
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early Exercise
(continued)Alternatively, we can specify that the stock pays a
specific dollar dividend at time 1. Assume $12. Unfortunately,
the tree no longer recombines, as in Figure 4.6. We can still
calculate the option value but the tree grows large very fast.
See Figure 4.7.Because of the reduction in the number of
computations, trees that recombine are preferred over trees that
do not recombine.
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early Exercise
(continued)Yet another alternative (and preferred) specification
is to subtract the present value of the dividends from the stock
price (as we did in Chapter 3) and let the adjusted stock price
follow the binomial up and down factors. For this problem, see
Figure 4.8.The tree now recombines and we can easily calculate
the option values following the same procedure as before.
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early Exercise
(continued)The option prices at expiration are
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)Dividends,
European Calls, American Calls, and Early Exercise
(continued)At time 1 the option prices are
We exercise at time 1 so that Cu is now 22.99. At time 0
The European option value would be 12.18.
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Chance/Brooks
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Ch. 4: *
Extensions of the Binomial Model (continued)Foreign Currency
OptionsUnderlying instrument is currencyHolding of foreign
currency can earn the foreign risk-free interest rateThe binomial
probability is altered to adjust for the foreign risk-free interest
rate effectThe binomial probability is
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Ch. 4: *
Extensions of the Binomial Model (continued)Extending the
Binomial Model to n PeriodsWith n periods to go, the binomial
model can be easily extended. There is a long and somewhat
complex looking formula in the book. The basic procedure,
however, is the same. See Figure 4.9 in which we see below the
stock prices the prices of European and American puts. This
illustrates the early exercise possibilities for American puts,
which can occur in multiple time periods.At each step, we must
check for early exercise by comparing the value if exercised to
the value if not exercised and use the higher value of the two.
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Ch. 4: *
Extensions of the Binomial Model (continued)Behavior of the
Binomial Model for Large n and a Fixed Option LifeThe risk-
free rate is adjusted to (1 + r)T/n–1The up and down parameters
are adjusted to
with one period.
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)The Behavior of
the Binomial Model for Large n and a Fixed Option Life
(continued)The parameters are now
The new stock prices areSu = 125.9375(1.293087) =
162.8481Sd = 125.9375(0.773343) = 97.3929
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)The Behavior of
the Binomial Model for Large n and a Fixed Option Life
(continued)The new option prices would be
Cu = Max(0, 162.8481–125) = 37.85
Cd = Max(0 ,97.3929 – 125) = 0.0p would be (1.004285 –
0.773343)/(1.293087 – 0.773343) = 0.444; 1 – p = 0.556.The
price of the option at time 0 is, therefore,
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial Model (continued)The Behavior of
the Binomial Model for Large n and a Fixed Option Life
(continued)The actual price of the option is 13.50, but
obviously one binomial period is not enough.Table 4.2 shows
what happens as we increase the number of binomial periods.
The price converges to around 13.56. In Chapter 5, we shall see
that this is approximately the Black-Scholes-Merton price.
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*
Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial ModelAlternative Specifications of
the Binomial ModelWe can use a different specification of u, d
and p
where ln(1 + r) is the continuously compounded interest rate.
Here p will converge to 0.5 as n increases.
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An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial ModelAlternative Specifications of
the Binomial Model (continued)Now let us price the DCRB June
125 call but use two periods. We have r = (1.0456)0.0959/2 – 1
= 0.0021. Using our previous formulas,
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
Extensions of the Binomial ModelAlternative Specifications of
the Binomial Model (continued)Now let us use these new
formulas:
We can use 0.5 for p. See Figure 4.10. The prices are close and
will converge when n is large.See
BlackScholesMertonBinomial10e.xlsm for software to calculate
the binomial model.
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Chance/Brooks
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Ch. 4: *
Summary
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Ch. 4: *
(Return to text slide)
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Chance/Brooks
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Ch. 4: *
(Return to text slide)
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
(Return to text slide)
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Chance/Brooks
An Introduction to Derivatives and Risk Management, 10th ed.
Ch. 4: *
(Return to text slide)
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Chance/Brooks
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Ch. 4: *
(Return to text slide)
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Chance/Brooks
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Ch. 4: *
(Return to text slide)
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Chance/Brooks
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Ch. 4: *
(Return to text slide)
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Ch. 4: *
(Return to text slide)
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Ch. 4: *
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Ch. 4: *
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d)
-
d)/(u
-
r
(1
=
p
where
r
1
p)C
(1
pC
C
d
u
+
+
-
+
=
14.02
1.07
0.0
)
.4
0
(
(0.6)25
C
=
+
=
X]
Sd
Max[0,
C
X]
Sud
Max[0,
C
X]
Su
Max[0,
C
2
d
ud
2
u
2
2
-
=
-
=
-
=
r
1
p)C
(1
pC
C
or
,
r
1
p)C
(1
pC
C
2
2
d
du
d
ud
u
u
+
-
+
=
+
-
+
=
2
d
2
ud
u
2
d
u
r)
(1
C
p)
(1
p)C
2p(1
C
p
C
as
written
be
also
can
which
r
1
p)C
(1
pC
C
2
2
+
-
+
-
+
=
+
-
+
=
2
d
ud
d
2
ud
u
u
d
u
Sd
Sud
C
C
h
,
Sud
Su
C
C
h
,
Sd
Su
C
C
h
2
2
-
-
=
-
-
=
-
-
=
0.0
100]
Max[0,64
X]
Sd
Max[0,
C
0.0
100]
Max[0,100
X]
Sud
Max[0,
C
56.25
100]
25
Max[0,156.
X]
Su
Max[0,
C
2
d
ud
2
u
2
2
=
-
=
-
=
=
-
=
-
=
=
-
=
-
=
0.0
1.07
0.0
)
.4
0
(
(0.6)0.0
r
1
p)C
(1
pC
C
or
31.54
1.07
(0.4)0.0
+
(0.6)56.25
=
r
1
p)C
(1
pC
C
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Free Crowdfunding Promotion
Publication info: M2 Presswire ; Coventry [Coventry]22 Aug
2016.
ProQuest document link
ABSTRACT
CrowdFunding is a team work! Twitter, Facebook, Press
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Startups Featured crowdfunding 2016 crowdsourcing.org
crowdsourcing Kickstarter Indiegogo Campaign funding
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crowdfunding.
FULL TEXT
M2 PRESSWIRE-August 22, 2016-Free Crowdfunding
Promotion
(C)2016 M2 COMMUNICATIONS http://www.m2.com
August 22, 2016
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((Comments on this story may be sent to [email protected]))
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Publication title: M2 Presswire; Coventry
Publication year: 2016
Publication date: Aug 22, 2016
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Crowdfunding Promotion
Running Head: CROWDFUNDING 1
CROWDFUNDING 8
Crowdfunding
Crowdfunding can be regarded as a new method used in raising
funds. The method is growing promptly around the universe.
Globally, the method, crowdfunding platforms, was used to
raise more than US$16B in 2014 while in 2015 more than
US$32 B was raised. Crowdfunding is the way or process in
which a lot of individuals regarded as the crowd contribute
comparatively small amounts in terms of money with intentions
to support businesses or projects. The crowdfunding is grouped
into three ways which include rewards, debt, and equity
crowdfunding generally. However, how much the method is
useful to businesses and projects, it has not gained popularity
amongst individuals worldwide. The biggest challenge to this
that even people who are aware of it are not willing to learn
how the term works. Most entrepreneurs do not appreciate it. In
order for the crowding funding to grow, education is very vital.
Particularly markets in the Middle East because the concept is
novel compared to European and US markets.
Keywords: Crowdfunding, Rewards, Debt, Equity, Education
Crowdfunding is a term for describing the use of small amounts
of money obtain from a great number of individuals and
organizations to fund a project. Crowdfunding permits authors
of for-profit generation, masterful, and social dares to finance
their endeavors by drawing on moderately little commitments
from a generally expansive number of people utilizing the web,
without standard money related go-betweens. Crowdfunding has
four subcategories such as donation crowdfunding, reward
crowdfunding, peer-to-peer lending and equity crowdfunding.
Crowdfunding tasks can go incredibly in both objective and
size, from little aesthetic activities to business people looking
for a huge number of dollars in seed capital as a contrasting
option to conventional funding venture. Though equity
crowdfunding gives ventures the chance to collect capital from
a huge base of financiers, many campaigns sometimes tend to be
unsuccessful (Kuppuswamy and Bayus, 2016).
Lukkarinen et al. (2016), carried out a research to find out the
factors which contribute to the success of Crowdfunding
project. The authors drew their research using equity and
reward-based crowdfunding which is most used by
entrepreneurs. Utilizing data from North Europe, from one of
the leading platforms which facilitates crowdfunding, they
explored factors which drove investors as well as the amount
gotten from the equity crowdfunding promotions. The authors
found out that besides some crowdfunding projects being
successful, there are also other projects which are not
successful and make a huge amount of losses. The results
indicated that success of crowdfunding campaigns related to
pre-identified crowdfunding campaign features as well as both
public and private networks’ utilization.
In a study conducted by Kuppuswamy and Bayus (2016), to
determine if someone’ contribution to someone else
crowdfunding project matter? They considered the
crowdfunding dynamics for project support for a given time.
They proposed that individuals support crowdfunding project
financially if they are assured that their support and
involvement will result in an impact. Since perceptions of
influence are positively connected to the objective proximity,
they predicted that project support using crowdfunding
increases when the project funding heads to its target aim.
Furthermore, since motivation reduces after the objective is
reached, they further predicted that crowdfunding helps
significantly decrease when target objective is attained. They
found the above with strong reference for hypotheses gotten
from the study of Kickstarter.
Davis et al. (2017), carried research to determine whether there
is a customers’ perception of a product and its crowdfunding.
They drew their study on the effective events theory. The
research concerned funders' perceptions, as well as the
expectation alignment in products with their presenters. They
tested their hypotheses relationships which were drawn from a
sample which included 102 participants. The participants
assessed ten different kinds of product pitches made which were
made by ten different entrepreneurs. The results indicated that
crowdfunding is positively related to product creativity, either
direct or indirect. The indirect effect in contingent to the extent
of funders’ perception on the entrepreneurs whether he/she is
passionate or not, i.e., the perceived entrepreneurial, passionate
upsurges positive nature for the indirect effect.
Zao et al. (2016) researched to find out the Determinants of
backers’ funding intention in crowdfunding because the success
of crowdfunding projects had become less than 50%. They
considered that project components found in most platforms
should attract visitors’ as well increasing achievement of goals
for fundraising. Utilizing the social exchange theory for the
intentions of funding which influenced backers, the study
examined key factors. 204 backers were involved in the
research. The204 backers were involved in the study. The
results indicated to be a relationship between the fundraising
intentions and the commitment.
However, how much the method is useful to businesses and
projects, it has not gained popularity amongst individuals
worldwide. The biggest challenge to this is that even people
who are aware of it are not willing to learn how the term works.
Most entrepreneurs do not appreciate it. In order for the
crowding funding to grow, education is very vital. Particularly
markets in the Middle East because the concept is novel
compared to European and US markets.
Studies have been done worldwide to relate the success of
crowdfunding projects and peoples’ awareness. The finding has
been mixed up, indicating several factors which result in its
success. However, these factors do not indicate if the success is
directly attributable to the education of crowdfunding to people.
The people fail to know crowdfunding well has resulted in many
projects failing. It is in this line of the above arguments that
this study, therefore, intends to establish and understand if
education can make people get familiar with crowdfunding
which can result in its growth. So the research question would
be; is there a relationship between the success of crowdfunding
and people’ familiarity with education?
Crowdfunding refers to as a process by which a project or a
venture is funded by raising many little amounts of capital by a
large group of people through the internet. Its platforms are
websites which allow to set up an online fundraising campaign
and receive money from individuals. It is a combination of
crowdsourcing, a practice of engaging a group of people for a
common goal especially innovation, and micro-financing. The
entire act is made possible by three groups of people namely the
project initiator, a person who gives out an idea about the
project and how the money will be contributed, individuals or
groups who second the initiator's idea and lastly a moderating
organization that gathers the two parties to launch the concept.
Undoubtedly, the crowding process has grown significantly in
recent years helping individuals who have business ideas but
lack capital to be funded. However, global business analysts
still consider the process to be in its early stage of development
because many people globally have not embraced the method of
project funding.
1. Donation Crowdfunding
This type of crowdfunding is a way to fund money for a project
by asking individuals or large numbers of generous donors
online. Donations based crowdfunding usually run on a charity
basis and not for profit. Donators see their rewards in the form
of happiness because their money is being used for a great
cause.
2. Reward-based crowdfunding
This is a type of crowdfunding where the individuals taking part
in an initiated project contribute a certain agreed amount of
money for a reward. Most of the time, the token is usually the
commodity being produced. There are two leading platforms of
overcrowding that are reward-based namely the Kickstarter and
Indiegogo. It is believed that the reward based technique is
more rewarding than the other categories for it focuses more on
the act of only donating to come up with the money required to
run the project. This implies that one does not have to seek
funds from other sources for there is no fixed amount of money
a backer is required to contribute sparing him from the risks
that might be associated with taking bank loans.
3. Peer to peer lending
This is a category of crowdfunding entails the process whereby
a peer to peer lending sites links borrowers with possible
investors via the internet. The peer to peer lending sites ensures
they have all the relevant details about a borrower to avoid
circumstance of cons taking advantage. The lending services
also act as an intermediary of the interest rates to be paid by a
borrower. This method of raising capital to run an errand has
benefits; for instance, an investor can get substantial returns of
interest as compared to if he took his money in the bank.
4. Equity Crowdfunding
This type of crowdfunding is similar to peer-to-peer lending
regarding an online platform. Individuals can invest in a
business through the platform and gain equity stake. These
businesses are early stage small start-ups with no other access
to funding. Once the online platform completes the equity
raising, then the crowd investors hold equity stakes in the firm.
However, these businesses are riskier as an investment.
Success is a process of achieving set goals.
Many people are not familiar with crowdfunding, such that they
need education about it.
However, how much the crowdfunding is useful to businesses
and projects, it has not gained popularity amongst individuals
worldwide. The biggest challenge to this is that even people
who are aware of it are not willing to learn how the term works.
Most entrepreneurs do not appreciate it. In order for the
crowding funding to grow, education is very vital. Particularly
markets in the Middle East because the concept is novel
compared to European and US markets. This study is
significant to the following groups of people: scholars, the
government of different nations, policymakers, investors and
the corporate bodies. There is a need for the general public to
know and understand well what crowdfunding is before
investing their funds to those projects being backed by the
crowdfunding. Through the study, they will be able to
understand it well. Investors will also understand the reason
why some of their projects fail upon being initiated. For
scholarly purposes, this study contributes to this discussion
through finding the relationship between education of people
and success of crowdfunding. Future researchers can use the
findings of this study to further arguments on the knowledge of
people vs. the crowdfunding growth or on other topics that find
this study relevant.
Crowdfunding success on projects depends on various factors
including people aware of what the crowdfunding what it is.
Education plays a vital role in informing the public what it is
and what intentions are projects are up to. Education for the
above can be carried out through the Social Media as well as in
school classes. Molick (2013), suggests that through personal
networks as well as the underlying project quality results in the
success of projects using crowdfunding efforts.
Notwithstanding, over a huge amount of money regarding
billion dollars used by a vast number of individual
crowdfunding sponsor an extensive scale activity by US
Congress to empower crowdfunding as a wellspring of capital
for new pursuits. Even essential education or scholastic
information of the elements of crowdfunding is missing, outside
of the still-unprecedented examination of specific crowdfunding
endeavors Butticè, Colombo, & Wright, 2017). For instance,
researchers know next to none about the flow of effective
crowdfunding, and also the general appropriation and utilization
of crowdfunding components. No information to show in the
case of crowdfunding endeavors fortify or negate existing
hypotheses about how ventures raise capital and make progress.
There is additionally vulnerability about the long haul
ramifications of crowdfunding, for example, in the case of
existing activities eventually convey the items they guarantee.
To put it plainly, this vital and developing region of
entrepreneurial movement and government activity is
understudied, even as both practice and strategy keep on rapidly
progress. People should be educated all that is concerning the
above.
There are various forms and benefits of crowdfunding which
people should be educated to know more about them so that
they can take advantage of them. They can be educated on the
wide variety of benefits such as in a donation-based
crowdfunding technique which can help one to get a Nobel price
is where one comes up with the idea of raising money for a
charitable cause. Examples are educating the girl child on ways
to avoid getting pregnant before finishing school, conserving
the energy, helping the orphans or the elderly in the society
among others. The person can be shortlisted for the Nobel
award because of his actions that purposes to make the world a
better place. Donation based has an advantage of enabling one
to raise money for his project that is non-profitable through
internet sites, for example, Milaap. This makes it more cost-
effective as compared to the traditional way of raising money
for a charitable cause that required one to use television or
radio stations to advertise (Davis et al., 2017). Moreover, the
new method of raising fund for charity projects saves one the
process of booking space for his advertisement on air.
Pirkle (2015), indicates that many people are not aware of the
crowdfunding as a way of funding their projects. They have
been constraining to growth by banks because they have only
known them as sources of funds. However, these entrepreneurs
are open to other options to fund their business such as
crowdfunding. The author further indicates that there is little
knowledge held by the public concerning the crowdfunding, and
even those who know about it are not well informed of how it
works. Pirkle further suggests that governments and other
bodies should come up with ways of educating the people on the
usefulness of crowdfunding. He indicates that crowdfunding can
be used for various purposes to support charities. He further
states that the traditional forms of banking are not viable since
they cannot help acquire enough capitals.
For Eureeca, with the education of financial specialists
(investors) and entrepreneurs about the crowdfunding – how it
operates, why it's useful, how your venture can be arranged for
a startup –essential challenge. Business people, for instance, are
furnished with formats, go-to-showcase methodologies, and
promoting playbooks. They likewise reach several classes and
workshops for getting ready organizations for the stage.
Financial specialists are additionally focused on such measures
so as to influence the crowd investing in processing not so much
befuddling but rather more engaging (Pirkle, 2015).
In conclusion, I would indicate that Crowdfunding can make it
possible for large crowds of people to fund their innovative
projects. The kind of funding can tap much wisdom of crowds
who were previously not connected it. Countries, States,
Nations and other groups should come with ways to educate the
people on how to appreciate the crowdfunding which can
improve finances of their projects. I would recommend the
Success of projects initiated through crowdfunding can only be
successful if all parties involved are well informed through
education.
References
Butticè, V., Colombo, M. G., & Wright, M. (2017). Serial
crowdfunding, social capital, and
project success. Entrepreneurship Theory and Practice, 41(2),
183-207.
Davis, B., Hmieleski, K., Webb, J., & Coombs, J. (2017).
Funders’ positive affective reactions to
entrepreneurs’ crowdfunding pitches. The influence of
perceived product creativity and
entrepreneurial passion. Journal of Business Venturing, 32 (1),
90-106.
Kuppuswamy, V., & Bayus, B. (2017). Does my contribution to
your crowdfunding project
matter?. Journal of Business Venturing, 32 (1), 72-89. Retrieved
from
https://www.sciencedirect.com/science/article/pii/S0883902616
302075
Lu, L., & Fulk, J. (2017, January). Exploring Crowdfunding
Projects’ Success through Social
Embeddedness and Knowledge Exchange Process. In Academy
of Management Proceedings (Vol. 2017, No. 1, p. 15917).
Academy of Management.
Lukkarinen, A., Teich, J., Wallenius, H., & Wallenius, J.
(2016). Success drivers of online equity
crowdfunding campaigns. Decision Support Systems, 87, 26-38.
Retrieved from
https://www.sciencedirect.com/science/article/pii/S0167923616
300598
Mollick, E. (2014). The dynamics of crowdfunding: An
exploratory study. Journal of Business
Venturing, Retrieved from
https://www.sciencedirect.com/science/article/pii/S0883902613
00058X
Pirkle, H. (2015). Crowdfunding platforms see education as the
key to growth. Retrieved from
https://www.wamda.com/2015/02/education-key-to-
crowdfunding-success
Zhao, Q., Chen, C., Wang, J. & Chen, P. (2016). Determinants
of backers’ funding intention in
crowdfunding: Social exchange theory and regulatory focus.
Retrieved
fromhttps://www.sciencedirect.com/science/article/pii/S073658
5316300582
1 | P a g e
1 The authors are a Research Intern and Senior Economist at
IOSCO. They thank those who participated in industry
roundtables and
conference calls for their open and frank views on this subject.
Additionally they would like to thank IOSCO members for their
contribution in helping to craft certain sections of this report.
Crowd-funding: An Infant
Industry Growing Fast
Staff Working Paper of the IOSCO Research Department
Authors: Eleanor Kirby and Shane Worner 1
This Staff Working Paper should not be reported as representing
the views of IOSCO.
The views and opinions expressed in this Staff Working Paper
are those of the authors and do not
necessarily reflect the views of the International Organisation
of Securities Commissions or its
members.
For further information please contact: [email protected]
Staff Working Paper: [SWP3/2014]
2 | P a g e
About this Document
The IOSCO Research Department is conducting research and
analysis around IOSCO Principles
6 (on systemic risk) and 7 (reviewing the perimeter of
regulation). To support these efforts, the
IOSCO Research Department is undertaking a number of
information gathering exercises
including extensive market intelligence in financial centres; risk
roundtables with prominent
members of industry and regulators; data gathering and
analysis; the construction of
quantitative risk indicators; a survey on emerging risks to
regulators, academics and market
participants; and review of the current literature on risks by
experts.
This holistic approach to risk identification is important in
order to capture those potential
risks that may not be apparent in the available data (i.e. not
necessarily quantifiable), or which
may be currently seen as outside the perimeter of securities
market regulation, but
nonetheless significant.
Two potential areas of financial innovation that have seen
strong growth in recent years are
peer-to-peer lending and equity crowd-funding. These industries
affect a number of key global
initiatives outlined by IOSCO and the G20. These include the
diversification and broadening of
markets; mechanisms aiding in the long-term financing of the
real economy; and the
promotion of wider stability within the financial system.
As a first step towards engaging with this issue, the IOSCO
Research Department, has
undertaken a review of these practices and how they might
relate to IOSCO, its members and
their regulatory remit and the wider real economy. This IOSCO
Staff Working Paper “Crowd-
funding: An Infant Industry Growing Fast” presents a review of
financial return crowd-funding,
as well as key insights on the main implications for users. It is
the first publication of its kind in
tying together a global overview of the industry along with a
mapping exercise of the global
regulatory landscape.
3 | P a g e
Table of contents
Executive Summary
...............................................................................................
........................ 4
Introduction
...............................................................................................
................................... 8
Chapter 1: Nature of the industries
............................................................................................
12
Chapter 2: Benefits and Risks of Financial Return crowd-
funding .............................................. 21
Chapter 3: Current regulatory regimes and trends
..................................................................... 29
Chapter 4: Analysis of potential systemic risks and investor
protection concerns .................... 33
Chapter 5: Crowdfunding in the context of the IOSCO
Objectives and Principles ...................... 47
Chapter 6: Conclusions and next steps
....................................................................................... 50
Annex 1: Regulatory practices by country
.................................................................................. 52
Annex 2: List of figures and tables
..............................................................................................
63
4 | P a g e
Executive Summary
Introduction
• Crowd-funding is an umbrella term describing the use of small
amounts of money,
obtained from a large number of individuals or organisations, to
fund a project, a
business or personal loan, and other needs through an online
web-based platform.
• Crowd-funding has four subcategories: Donation crowd-
funding, reward crowd-
funding, peer-to-peer lending and equity crowd-funding. This
document is a factual
report analysing peer-to-peer lending and equity crowd-
funding, being forms of
market-based finance that are collectively referred to as
“financial return crowd-
funding” or “FR crowd-funding”.
• The online nature and the usually small size of investments of
FR crowd-funding makes
this industry different from private placement or other similar
activities.
Nature of financial return crowd-funding
• FR crowd-funding globally has grown rapidly in the last 5
years, with data suggesting
that the peer-to-peer lending market doubles each year. It
accounts for approximately
$6.4 billion outstanding globally.
• FR crowd-funding market is worth over $1 billion in the USA,
the UK and China, and is
taking off in many other jurisdictions across the world.
• FR crowd-funding has three main business models: the client
segregated account
model, the notary model and the equity crowd-funding model.
The major difference
between the two peer-to-peer lending models, the client
segregated account model
and the notary model, is that in the latter a bank originates the
loan unlike the former
where the platform originates the loan. The third model, equity
crowd-funding, is
different from peer-to-peer lending as it allocates stock equity
to investors, with the
financial return coming in the form of dividends and/or capital
growth.
Key benefits
• The primary benefit of FR crowd-funding to entrepreneurs
seeking to raise funds as a
form of market-based finance is the ability to raise capital, in
most cases without giving
up large parcels of equity interest.
• FR crowd-funding spreads risk – the majority of investors are
individuals (although
some institutional investors are beginning to enter the market)
with funding requests
filled in much smaller incremental amounts.
• Another benefit is the lower cost of capital and higher returns
to investors – crowd-
funding provides a low cost alternative to channelling savings
to the real economy,
usually at rates lower than those attainable through traditional
funding avenues.
Additionally, venture and seed capital requests are difficult to
access in the current
economic environment. Crowd-funding alternatives provide an
affordable and
attainable option for raising capital.
5 | P a g e
• FR crowd-funding can help economic recovery by financing
small and medium
enterprises (SMEs) which are a key engine of economic growth.
Helping those entities
more efficiently access capital for their development and
expansion can contribute to
job creation and economic recovery.
Key risks
• Risk of default: In equity crowd-funding the risk of
default/investment failure is
estimated to be around 50%. In peer-to-peer lending there has
been a concerted effort
by the industry to reduce default rates, which reached a high of
30% in 2009. While
there has been some success in reducing the default rate, the
actual rate of default in
many cases is unknown as many of the platforms have only
opened in the last three
years and the loans originated by them have only recently
started to mature.
• Risk of platform closure/failure: Despite the short life of
crowd-funding, there has
already been a case of a peer-to-peer lending platform closing
leaving no data on
contracts behind and resulting in 100% investment loss.
Investors bear a higher risk
than in many other types of investments.
• Risk of fraud: This is compounded in both peer-to-peer
lending and equity crowd-
funding by the anonymity created by the online aspect of these
industries. This is the
case for both the lender/investor and borrower/issuer parties,
whereby the
opportunity to defraud is an ever present reality.
• Risk of illiquidity: Investors cannot sell their participations as
there doesn´t exist a
secondary market. This lack of liquidity in FR crowd-funding
could be a risk for
investors if they are not aware of this.
• Risk of cyber-attack: The online nature of FR crowd-funding
makes FR-crowd funding
vulnerable to the risk of cyber-attacks.
• Lack of transparency and disclosure of risks: Risks tend not to
be disclosed until a
lender/investor becomes a member of the platform.
Regulatory regimes
• The regulatory regimes are dependent on jurisdictional choices
in regulation.
• There currently is no cross-jurisdictional harmonisation in the
regulation of these
industries.
Peer-to-peer lending is regulated in five different ways. These
are:
1. Exempt/ unregulated through lack of definition
2. Platforms regulated as an intermediary
3. Platforms regulated as a bank
4. The US model: there are two levels of regulation, Federal
regulation through the
Securities and Exchange Commission (SEC) and state level,
where platforms have to
apply on a state-by-state basis.
5. Prohibited
6 | P a g e
Equity crowd-funding is regulated under three main regimes.
These are:
1. Regulation that prohibits equity crowd-funding completely.
2. Equity crowd-funding is legal but the regulation of the
industry creates high barriers to
entry
3. Regulation may allow the industry to exist, but with strict
limits
• One approach to the regulation of FR crowd-funding by some
jurisdictions looks to
designate the markets as exempt or to lighten the regulations
around the issuance of
shares through equity crowd-funding in order to promote SME
growth.
Analysis of potential systemic risks and investor protection
concerns
• Drawing on the past work of the IOSCO Research Department
peer-to-peer lending and
equity crowd-funding is analysed to establish if they pose a
systemic risk. The main
conclusion at the time of writing is that the industries do not
pose systemic risk yet.
The following impact factors are relevant in this analysis.
• Size: The peer-to-peer lending market is very small,
accounting for only a fraction of all
credit provided to the real economy. However, it is an industry
that is almost doubling
each year in size. This means that even though the current
market size is too small to
cause systemic risk, it has the potential to grow to a sizeable
market in a short amount
of time.
• Liquidity: There is a lack of liquidity in peer-to-peer lending,
with relatively few
platforms providing a secondary market on which to sell loan
portfolios. Equity crowd-
funding has even less liquidity as there is no secondary market
for shares in start-ups
due to the inability to accurately judge the value of the equity
shares. This is a problem
for investors who want to liquidate positions.
• Cross-border activities and implications: A few platforms have
chosen to open their
business to other nationals, introducing cross border
complexities. Questions are yet
to be answered in regards to contract law enforcement across
jurisdictions. Further in-
depth work is required to understand the legal implications of
cross-border
operations. Therefore, cross border complexities could become
a source of systemic
risk in the future.
• Interconnectedness through securitisation practices and bank
involvement: There
have been recent examples of the securitisation of peer-to-peer
unsecured loans. This
opens the market to new investment, but also opens the rest of
the financial market to
exposure to packaged loans which are predominately unsecured
in nature. Since this
segment of the market is extremely small, it is not currently a
source of systemic risk.
In conclusion, the FR crowd-funding market does not present
systemic risk to the financial
system at present. However, rapid future growth of the market
could change this. There is
also a concern for investor protection raised by these financial
activities.
7 | P a g e
The application of the IOSCO Objectives and Principles
• IOSCO’s Objectives and Principles of Securities Regulation
provide a good regulatory
foundation for peer-to-peer lending and equity crowd-funding.
Next Steps:
• Although no currently a systemic risk, these markets do pose
problems for investor
protection which need to be addressed.
• Further monitoring and research is required. There is a need
for further research, inter
alia, in developing indicators based on hard data.
• In order to exploit the benefits of FR crowd-funding while
mitigating its risks a
balanced regulatory approach will be required. The balance will
need to be established
by each regulator as it depends on political choices and the
regulatory regime, which
varies across the globe.
• At the same time there might be a need for the international
harmonisation of
regulatory requirements given the possible cross-border nature
of the FR crowd-
funding market. IOSCO is well positioned to examine the need
for global principles or
standards in this area.
8 | P a g e
Introduction
Crowd-funding is an umbrella term describing the use of small
amounts of money, obtained
from a large number of individuals or organisations, to fund a
project, a business or personal
loan, and other needs through an online web-based platform.
Peer-to-peer lending is a form
of crowd-funding used to fund loans which are paid back with
interest. Equity crowd-funding is
the raising of capital through the issuance of stock to a number
of individual investors using
the same method as crowd-funding.
Peer-to-peer lending and equity crowd-funding platforms are of
particular interest to IOSCO
and its members because they are growing rapidly and are
accessible easily to both retail and
sophisticated investors alike. Various IOSCO members have
recently published or are in the
process of publishing guidelines, policies or reviews on
developments in their jurisdictions.
Peer-to-peer lending and equity crowd-funding have also drawn
the attention of governments
who wish to encourage the growth of small and medium
enterprises (SMEs), which has led
some governments to actively seek to lend money through these
platforms, or implement
regulatory changes through the use of exemptions or regulation
reviews of these markets.
Types of crowd-funding2
Crowd-funding can be divided into four categories: social
lending/donation crowd-funding,
reward crowd-funding, peer-to-peer lending and equity crowd-
funding.3 This is shown in
Figure 1.
Figure 1: The various forms of crowd-funding activities
Source: IOSCO Research Department
2 Crowd-funding should not be confused with micro-financing
(for example, such as the Grameen Bank style of micro-
lending).
Microfinancing is predominately a bank based exercise,
whereby the bank is the sole provider of the loan, is the
originator of the
loan and bears the risk of the loan. As such, it does not draw on
the principles of many investors funding small parts of a
required
capital need.
3 Pierrakis, Y and Collins, L (2013) Nesta…Banking on Each
Other: peer-to-peer lending to business: evidence from Funding
Circle,
[pdf] Available at:
http://www.nesta.org.uk/library/documents/Peer-to-peer-
lending-report.pdf, p11
Crowd-funding
Social
Lending/Donation
Crowd-funding
Reward Crowd-
funding
Peer-to-Peer
Lending
Equity Crowd-
funding
Financial Return Crowd-funding
(FR Crowd-funding)
Community Crowd-funding
http://www.nesta.org.uk/library/documents/Peer-to-peer-
lending-report.pdf
9 | P a g e
Social lending/donation crowd-funding and reward crowd-
funding are a way of fundraising for
charitable causes, for example through angel investors, or pre-
paying for a product from a
business, for example NakedWines.com.4 These two categories
of crowd-funding can be
collectively referred to as “community crowd-funding” (see
Figure 1). The main difference
between these forms of crowd-funding and the other two that
are the subject of this report is
that they do not provide any financial return in the form of a
yield or return on investment.5
Consequently, peer-to-peer lending and equity crowd-funding
can be referred to collectively as
“financial return crowd-funding” or “FR crowd-funding”. Both
types of FR crowd-funding are
internet based. This paper focuses on peer-to-peer lending and
equity crowd-funding due to
the clear securities market implications and regulatory remit of
IOSCO members. It is
important to note the existence of the different subcategories of
crowd-funding, and not to
take crowd-funding as being synonymous with either peer-to-
peer lending or equity crowd-
funding only. Lack of such precision in legal documents could
lead to complications in the
implementation of rules by participants.
Peer-to-peer lending can be defined as the use of an online
platform that matches
lenders/investors with borrowers/issuers in order to provide
unsecured loans. This particular
form of crowd-based financing makes up the bulk of the FR
crowd-funding market considered
here. The borrower can either be an individual or a business
requiring a loan. It is
characterised by the ability of lenders to provide money for
small fragments of the overall loan
required by a borrower; these are called “loan parts” and can be
as small as £10.6 These loan
parts are then aggregated by the online platform and when there
is enough to cover the
required loan, the loan is originated and paid to the borrower.
The interest rate is set by the
platform. The borrower then pays back the loan with interest.
This interest rate is usually
higher than the savings rates available to the lender but lower
than a traditional loan available
to the borrower, though this depends on the borrower’s
evaluated risk. The interest is paid to
the lender until one of the following occurs: the loan matures;
the borrower pays it back early
or the borrower defaults.
Smaller peer-to-peer lending platforms also cater to niche
markets. These include, though are
not limited to, platforms with a specific focus specialising in
transactions in real estate
financing, venture capital, business-to-business, graduate
financing, funeral financing, art
project financing, technological start-ups or consumer-to-
consumer loans for transactions such
as eBay purchases.7
Equity crowd-funding is similar to peer-to-peer lending in terms
of an online platform. Many
individuals can invest in a business through the platform,
gaining an equity stake. These
4 Robinson, D. (2013) ‘Naked Wines raises $10 million for
expansion into US and Australia’, Financial Times [Online]
Available at:
http://www.ft.com/cms/s/0/8ef3ecdc-0a6f-11e3-aeab-
00144feabdc0.html#axzz2gOGVQUUF [Accessed: 01.10.2013]
5 Pierrakis and Collins, 2013, p11
6 FSA (2012) crowd-funding: is your investment
protected?[Online] Available at:
www.fsa.gov.uk/consumerinformation/product_news/saving_inv
estments/ crowd-funding [Accessed: 01.10.2013]
7 Verstein, A. (2012), "Misregulation of Person to Person
Lending", Lecturer and Other Affiliate Scholarship Series,
Paper 8, Available
at: http://digitalcommons.law.yale.edu/ylas/8, p 456
http://www.ft.com/cms/s/0/8ef3ecdc-0a6f-11e3-aeab-
00144feabdc0.html#axzz2gOGVQUUF
http://www.fsa.gov.uk/consumerinformation/product_news/savi
ng_investments/crowdfunding
http://digitalcommons.law.yale.edu/ylas/8
10 | P a g e
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  • 5. Publication year: 2016 Publication date: Aug 22, 2016 Publisher: Normans Media Ltd Place of publication: Coventry Country of publication: United Kingdom, Coventry Publication subject: Communications Source type: Wire Feeds Language of publication: English Document type: News ProQuest document ID: 1812836413 Document URL: https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accou ntid=167104 Copyright: (Copyright M2 Communications, 2016) Last updated: 2016-08-22 Database: ProQuest Central https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104
  • 6. https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 https://search.proquest.com/info/termsAndConditions http://www.proquest.com/go/pqissupportcontactFree Crowdfunding Promotion Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * Chapter 2: Structure of Derivatives Markets The key to understanding derivatives is a deeper understanding of all that’s underlying. Morgan Stanley Dean Witter Advertisement in Derivatives Strategy, October 1997, p. 15 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed.
  • 7. Ch. 2: * Important Concepts in Chapter 2Types of derivativesOrigins and development of derivatives marketsExchange-listed derivatives tradingOver-the-counter derivatives tradingClearing and settlementMarket participantsTransaction costsTaxesRegulation of derivatives markets © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * Types of DerivativesOptionsForward contractsFutures contractsSwapsOther types of derivatives © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: *
  • 8. OptionsPremium – price paid to buy an optionCall – right to buyPut – right to sellExercise or strike price – fixed price to option buyer and buy (call) or sell (put)Expiration date – options have finite livesMoneyness – in-, at-, or out-of-the- moneyEuropean – exercise only on expiration dateAmerican – exercise anytime before or on expiration date © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Forward ContractForward contract is an obligation to engage in some transaction in the future, not a rightForward price – analogous to exercise priceInitial forward value is typically zeroForward price is the strike price where the call premium equals the put premiumCustomizable Counterparty default risk Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Futures ContractSimilar to forward contractStandardizedTransacted on organized exchangeClearinghouse acts as intermediaryLiquidityFutures price – price at which the underlying can be transacted at the
  • 9. expiration of the futures contractMargin accounts required Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. SwapsSwap is a commitment between two parties to do a series of transactions in the futureSimilar to forward contract, but involves multiple future transactionsSwaps can involve a variety of underlyingsInterest ratesEquityCurrencyCommodities Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Other Types of DerivativesEmbedded derivatives – when derivative is embedded in other assetsCallable bondsConvertible bondsOther instrumentsOptions on derivatives – option on swap, option on futuresCredit derivativesDefault option in bondsReal options – e.g., options embedded in projects Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
  • 10. An Introduction to Derivatives and Risk Management, 10th ed. Origins and Development of Derivatives MarketsAs old as stocks and bondsRice futures in Japan in 17th centuryChicago Board of Trade (CBOT) opened in 1848Evolution of commodity derivativesTo arrive contracts became known as futures contractsCommodity futures – wheat, corn, soybeans, goldChicago Butter and Egg Board opened in 1898 (now the CME Group) Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Evolution of Financial Derivatives1970 – fixed currency exchange rates endedForeign currency futures began trading at the CMEFinancial futures popularity rose1973 – pivotal yearFischer Black and Myron Scholes publish option modelRobert Merton publish rigorous foundations of modelCBOT spun off Chicago Board Options Exchange (CBOE)Many more derivatives markets were subsequently launched Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed.
  • 11. Development of the OTC MarketAllows for customizationOver the counter (OTC) originated as investors purchased securities literally “over the counter” at broker’s officesRegulations stemming from financial crisis of 2008-2009 are merging OTC and exchange traded products Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * Derivatives ExchangesLargest derivatives exchanges (see Table 2.1)Derivatives exchanges span the globeMore than 20 billion contracts traded on world derivatives exchanges. Figure 2.1 shows breakdown between options (9.4 billion) and futures (12.2 billion)Exchanges are often for-profit companiesExchange membership is often termed seats © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 12. Standardization of ContractsStandardization advantagesReduces costsImproves efficiencyDerivatives standardizationUnderlyingExpirationsOption exercise pricesContract sizesUnit of price quotation Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Various LimitsPosition limits – maximum number of contracts heldExercise limits – number of options that can be exercisedPrice limitsLimit up – maximum up move in underlying priceLimit down – maximum down move in underlying priceLimit move – price change that results in hitting limitLocked limit – market where trading has stopped due to a limit moveCircuit breakers – automatic trading halts Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Physical versus Electronic TradingPhysical trading was face-to- face in octagonal-shaped pitsLocation in pit had specific meaning regarding contract maturityPit trading termed open
  • 13. outcryOut-trade – discrepancy between traders caught by exchange processGLOBEX at CME pioneering electronic trading systemElectronic trading reduced out-trade frequency Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Mechanics of TradingTypes of ordersMarket orderLimit orderGood-till-canceled orderStop orderAll or none orderOpening or closing ordersOpening order – order for derivative in which no position is currently held (increases open interest)Closing order – order for derivatives that is opposite of a position previously taken (decreases open interest) Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Expiration and Exercise ProceduresOffsetting order simply passes the derivative to someone elseWith options, contracts can be exercisedAt expiration, physical delivery or cash settlement via assignmentExchange-for-physicals or against actuals – long and short agree on an alternative delivery procedure Chance/Brooks
  • 14. An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. OTC Derivatives TradingDealers – makes a market, quotes bid and ask pricesEnd-users – typically the one initiating the transactionTrading platform – electronic quotation system, such as swap execution facilitiesBilateral contract – two parties agree, each promising to do somethingISDA Master Agreement – standardized OTC contractNotional amounts and market valuesForeign Exchange/Interest Rate Forwards (Figure 2.2)Foreign Exchange/Interest Rate Swaps (Figure 2.3)Foreign Exchange/Interest Rate/Equity Options (Figure 2.4) Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Orders and ProceduresOTC early terminationOffset with original partyOffset with another partyBoth contracts remainFinancial risk offsetDefault risk remainsCash settlement common in OTC market Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed.
  • 15. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Clearing and SettlementRole of clearinghouseFutures transaction on derivatives exchange (see Figure 2.5) Options transaction on derivatives exchange (see Figure 2.6) Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Daily SettlementClearinghouse means of credit risk management is through margin deposit (or performance bond)Initial margin – amount deposited on day transaction openedMaintenance margin – amount that must be maintained every day thereafterSettlement price – average of last few trades of dayMarked to market – gains/losses charged daily, process called daily settlementMargin call – additional funds requiredVariation margin – additional funds deposited Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be
  • 16. scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Market ParticipantsMarket maker – quotes bid and ask pricesScalpers – hold positions for very short period of timeFloor broker (futures commission merchant) – execute orders for non-members of exchangeTraders – execute trades for themselves or their companyPosition traders – view drivenArbitrageurs – seek profits for misalignment of prices Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Transaction CostsFloor trading and clearing feesCommissionsBid-Ask SpreadsDelivery CostsOther Transaction CostsTaxes Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Regulation of Derivatives MarketsColorful history due to
  • 17. alignment with gamblingSEC, created in 1934, regulates securities and options on stocks as well as currenciesIn U.S., regulations originated in Department of AgricultureCommodities Futures Trading Commission created in 1974Dodd-Frank Wall Street Reform and Consumer Protection Act passed in 2010TransparencyMore multilateral clearingDisclosureReduce systemic risk Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. SummaryTypes of derivativesOrigins and development of derivatives marketsExchange-listed derivatives tradingOver-the- counter derivatives tradingClearing and settlementMarket participantsTransaction costsTaxesRegulation of derivatives markets Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: *
  • 18. (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: *
  • 19. (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 2: *
  • 20. (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Chapter 4: Option Pricing Models: The Binomial Model Options traders can get by with less math than you think. Tour de France cyclists don't need to know how to solve Newton's laws in order to bank around a curve. Indeed, thinking too much about physics while riding or playing tennis may prove a hindrance. But good traders do have to have the patience to understand the essential mechanism of replicating the factors they're trading. Emanuel Derman The Journal of Derivatives, Winter 2000, p. 62 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 21. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Important Concepts in Chapter 4The concept of an option pricing modelThe one- and two-period binomial option pricing modelsExplanation of the establishment and maintenance of a risk-free hedgeIllustration of how early exercise can be capturedThe extension of the binomial model to any number of time periodsAlternative specifications of the binomial model © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: *Definition of a modelA simplified representation of reality that uses certain inputs to produce an output or resultDefinition of an option pricing modelA mathematical formula that uses the factors that determine an option’s price as inputs to produce the theoretical fair value of an option. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 22. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial ModelConditions and assumptionsOne period, two outcomes (states)S = current stock priceu = 1 + return if stock goes upd = 1 + return if stock goes downr = risk- free rateValue of European call at expiration one period laterCu = Max(0, Su – X) orCd = Max(0, Sd – X)See Figure 4.1 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial Model (continued)Important point: d < 1 + r < u to prevent arbitrageWe construct a hedge portfolio of h shares of stock and one short call. Current value of portfolio:V = hS – CAt expiration the hedge portfolio will be worthVu = hSu – CuVd = hSd – CdIf we are hedged, these must be equal. Setting Vu = Vd and solving for h gives © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed.
  • 23. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial Model (continued)These values are all known so h is easily computedSince the portfolio is riskless, it should earn the risk-free rate. ThusV(1+r) = Vu (or Vd)Substituting for V and Vu(hS – C)(1 + r) = hSu – CuAnd the theoretical value of the option is © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial Model (continued)This is the theoretical value of the call as determined by the stock price, exercise price, risk-free rate, and up and down factors.The probabilities of the up and down moves were never specified. They are irrelevant to the option price. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible
  • 24. website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial Model (continued)An Illustrative ExampleS = 100, X = 100, u = 1.25, d = 0.80, r = 0.07First find the values of Cu, Cd, h, and p:Cu = Max(0, 100(1.25) – 100) = Max(0, 125 – 100) = 25Cd = Max(0, 100(0.80) – 100) = Max(0, 80 – 100) = 0h = (25 – 0)/(125 – 80) = 0.556p = (1.07 – 0.80)/(1.25 – 0.80) = 0.6Then insert into the formula for C: © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial Model (continued)A Hedged Portfolio
  • 25. Short 1,000 calls and long 1000h = 1000(0.556) = 556 shares. See Figure 4.2.Value of investment: V = 556($100) – 1,000($14.02) $41,580. (This is how much money you must put up.)Stock goes to $125Value of investment = 556($125) – 1,000($25) = $44,500Stock goes to $80Value of investment = 556($80) – 1,000($0) = $44,480 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * One-Period Binomial Model (continued) An Overpriced CallLet the call be selling for $15.00Your amount invested is 556($100) – 1,000($15.00) = $40,600You will still end up with $44,500, which is a 9.6% return.Everyone will take advantage of this, forcing the call price to fall to $14.02 You invested $41,580 and got back $44,500, a 7 % return, which is the risk-free rate. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible
  • 26. website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * An Underpriced CallLet the call be priced at $13Sell short 556 shares at $100 and buy 1,000 calls at $13. This will generate a cash inflow of $42,600.At expiration, you will end up paying out $44,500.This is like a loan in which you borrowed $42,600 and paid back $44,500, a rate of 4.46%, which beats the risk- free borrowing rate. One-Period Binomial Model (continued) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model We now let the stock go up another period so that it ends up
  • 27. Su2, Sud or Sd2.See Figure 4.3.The option expires after two periods with three possible values: © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: *After one period the call will have one period to go before expiration. Thus, it will worth either of the following two values The price of the call today will be Two-Period Binomial Model (continued) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 28. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)The hedge ratios are different in the different states: © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)An Illustrative ExampleSu2 = 100(1.25)2 = 156.25Sud = 100(1.25)(0.80) = 100Sd2 = 100(0.80)2 = 64The call option prices are as follows © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 29. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)The two values of the call at the end of the first period are © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)Therefore, the value of the call today is © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 30. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)A Hedge PortfolioSee Figure 4.4.Call trades at its theoretical value of $17.69.Hedge ratio today: h = (31.54 – 0.0)/(125 – 80) = 0.701SoBuy 701 shares at $100 for $70,100Sell 1,000 calls at $17.69 for $17,690Net investment: $52,410 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)A Hedge Portfolio (continued)Note each of the possibilities:Stock goes to 125, then 156.25Stock goes to 125, then to 100Stock goes to 80, then to 100Stock goes to 80, then to 64In each case, you wealth grows by 7% at the end of the first period. You then revise the mix of stock and calls by either buying or selling shares or options. Funds realized from selling are invested at 7% and funds necessary for buying are borrowed at 7%. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
  • 31. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)A Hedge Portfolio (continued)Your wealth then grows by 7% from the end of the first period to the end of the second.Conclusion: If the option is correctly priced and you maintain the appropriate mix of shares and calls as indicated by the hedge ratio, you earn a risk-free return over both periods. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Two-Period Binomial Model (continued)A Mispriced Call in the Two-Period WorldIf the call is underpriced, you buy it and short the stock, maintaining the correct hedge over both periods. You end up borrowing at less than the risk-free rate.If the call is overpriced, you sell it and buy the stock, maintaining the
  • 32. correct hedge over both periods. You end up lending at more than the risk-free rate.See Table 4.1 for summary. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial ModelPricing Put OptionsSame procedure as calls but use put payoff formula at expiration. In our example the put prices at expiration are © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)The two values of the put at the end of the
  • 33. first period are © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)Therefore, the value of the put today is © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)Let us hedge a long position in stock by purchasing puts. The hedge ratio formula is the same except that
  • 34. we ignore the negative sign: Thus, we shall buy 299 shares and 1,000 puts. This will cost $29,900 (299 x $100) + $5,030 (1,000 x $5.03) for a total of $34,930. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)Stock goes from 100 to 125. We now have299 shares at $125 + 1,000 puts at $0.0 = $37,375This is a 7% gain over $34,930. The new hedge ratio is Thus, sell 299 shares, receiving 299($125) = $37,375, which is invested in risk-free bonds. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 35. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)Stock goes from 100 to 80. We now have299 shares at $80 + 1,000 puts at $13.46 = $37,380This is a 7% gain over $34,930. The new hedge ratio is Thus, buy 701 shares, paying 701($80) = $56,080, by borrowing at the risk-free rate. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)Stock goes from 125 to 156.25. We now haveBond worth $37,375(1.07) = $39,991This is a 7% gain.Stock goes from 125 to 100. We now haveBond worth $37,375(1.07) = $39,991This is a 7% gain. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible
  • 36. website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Pricing Put Options (continued)Stock goes from 80 to 100. We now have1,000 shares worth $100 each, 1,000 puts worth $0 each, plus a loan in which we owe $56,080(1.07) = $60,006 for a total of $39,994, a 7% gainStock goes from 80 to 64. We now have1,000 shares worth $64 each, 1,000 puts worth $36 each, plus a loan in which we owe $56,080(1.07) = $60,006 for a total of $39,994, a 7% gain © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: *
  • 37. Extensions of the Binomial Model (continued)American Puts and Early ExerciseNow we must consider the possibility of exercising the put early. At time 1 the European put values werePu = 0.00 when the stock is at 125Pd = 13.46 when the stock is at 80When the stock is at 80, the put is in-the-money by $20 so exercise it early. Replace Pu = 13.46 with Pu = 20. The value of the put today is higher at © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early ExerciseOne way to 4.5 for example with a 10% yieldThe call prices at expiration are © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 38. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early Exercise (continued)The European call prices after one period are The European call value at time 0 is © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early Exercise (continued)If the call is American, when the stock is at 125, it pays a dividend of $12.50 and then falls to $112.50. We can exercise it, paying $100, and receive a stock worth $125. The stock goes ex-dividend, falling to $112.50 but we get the $12.50
  • 39. dividend. So at that point, the option is worth $25. We replace the binomial value of Cu = $22.78 with Cu = $25. At time 0 the value is © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early Exercise (continued)Alternatively, we can specify that the stock pays a specific dollar dividend at time 1. Assume $12. Unfortunately, the tree no longer recombines, as in Figure 4.6. We can still calculate the option value but the tree grows large very fast. See Figure 4.7.Because of the reduction in the number of computations, trees that recombine are preferred over trees that do not recombine. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed.
  • 40. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early Exercise (continued)Yet another alternative (and preferred) specification is to subtract the present value of the dividends from the stock price (as we did in Chapter 3) and let the adjusted stock price follow the binomial up and down factors. For this problem, see Figure 4.8.The tree now recombines and we can easily calculate the option values following the same procedure as before. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early Exercise (continued)The option prices at expiration are
  • 41. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Dividends, European Calls, American Calls, and Early Exercise (continued)At time 1 the option prices are We exercise at time 1 so that Cu is now 22.99. At time 0 The European option value would be 12.18. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 42. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Foreign Currency OptionsUnderlying instrument is currencyHolding of foreign currency can earn the foreign risk-free interest rateThe binomial probability is altered to adjust for the foreign risk-free interest rate effectThe binomial probability is © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Extending the Binomial Model to n PeriodsWith n periods to go, the binomial model can be easily extended. There is a long and somewhat complex looking formula in the book. The basic procedure, however, is the same. See Figure 4.9 in which we see below the stock prices the prices of European and American puts. This illustrates the early exercise possibilities for American puts, which can occur in multiple time periods.At each step, we must check for early exercise by comparing the value if exercised to the value if not exercised and use the higher value of the two. © 2015 Cengage Learning. All Rights Reserved. May not be
  • 43. scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)Behavior of the Binomial Model for Large n and a Fixed Option LifeThe risk- free rate is adjusted to (1 + r)T/n–1The up and down parameters are adjusted to with one period. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: *
  • 44. Extensions of the Binomial Model (continued)The Behavior of the Binomial Model for Large n and a Fixed Option Life (continued)The parameters are now The new stock prices areSu = 125.9375(1.293087) = 162.8481Sd = 125.9375(0.773343) = 97.3929 © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)The Behavior of the Binomial Model for Large n and a Fixed Option Life (continued)The new option prices would be Cu = Max(0, 162.8481–125) = 37.85 Cd = Max(0 ,97.3929 – 125) = 0.0p would be (1.004285 – 0.773343)/(1.293087 – 0.773343) = 0.444; 1 – p = 0.556.The price of the option at time 0 is, therefore, © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed.
  • 45. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial Model (continued)The Behavior of the Binomial Model for Large n and a Fixed Option Life (continued)The actual price of the option is 13.50, but obviously one binomial period is not enough.Table 4.2 shows what happens as we increase the number of binomial periods. The price converges to around 13.56. In Chapter 5, we shall see that this is approximately the Black-Scholes-Merton price. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial ModelAlternative Specifications of the Binomial ModelWe can use a different specification of u, d and p
  • 46. where ln(1 + r) is the continuously compounded interest rate. Here p will converge to 0.5 as n increases. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial ModelAlternative Specifications of the Binomial Model (continued)Now let us price the DCRB June 125 call but use two periods. We have r = (1.0456)0.0959/2 – 1 = 0.0021. Using our previous formulas, © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. *
  • 47. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Extensions of the Binomial ModelAlternative Specifications of the Binomial Model (continued)Now let us use these new formulas: We can use 0.5 for p. See Figure 4.10. The prices are close and will converge when n is large.See BlackScholesMertonBinomial10e.xlsm for software to calculate the binomial model. © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * Summary © 2015 Cengage Learning. All Rights Reserved. May not be
  • 48. scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. * Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed.
  • 49. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed.
  • 50. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed.
  • 51. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. Chance/Brooks An Introduction to Derivatives and Risk Management, 10th ed.
  • 52. Ch. 4: * (Return to text slide) © 2015 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part. An Introduction to Derivatives and Risk Management, 10th ed. d) - d)/(u - r (1 = p where r 1 p)C (1 pC C d u + + - + = 14.02 1.07 0.0 ) .4 0 (
  • 71. ABSTRACT CrowdFunding is a team work! Twitter, Facebook, Press Releases, Blogs and web Communities Leverage with power of Google and promote with its proven results! focused on kickstarter crowdfunding, crowdfunding sites, business crowdfunding ,indiegogo crowdfunding, indiegogo, crowdfunding websites, uk crowdfunding, business , games crowdfunding, film crowdfunding, Crowd funding , crowdfunding sites, CrowdFunding, Crowd funding, Startups Featured crowdfunding 2016 crowdsourcing.org crowdsourcing Kickstarter Indiegogo Campaign funding Video 2016 game Project Movie Crowdfunding Trailer crowdfunding. FULL TEXT M2 PRESSWIRE-August 22, 2016-Free Crowdfunding Promotion (C)2016 M2 COMMUNICATIONS http://www.m2.com August 22, 2016 Are You Drawing A Crowd* Ask Yourself How Can I Add More Backers and Investors? FREE Promotion ~ Promote your Campaign Business Idea
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  • 73. Because we believe CrowdFunding is Creator's Economy which can solve many of the current issues in both the business and social world... Discover the advantage &power of working with the World's largest CrowdFunding Consulting, Multi-Media &it's Web Communities leveraging Google &promoting with proven results. CrowdFunding is a team work! Twitter, Facebook, Press Releases, Blogs and web Communities Leverage with power of Google and promote with its proven results! focused on kickstarter crowdfunding, crowdfunding sites, business crowdfunding ,indiegogo crowdfunding, indiegogo, crowdfunding websites, uk crowdfunding, business , games crowdfunding, film crowdfunding, Crowd funding , crowdfunding sites, CrowdFunding, Crowd funding, Startups Featured crowdfunding 2016 crowdsourcing.org crowdsourcing Kickstarter Indiegogo Campaign funding Video 2016 game Project Movie Crowdfunding Trailer crowdfunding. FREE CrowdFunding Promotion for a limited time available at http://crowdfundingexposure.com/free- https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 https://prx-
  • 74. herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 crowdfunding-promotion-promote-my-crowdfunding-campaign- for-free/ FREE source on Facebook at at https://www.facebook.com/groups/CrowdFundingExposure/ ((Comments on this story may be sent to [email protected])) DETAILS Terms and Conditions Contact ProQuest Publication title: M2 Presswire; Coventry Publication year: 2016 Publication date: Aug 22, 2016 Publisher: Normans Media Ltd Place of publication: Coventry Country of publication: United Kingdom, Coventry Publication subject: Communications Source type: Wire Feeds
  • 75. Language of publication: English Document type: News ProQuest document ID: 1812836413 Document URL: https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accou ntid=167104 Copyright: (Copyright M2 Communications, 2016) Last updated: 2016-08-22 Database: ProQuest Central https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 https://prx- herzing.lirn.net/login?url=https://search.proquest.com/docview/ 1812836413?accountid=167104 https://search.proquest.com/info/termsAndConditions http://www.proquest.com/go/pqissupportcontactFree Crowdfunding Promotion Running Head: CROWDFUNDING 1 CROWDFUNDING 8
  • 76. Crowdfunding Crowdfunding can be regarded as a new method used in raising funds. The method is growing promptly around the universe. Globally, the method, crowdfunding platforms, was used to raise more than US$16B in 2014 while in 2015 more than US$32 B was raised. Crowdfunding is the way or process in which a lot of individuals regarded as the crowd contribute comparatively small amounts in terms of money with intentions to support businesses or projects. The crowdfunding is grouped into three ways which include rewards, debt, and equity crowdfunding generally. However, how much the method is useful to businesses and projects, it has not gained popularity amongst individuals worldwide. The biggest challenge to this that even people who are aware of it are not willing to learn how the term works. Most entrepreneurs do not appreciate it. In
  • 77. order for the crowding funding to grow, education is very vital. Particularly markets in the Middle East because the concept is novel compared to European and US markets. Keywords: Crowdfunding, Rewards, Debt, Equity, Education Crowdfunding is a term for describing the use of small amounts of money obtain from a great number of individuals and organizations to fund a project. Crowdfunding permits authors of for-profit generation, masterful, and social dares to finance their endeavors by drawing on moderately little commitments from a generally expansive number of people utilizing the web, without standard money related go-betweens. Crowdfunding has four subcategories such as donation crowdfunding, reward crowdfunding, peer-to-peer lending and equity crowdfunding. Crowdfunding tasks can go incredibly in both objective and size, from little aesthetic activities to business people looking for a huge number of dollars in seed capital as a contrasting option to conventional funding venture. Though equity crowdfunding gives ventures the chance to collect capital from a huge base of financiers, many campaigns sometimes tend to be unsuccessful (Kuppuswamy and Bayus, 2016). Lukkarinen et al. (2016), carried out a research to find out the factors which contribute to the success of Crowdfunding project. The authors drew their research using equity and reward-based crowdfunding which is most used by entrepreneurs. Utilizing data from North Europe, from one of the leading platforms which facilitates crowdfunding, they explored factors which drove investors as well as the amount gotten from the equity crowdfunding promotions. The authors found out that besides some crowdfunding projects being successful, there are also other projects which are not successful and make a huge amount of losses. The results indicated that success of crowdfunding campaigns related to pre-identified crowdfunding campaign features as well as both public and private networks’ utilization. In a study conducted by Kuppuswamy and Bayus (2016), to determine if someone’ contribution to someone else
  • 78. crowdfunding project matter? They considered the crowdfunding dynamics for project support for a given time. They proposed that individuals support crowdfunding project financially if they are assured that their support and involvement will result in an impact. Since perceptions of influence are positively connected to the objective proximity, they predicted that project support using crowdfunding increases when the project funding heads to its target aim. Furthermore, since motivation reduces after the objective is reached, they further predicted that crowdfunding helps significantly decrease when target objective is attained. They found the above with strong reference for hypotheses gotten from the study of Kickstarter. Davis et al. (2017), carried research to determine whether there is a customers’ perception of a product and its crowdfunding. They drew their study on the effective events theory. The research concerned funders' perceptions, as well as the expectation alignment in products with their presenters. They tested their hypotheses relationships which were drawn from a sample which included 102 participants. The participants assessed ten different kinds of product pitches made which were made by ten different entrepreneurs. The results indicated that crowdfunding is positively related to product creativity, either direct or indirect. The indirect effect in contingent to the extent of funders’ perception on the entrepreneurs whether he/she is passionate or not, i.e., the perceived entrepreneurial, passionate upsurges positive nature for the indirect effect. Zao et al. (2016) researched to find out the Determinants of backers’ funding intention in crowdfunding because the success of crowdfunding projects had become less than 50%. They considered that project components found in most platforms should attract visitors’ as well increasing achievement of goals for fundraising. Utilizing the social exchange theory for the intentions of funding which influenced backers, the study examined key factors. 204 backers were involved in the research. The204 backers were involved in the study. The
  • 79. results indicated to be a relationship between the fundraising intentions and the commitment. However, how much the method is useful to businesses and projects, it has not gained popularity amongst individuals worldwide. The biggest challenge to this is that even people who are aware of it are not willing to learn how the term works. Most entrepreneurs do not appreciate it. In order for the crowding funding to grow, education is very vital. Particularly markets in the Middle East because the concept is novel compared to European and US markets. Studies have been done worldwide to relate the success of crowdfunding projects and peoples’ awareness. The finding has been mixed up, indicating several factors which result in its success. However, these factors do not indicate if the success is directly attributable to the education of crowdfunding to people. The people fail to know crowdfunding well has resulted in many projects failing. It is in this line of the above arguments that this study, therefore, intends to establish and understand if education can make people get familiar with crowdfunding which can result in its growth. So the research question would be; is there a relationship between the success of crowdfunding and people’ familiarity with education? Crowdfunding refers to as a process by which a project or a venture is funded by raising many little amounts of capital by a large group of people through the internet. Its platforms are websites which allow to set up an online fundraising campaign and receive money from individuals. It is a combination of crowdsourcing, a practice of engaging a group of people for a common goal especially innovation, and micro-financing. The entire act is made possible by three groups of people namely the project initiator, a person who gives out an idea about the project and how the money will be contributed, individuals or groups who second the initiator's idea and lastly a moderating organization that gathers the two parties to launch the concept. Undoubtedly, the crowding process has grown significantly in recent years helping individuals who have business ideas but
  • 80. lack capital to be funded. However, global business analysts still consider the process to be in its early stage of development because many people globally have not embraced the method of project funding. 1. Donation Crowdfunding This type of crowdfunding is a way to fund money for a project by asking individuals or large numbers of generous donors online. Donations based crowdfunding usually run on a charity basis and not for profit. Donators see their rewards in the form of happiness because their money is being used for a great cause. 2. Reward-based crowdfunding This is a type of crowdfunding where the individuals taking part in an initiated project contribute a certain agreed amount of money for a reward. Most of the time, the token is usually the commodity being produced. There are two leading platforms of overcrowding that are reward-based namely the Kickstarter and Indiegogo. It is believed that the reward based technique is more rewarding than the other categories for it focuses more on the act of only donating to come up with the money required to run the project. This implies that one does not have to seek funds from other sources for there is no fixed amount of money a backer is required to contribute sparing him from the risks that might be associated with taking bank loans. 3. Peer to peer lending This is a category of crowdfunding entails the process whereby a peer to peer lending sites links borrowers with possible investors via the internet. The peer to peer lending sites ensures they have all the relevant details about a borrower to avoid circumstance of cons taking advantage. The lending services also act as an intermediary of the interest rates to be paid by a borrower. This method of raising capital to run an errand has benefits; for instance, an investor can get substantial returns of interest as compared to if he took his money in the bank. 4. Equity Crowdfunding This type of crowdfunding is similar to peer-to-peer lending
  • 81. regarding an online platform. Individuals can invest in a business through the platform and gain equity stake. These businesses are early stage small start-ups with no other access to funding. Once the online platform completes the equity raising, then the crowd investors hold equity stakes in the firm. However, these businesses are riskier as an investment. Success is a process of achieving set goals. Many people are not familiar with crowdfunding, such that they need education about it. However, how much the crowdfunding is useful to businesses and projects, it has not gained popularity amongst individuals worldwide. The biggest challenge to this is that even people who are aware of it are not willing to learn how the term works. Most entrepreneurs do not appreciate it. In order for the crowding funding to grow, education is very vital. Particularly markets in the Middle East because the concept is novel compared to European and US markets. This study is significant to the following groups of people: scholars, the government of different nations, policymakers, investors and the corporate bodies. There is a need for the general public to know and understand well what crowdfunding is before investing their funds to those projects being backed by the crowdfunding. Through the study, they will be able to understand it well. Investors will also understand the reason why some of their projects fail upon being initiated. For scholarly purposes, this study contributes to this discussion through finding the relationship between education of people and success of crowdfunding. Future researchers can use the findings of this study to further arguments on the knowledge of people vs. the crowdfunding growth or on other topics that find this study relevant. Crowdfunding success on projects depends on various factors including people aware of what the crowdfunding what it is. Education plays a vital role in informing the public what it is and what intentions are projects are up to. Education for the above can be carried out through the Social Media as well as in
  • 82. school classes. Molick (2013), suggests that through personal networks as well as the underlying project quality results in the success of projects using crowdfunding efforts. Notwithstanding, over a huge amount of money regarding billion dollars used by a vast number of individual crowdfunding sponsor an extensive scale activity by US Congress to empower crowdfunding as a wellspring of capital for new pursuits. Even essential education or scholastic information of the elements of crowdfunding is missing, outside of the still-unprecedented examination of specific crowdfunding endeavors Butticè, Colombo, & Wright, 2017). For instance, researchers know next to none about the flow of effective crowdfunding, and also the general appropriation and utilization of crowdfunding components. No information to show in the case of crowdfunding endeavors fortify or negate existing hypotheses about how ventures raise capital and make progress. There is additionally vulnerability about the long haul ramifications of crowdfunding, for example, in the case of existing activities eventually convey the items they guarantee. To put it plainly, this vital and developing region of entrepreneurial movement and government activity is understudied, even as both practice and strategy keep on rapidly progress. People should be educated all that is concerning the above. There are various forms and benefits of crowdfunding which people should be educated to know more about them so that they can take advantage of them. They can be educated on the wide variety of benefits such as in a donation-based crowdfunding technique which can help one to get a Nobel price is where one comes up with the idea of raising money for a charitable cause. Examples are educating the girl child on ways to avoid getting pregnant before finishing school, conserving the energy, helping the orphans or the elderly in the society among others. The person can be shortlisted for the Nobel award because of his actions that purposes to make the world a better place. Donation based has an advantage of enabling one
  • 83. to raise money for his project that is non-profitable through internet sites, for example, Milaap. This makes it more cost- effective as compared to the traditional way of raising money for a charitable cause that required one to use television or radio stations to advertise (Davis et al., 2017). Moreover, the new method of raising fund for charity projects saves one the process of booking space for his advertisement on air. Pirkle (2015), indicates that many people are not aware of the crowdfunding as a way of funding their projects. They have been constraining to growth by banks because they have only known them as sources of funds. However, these entrepreneurs are open to other options to fund their business such as crowdfunding. The author further indicates that there is little knowledge held by the public concerning the crowdfunding, and even those who know about it are not well informed of how it works. Pirkle further suggests that governments and other bodies should come up with ways of educating the people on the usefulness of crowdfunding. He indicates that crowdfunding can be used for various purposes to support charities. He further states that the traditional forms of banking are not viable since they cannot help acquire enough capitals. For Eureeca, with the education of financial specialists (investors) and entrepreneurs about the crowdfunding – how it operates, why it's useful, how your venture can be arranged for a startup –essential challenge. Business people, for instance, are furnished with formats, go-to-showcase methodologies, and promoting playbooks. They likewise reach several classes and workshops for getting ready organizations for the stage. Financial specialists are additionally focused on such measures so as to influence the crowd investing in processing not so much befuddling but rather more engaging (Pirkle, 2015). In conclusion, I would indicate that Crowdfunding can make it possible for large crowds of people to fund their innovative projects. The kind of funding can tap much wisdom of crowds who were previously not connected it. Countries, States, Nations and other groups should come with ways to educate the
  • 84. people on how to appreciate the crowdfunding which can improve finances of their projects. I would recommend the Success of projects initiated through crowdfunding can only be successful if all parties involved are well informed through education. References Butticè, V., Colombo, M. G., & Wright, M. (2017). Serial crowdfunding, social capital, and project success. Entrepreneurship Theory and Practice, 41(2), 183-207. Davis, B., Hmieleski, K., Webb, J., & Coombs, J. (2017). Funders’ positive affective reactions to entrepreneurs’ crowdfunding pitches. The influence of perceived product creativity and entrepreneurial passion. Journal of Business Venturing, 32 (1), 90-106. Kuppuswamy, V., & Bayus, B. (2017). Does my contribution to your crowdfunding project matter?. Journal of Business Venturing, 32 (1), 72-89. Retrieved from https://www.sciencedirect.com/science/article/pii/S0883902616 302075 Lu, L., & Fulk, J. (2017, January). Exploring Crowdfunding Projects’ Success through Social Embeddedness and Knowledge Exchange Process. In Academy of Management Proceedings (Vol. 2017, No. 1, p. 15917). Academy of Management. Lukkarinen, A., Teich, J., Wallenius, H., & Wallenius, J. (2016). Success drivers of online equity crowdfunding campaigns. Decision Support Systems, 87, 26-38. Retrieved from https://www.sciencedirect.com/science/article/pii/S0167923616 300598
  • 85. Mollick, E. (2014). The dynamics of crowdfunding: An exploratory study. Journal of Business Venturing, Retrieved from https://www.sciencedirect.com/science/article/pii/S0883902613 00058X Pirkle, H. (2015). Crowdfunding platforms see education as the key to growth. Retrieved from https://www.wamda.com/2015/02/education-key-to- crowdfunding-success Zhao, Q., Chen, C., Wang, J. & Chen, P. (2016). Determinants of backers’ funding intention in crowdfunding: Social exchange theory and regulatory focus. Retrieved fromhttps://www.sciencedirect.com/science/article/pii/S073658 5316300582 1 | P a g e 1 The authors are a Research Intern and Senior Economist at IOSCO. They thank those who participated in industry roundtables and conference calls for their open and frank views on this subject. Additionally they would like to thank IOSCO members for their contribution in helping to craft certain sections of this report. Crowd-funding: An Infant
  • 86. Industry Growing Fast Staff Working Paper of the IOSCO Research Department Authors: Eleanor Kirby and Shane Worner 1 This Staff Working Paper should not be reported as representing the views of IOSCO. The views and opinions expressed in this Staff Working Paper are those of the authors and do not necessarily reflect the views of the International Organisation of Securities Commissions or its members. For further information please contact: [email protected] Staff Working Paper: [SWP3/2014] 2 | P a g e About this Document
  • 87. The IOSCO Research Department is conducting research and analysis around IOSCO Principles 6 (on systemic risk) and 7 (reviewing the perimeter of regulation). To support these efforts, the IOSCO Research Department is undertaking a number of information gathering exercises including extensive market intelligence in financial centres; risk roundtables with prominent members of industry and regulators; data gathering and analysis; the construction of quantitative risk indicators; a survey on emerging risks to regulators, academics and market participants; and review of the current literature on risks by experts. This holistic approach to risk identification is important in order to capture those potential risks that may not be apparent in the available data (i.e. not necessarily quantifiable), or which may be currently seen as outside the perimeter of securities market regulation, but nonetheless significant. Two potential areas of financial innovation that have seen strong growth in recent years are peer-to-peer lending and equity crowd-funding. These industries affect a number of key global initiatives outlined by IOSCO and the G20. These include the diversification and broadening of markets; mechanisms aiding in the long-term financing of the real economy; and the promotion of wider stability within the financial system. As a first step towards engaging with this issue, the IOSCO Research Department, has
  • 88. undertaken a review of these practices and how they might relate to IOSCO, its members and their regulatory remit and the wider real economy. This IOSCO Staff Working Paper “Crowd- funding: An Infant Industry Growing Fast” presents a review of financial return crowd-funding, as well as key insights on the main implications for users. It is the first publication of its kind in tying together a global overview of the industry along with a mapping exercise of the global regulatory landscape. 3 | P a g e Table of contents Executive Summary ............................................................................................... ........................ 4 Introduction ............................................................................................... ................................... 8 Chapter 1: Nature of the industries ............................................................................................ 12
  • 89. Chapter 2: Benefits and Risks of Financial Return crowd- funding .............................................. 21 Chapter 3: Current regulatory regimes and trends ..................................................................... 29 Chapter 4: Analysis of potential systemic risks and investor protection concerns .................... 33 Chapter 5: Crowdfunding in the context of the IOSCO Objectives and Principles ...................... 47 Chapter 6: Conclusions and next steps ....................................................................................... 50 Annex 1: Regulatory practices by country .................................................................................. 52 Annex 2: List of figures and tables .............................................................................................. 63 4 | P a g e Executive Summary Introduction • Crowd-funding is an umbrella term describing the use of small amounts of money,
  • 90. obtained from a large number of individuals or organisations, to fund a project, a business or personal loan, and other needs through an online web-based platform. • Crowd-funding has four subcategories: Donation crowd- funding, reward crowd- funding, peer-to-peer lending and equity crowd-funding. This document is a factual report analysing peer-to-peer lending and equity crowd- funding, being forms of market-based finance that are collectively referred to as “financial return crowd- funding” or “FR crowd-funding”. • The online nature and the usually small size of investments of FR crowd-funding makes this industry different from private placement or other similar activities. Nature of financial return crowd-funding • FR crowd-funding globally has grown rapidly in the last 5 years, with data suggesting that the peer-to-peer lending market doubles each year. It accounts for approximately $6.4 billion outstanding globally. • FR crowd-funding market is worth over $1 billion in the USA, the UK and China, and is taking off in many other jurisdictions across the world. • FR crowd-funding has three main business models: the client segregated account model, the notary model and the equity crowd-funding model. The major difference
  • 91. between the two peer-to-peer lending models, the client segregated account model and the notary model, is that in the latter a bank originates the loan unlike the former where the platform originates the loan. The third model, equity crowd-funding, is different from peer-to-peer lending as it allocates stock equity to investors, with the financial return coming in the form of dividends and/or capital growth. Key benefits • The primary benefit of FR crowd-funding to entrepreneurs seeking to raise funds as a form of market-based finance is the ability to raise capital, in most cases without giving up large parcels of equity interest. • FR crowd-funding spreads risk – the majority of investors are individuals (although some institutional investors are beginning to enter the market) with funding requests filled in much smaller incremental amounts. • Another benefit is the lower cost of capital and higher returns to investors – crowd- funding provides a low cost alternative to channelling savings to the real economy, usually at rates lower than those attainable through traditional funding avenues. Additionally, venture and seed capital requests are difficult to access in the current economic environment. Crowd-funding alternatives provide an affordable and attainable option for raising capital.
  • 92. 5 | P a g e • FR crowd-funding can help economic recovery by financing small and medium enterprises (SMEs) which are a key engine of economic growth. Helping those entities more efficiently access capital for their development and expansion can contribute to job creation and economic recovery. Key risks • Risk of default: In equity crowd-funding the risk of default/investment failure is estimated to be around 50%. In peer-to-peer lending there has been a concerted effort by the industry to reduce default rates, which reached a high of 30% in 2009. While there has been some success in reducing the default rate, the actual rate of default in many cases is unknown as many of the platforms have only opened in the last three years and the loans originated by them have only recently started to mature. • Risk of platform closure/failure: Despite the short life of crowd-funding, there has already been a case of a peer-to-peer lending platform closing leaving no data on contracts behind and resulting in 100% investment loss. Investors bear a higher risk than in many other types of investments.
  • 93. • Risk of fraud: This is compounded in both peer-to-peer lending and equity crowd- funding by the anonymity created by the online aspect of these industries. This is the case for both the lender/investor and borrower/issuer parties, whereby the opportunity to defraud is an ever present reality. • Risk of illiquidity: Investors cannot sell their participations as there doesn´t exist a secondary market. This lack of liquidity in FR crowd-funding could be a risk for investors if they are not aware of this. • Risk of cyber-attack: The online nature of FR crowd-funding makes FR-crowd funding vulnerable to the risk of cyber-attacks. • Lack of transparency and disclosure of risks: Risks tend not to be disclosed until a lender/investor becomes a member of the platform. Regulatory regimes • The regulatory regimes are dependent on jurisdictional choices in regulation. • There currently is no cross-jurisdictional harmonisation in the regulation of these industries. Peer-to-peer lending is regulated in five different ways. These are: 1. Exempt/ unregulated through lack of definition 2. Platforms regulated as an intermediary
  • 94. 3. Platforms regulated as a bank 4. The US model: there are two levels of regulation, Federal regulation through the Securities and Exchange Commission (SEC) and state level, where platforms have to apply on a state-by-state basis. 5. Prohibited 6 | P a g e Equity crowd-funding is regulated under three main regimes. These are: 1. Regulation that prohibits equity crowd-funding completely. 2. Equity crowd-funding is legal but the regulation of the industry creates high barriers to entry 3. Regulation may allow the industry to exist, but with strict limits • One approach to the regulation of FR crowd-funding by some jurisdictions looks to designate the markets as exempt or to lighten the regulations around the issuance of shares through equity crowd-funding in order to promote SME growth. Analysis of potential systemic risks and investor protection concerns • Drawing on the past work of the IOSCO Research Department
  • 95. peer-to-peer lending and equity crowd-funding is analysed to establish if they pose a systemic risk. The main conclusion at the time of writing is that the industries do not pose systemic risk yet. The following impact factors are relevant in this analysis. • Size: The peer-to-peer lending market is very small, accounting for only a fraction of all credit provided to the real economy. However, it is an industry that is almost doubling each year in size. This means that even though the current market size is too small to cause systemic risk, it has the potential to grow to a sizeable market in a short amount of time. • Liquidity: There is a lack of liquidity in peer-to-peer lending, with relatively few platforms providing a secondary market on which to sell loan portfolios. Equity crowd- funding has even less liquidity as there is no secondary market for shares in start-ups due to the inability to accurately judge the value of the equity shares. This is a problem for investors who want to liquidate positions. • Cross-border activities and implications: A few platforms have chosen to open their business to other nationals, introducing cross border complexities. Questions are yet to be answered in regards to contract law enforcement across jurisdictions. Further in- depth work is required to understand the legal implications of cross-border
  • 96. operations. Therefore, cross border complexities could become a source of systemic risk in the future. • Interconnectedness through securitisation practices and bank involvement: There have been recent examples of the securitisation of peer-to-peer unsecured loans. This opens the market to new investment, but also opens the rest of the financial market to exposure to packaged loans which are predominately unsecured in nature. Since this segment of the market is extremely small, it is not currently a source of systemic risk. In conclusion, the FR crowd-funding market does not present systemic risk to the financial system at present. However, rapid future growth of the market could change this. There is also a concern for investor protection raised by these financial activities. 7 | P a g e The application of the IOSCO Objectives and Principles • IOSCO’s Objectives and Principles of Securities Regulation provide a good regulatory foundation for peer-to-peer lending and equity crowd-funding. Next Steps: • Although no currently a systemic risk, these markets do pose problems for investor
  • 97. protection which need to be addressed. • Further monitoring and research is required. There is a need for further research, inter alia, in developing indicators based on hard data. • In order to exploit the benefits of FR crowd-funding while mitigating its risks a balanced regulatory approach will be required. The balance will need to be established by each regulator as it depends on political choices and the regulatory regime, which varies across the globe. • At the same time there might be a need for the international harmonisation of regulatory requirements given the possible cross-border nature of the FR crowd- funding market. IOSCO is well positioned to examine the need for global principles or standards in this area. 8 | P a g e Introduction Crowd-funding is an umbrella term describing the use of small amounts of money, obtained from a large number of individuals or organisations, to fund a project, a business or personal loan, and other needs through an online web-based platform.
  • 98. Peer-to-peer lending is a form of crowd-funding used to fund loans which are paid back with interest. Equity crowd-funding is the raising of capital through the issuance of stock to a number of individual investors using the same method as crowd-funding. Peer-to-peer lending and equity crowd-funding platforms are of particular interest to IOSCO and its members because they are growing rapidly and are accessible easily to both retail and sophisticated investors alike. Various IOSCO members have recently published or are in the process of publishing guidelines, policies or reviews on developments in their jurisdictions. Peer-to-peer lending and equity crowd-funding have also drawn the attention of governments who wish to encourage the growth of small and medium enterprises (SMEs), which has led some governments to actively seek to lend money through these platforms, or implement regulatory changes through the use of exemptions or regulation reviews of these markets. Types of crowd-funding2 Crowd-funding can be divided into four categories: social lending/donation crowd-funding, reward crowd-funding, peer-to-peer lending and equity crowd- funding.3 This is shown in Figure 1. Figure 1: The various forms of crowd-funding activities
  • 99. Source: IOSCO Research Department 2 Crowd-funding should not be confused with micro-financing (for example, such as the Grameen Bank style of micro- lending). Microfinancing is predominately a bank based exercise, whereby the bank is the sole provider of the loan, is the originator of the loan and bears the risk of the loan. As such, it does not draw on the principles of many investors funding small parts of a required capital need. 3 Pierrakis, Y and Collins, L (2013) Nesta…Banking on Each Other: peer-to-peer lending to business: evidence from Funding Circle, [pdf] Available at: http://www.nesta.org.uk/library/documents/Peer-to-peer- lending-report.pdf, p11 Crowd-funding Social Lending/Donation Crowd-funding Reward Crowd- funding Peer-to-Peer Lending Equity Crowd- funding
  • 100. Financial Return Crowd-funding (FR Crowd-funding) Community Crowd-funding http://www.nesta.org.uk/library/documents/Peer-to-peer- lending-report.pdf 9 | P a g e Social lending/donation crowd-funding and reward crowd- funding are a way of fundraising for charitable causes, for example through angel investors, or pre- paying for a product from a business, for example NakedWines.com.4 These two categories of crowd-funding can be collectively referred to as “community crowd-funding” (see Figure 1). The main difference between these forms of crowd-funding and the other two that are the subject of this report is that they do not provide any financial return in the form of a yield or return on investment.5 Consequently, peer-to-peer lending and equity crowd-funding can be referred to collectively as “financial return crowd-funding” or “FR crowd-funding”. Both types of FR crowd-funding are internet based. This paper focuses on peer-to-peer lending and equity crowd-funding due to the clear securities market implications and regulatory remit of IOSCO members. It is important to note the existence of the different subcategories of crowd-funding, and not to
  • 101. take crowd-funding as being synonymous with either peer-to- peer lending or equity crowd- funding only. Lack of such precision in legal documents could lead to complications in the implementation of rules by participants. Peer-to-peer lending can be defined as the use of an online platform that matches lenders/investors with borrowers/issuers in order to provide unsecured loans. This particular form of crowd-based financing makes up the bulk of the FR crowd-funding market considered here. The borrower can either be an individual or a business requiring a loan. It is characterised by the ability of lenders to provide money for small fragments of the overall loan required by a borrower; these are called “loan parts” and can be as small as £10.6 These loan parts are then aggregated by the online platform and when there is enough to cover the required loan, the loan is originated and paid to the borrower. The interest rate is set by the platform. The borrower then pays back the loan with interest. This interest rate is usually higher than the savings rates available to the lender but lower than a traditional loan available to the borrower, though this depends on the borrower’s evaluated risk. The interest is paid to the lender until one of the following occurs: the loan matures; the borrower pays it back early or the borrower defaults. Smaller peer-to-peer lending platforms also cater to niche markets. These include, though are not limited to, platforms with a specific focus specialising in transactions in real estate
  • 102. financing, venture capital, business-to-business, graduate financing, funeral financing, art project financing, technological start-ups or consumer-to- consumer loans for transactions such as eBay purchases.7 Equity crowd-funding is similar to peer-to-peer lending in terms of an online platform. Many individuals can invest in a business through the platform, gaining an equity stake. These 4 Robinson, D. (2013) ‘Naked Wines raises $10 million for expansion into US and Australia’, Financial Times [Online] Available at: http://www.ft.com/cms/s/0/8ef3ecdc-0a6f-11e3-aeab- 00144feabdc0.html#axzz2gOGVQUUF [Accessed: 01.10.2013] 5 Pierrakis and Collins, 2013, p11 6 FSA (2012) crowd-funding: is your investment protected?[Online] Available at: www.fsa.gov.uk/consumerinformation/product_news/saving_inv estments/ crowd-funding [Accessed: 01.10.2013] 7 Verstein, A. (2012), "Misregulation of Person to Person Lending", Lecturer and Other Affiliate Scholarship Series, Paper 8, Available at: http://digitalcommons.law.yale.edu/ylas/8, p 456 http://www.ft.com/cms/s/0/8ef3ecdc-0a6f-11e3-aeab- 00144feabdc0.html#axzz2gOGVQUUF http://www.fsa.gov.uk/consumerinformation/product_news/savi ng_investments/crowdfunding http://digitalcommons.law.yale.edu/ylas/8 10 | P a g e