McGraw-Hill/Irwin Copyright © 2012 by The McGraw-Hill Companies, Inc. All rights reserved.
Chapter Ten
Derivative
Securities Markets
10-2
Derivatives
 A derivative is a contract between two parties whose value is
based on some underlying asset price or condition
 In a derivative, two parties agree to exchange a standard
quantity of an asset at a predetermined price at a specific
date in the future
10-3
Derivatives’ Uses
 Derivatives are leveraged instruments where participants
put up a small amount of money and obtain the gain or loss
on a much larger position
 Derivatives are used for speculation and for hedging
 Speculation
Buying or selling a derivative contract in order to earn a
leveraged rate of return
 Hedging
Entering into a derivatives contract to reduce the risk
associated with positions or commitments in their line of
business
10-4
Derivatives Markets
 The first wave of modern derivatives were foreign currency
futures introduced by the International Monetary Market
(IMM) following the Smithsonian Agreements of 1971 and
1973
 The second wave of modern derivatives were interest rate
futures introduced by the Chicago Board of Trade (CBT)
with the increase in interest rate volatility in the late 1970s
10-5
Derivatives Markets
 The third wave of modern derivatives occurred in the 1980s
with the advent of stock derivatives
 The fourth wave occurred in the 1990s with credit
derivatives
10-6
Forwards and Futures
 A spot contract is an agreement to transact involving the
immediate exchange of assets and funds
 A forward contract is a nonstandardized agreement to buy
or sell an asset in the future, with the terms of the deal set
when the contract is created
 Forwards are:
 custom contracts; lack standard terms
 not traded, so participants must perform
 risky; have potential counterparty credit risk
10-7
Forwards and Futures
 A futures contract is a standardized, exchange-traded
version of a forward contract
 Futures contracts differ from forwards in that futures are:
 marketable
 have no default risk
 employ margin requirements and daily marking to market
 margin requirement is a performance bond posted by a buyer
and a seller of a futures contract
10-8
Futures Markets
 Futures contract trading occurs in trading “pits” using an
open-outcry auction among exchange members
 floor brokers place trades for the public
 professional traders trade for their own accounts
 position traders take a position in the futures market
based on their expectations about the future direction of
the prices of the underlying assets
 day traders take a position within a day and liquidate it
before day’s end
 scalpers take positions for very short periods of time,
sometimes only minutes, in an attempt to profit from active
trading
10-9
Futures Markets
 Price volatility and trading interest determines which
contracts are offered
 Profit pressures for derivatives exchanges to merge
• CME Group contains CME, CBOT, NYMEX, and COMEX
 Electronic trading is increasingly dominating ‘pit’ trading
• Intercontinental Exchange only has electronic trading
10-10
Futures Contract Terms
 Trading unit
 Deliverable grades
 Tick size
 Price quote
 Contract months
 Last trading day
 Last delivery day
 Delivery method
 Trading hours
 Ticker symbols
 Daily price limit
10-11
Futures Contracts
 A long position is the purchase of a futures
contract
 A short position is the sale of a futures contract
 A clearinghouse is the unit that oversees trading
on the exchange and guarantees all trades made
by the exchange
 Open interest is the total number of the futures, put
options, or call options outstanding at the beginning
of the day
10-12
Futures Contracts
 An initial margin is a deposit required on futures trades to
ensure that the terms of the contracts will be met
 The maintenance margin is the margin a futures trader must
maintain once a futures position is taken
 if losses occur such that margin account funds fall below the
maintenance margin, the customer is required to deposit
additional funds in the margin account to keep the position open
10-13
Example -- Futures Contract
Terms
Contract: 30 year Treasury Bond contract
Exchange: Chicago Board of Trade
Delivery Months:Contract maturity months are March, June,
September, December
Contract Size: Contract calls for delivery of $100,000 face value
Deliverable Instrument: Treasury bonds that do mature for at least 15
years from the date of delivery and mature in no more than 25
years
IMR: Exchange mandated initial margin requirement of $3,713
(brokers may require a higher margin)
MMR: Exchange mandated maintenance margin required to keep the
account open
Contract Exchange
Delivery
Months
Contract
Size
Deliverable
Instrument
IMR MMR
T-Bond CBOT M,J,S,D $ 100,000 See below* $3,713 $2,750
10-14
Long and Short Positions
If an investor buys or goes “long” one June contract, they are agreeing to
buy $100,000 par or face value of T-Bonds at the original futures contract
price when the contract expires in June.
If an investor sells or goes “short” one June contract, they are agreeing
to deliver $100,000 par or face value of T-Bonds and receive the original
futures contract price when the contract expires in June.
Each investor must put up the IMR of $3,713 when they open the
contract.
Each investor must maintain the MMR of $2,750 in their margin account
while the position is open.
Contract Exchange
Delivery
Months
Contract
Size
Deliverable
Instrument
IMR MMR
T-Bond CBOT M,J,S,D $ 100,000 See below* $3,713 $2,750
10-15
T-Bond Futures Quote Sheet
 Price quotes are in dollars and 32nds as a percent of face value
 ‘Open’ price for the June contract of 124’28 is $124 28/32 percent
of $100,000 = $124,875
 If you buy the contract at the open, what are you agreeing to do?
 If you sell the contract at the open, what are you agreeing to do?
Last Change
Prev
Settle Open High Low Close
Jun 124’26 -0’01 124’27 124’28 124’28 124’16 124’26
Sep 123’20 +0’02 123’18 123’20 123’20 123’20 123’20
Source:
CBOT
10-16
Marking to Market
 Gains and losses are recognized daily
IMR = $3,713, MMR = $2,750
 Suppose you buy one June contract at the open of $124,875,
Monday’s close is 124’26, and Tuesday’s close is 122’29. What is
in your margin account after Tuesday’s settle?
 Who receives the money taken out of your margin account?
Settle
Underlying
Value
Price
Change
Margin
Acct
OPEN 124’28 $124,875.00 $3,713.00
Mon. 124’26 $124,812.50 -$ 62.50 $3,650.50
Tues. 122’29 $122,906.25 -$1,906.25 $1,744.25
MARGIN CALL (beneath $2,750) add cash = $1,968.75
$3,713.00
10-17
Options
 An option is a contract that gives the holder the right, but not
the obligation, to buy or sell the underlying asset at a
specified price within a specified period of time
 A call option is an option that gives the purchaser the right,
but not the obligation, to buy the underlying security from the
writer of the option at a specified exercise price on (or up to)
a specified date
 A put option is an option that gives the purchaser the right,
but not the obligation, to sell the underlying security to the
writer of the option at a specified exercise price on (or up to)
a specified date
10-18
Payoff Payoff for
profit call buyer
C
0 Stock Price
X at expiration
-C
Payoff
loss
Profit Diagrams for Call Options
Payoff for call
writer
10-19
Payoff
profit
P
0 Stock Price
X at expiration
-P
Payoff
loss
Profit Diagrams for Put Options
Payoff for put
buyer
Payoff for put
writer
10-20
Options
 The Black-Scholes option pricing model (the model most
commonly used to price and value options) is a function of:
 the spot price of the underlying asset
 the exercise price on the option
 the option’s exercise date
 the price volatility of the underlying asset
 the risk-free rate of interest
 The intrinsic value of an option is the difference between an
option’s exercise price and the underlying asset price
 the intrinsic value of a call option = max{S – X, 0}
 the intrinsic value of a put option = max{X – S, 0}
10-21
Option Intrinsic Value and Time
Value
10-22
• The May call is in the money (positive intrinsic value) and the call
premium is $3.30 * 100 = $330 (contracts are for 100 shares)
• The intrinsic value of the call (S-X) is ($8.79 - $6.00) * 100 = $279
• The time value of the call is $330 - $279 = $51
• The May put is out of the money and the put’s intrinsic value (X-S) is
0
• The put still has time value, however, equal to $0.45 * 100 = $45
Option Price Quotes
AMR Underlying stock price $8.79
Expiration
Call Put
STRIKE LAST VOLUME
OPEN
INTEREST LAST VOLUME
OPEN
INTEREST
May 6.00 3.30 12 578 0.45 20 4175
Jan 7.50 1.30 60 17062 0.15 138 58909
10-23
Option Markets
 The Chicago Board of Options Exchange (CBOE) opened
in 1973 as the first exchange devoted solely to the trading of
stock options
 Options on futures contracts began trading in 1982
 An American option can be exercised at any time before
(and on) the expiration date
 A European option can be exercised only on the expiration
date
 The trading process for options is similar to that for futures
contracts
10-24
More on Options
 The underlying asset on a stock option is the stock of a publicly
traded company
 The underlying asset on a stock index option is the value of a
major stock market index (e.g., DJIA or S&P 500)
 The underlying asset on a futures option is a futures contract
 Credit spread call options
 the value of a credit spread call option increases as the
default (risk) premium or yield spread on a specified benchmark
bond of the borrower increases above some exercise spread
 A digital default option pays a stated amount in the event of
a loan default
10-25
Swaps
 A swap is an agreement between two parties to exchange
assets or a series of cash flows for a specific period of time at a
specified interval
 A plain vanilla interest rate swap is an exchange of fixed-
interest payments for floating-interest payments by two
counterparties
 the swap buyer makes a periodic fixed interest rate payment on a
stated notional principal amount
 the swap seller makes a periodic floating-rate interest payments on
the same stated notional principal amount
 no principal is exchanged
10-26
Swaps
 A currency swap is a periodic exchange of one currency for
another between the parties
 Usually associated with borrowing money
 The exchanges can be at a fixed or a variable rate of interest as
negotiated in the contract, but the exchanges occur at a known
currency exchange rate
 Used to hedge exchange rate risk from mismatched currencies
of assets and liabilities
10-27
Swaps
 Credit default swaps (CDS) allow financial institutions to
hedge credit risk
 A CDS buyer is buying insurance on a loan or bond
 CDS seller receives periodic payments from the CDS
buyer
 If the insured loan or bond defaults, the CDS seller pays
the par value of the loan or bond to the CDS buyer
 CDS played a major role in the financial crisis, AIG and
others were major sellers of CDS that insured mortgage-
backed securities, but lacked capital and could not pay
when the mortgage securities failed
10-28
Swap Markets
 Swaps are not standardized contracts
 Swap dealers (usually financial institutions) keep markets
liquid by matching counterparties or by taking positions
themselves
 The International Swaps and Derivatives Association
(ISDA) is an association among 56 countries that sets codes
of standards for swap documentation
10-29
Caps, Floors, and Collars
 Financial institutions use options on interest rates to
hedge interest rate risk
 a cap is a call option on interest rates, often with multiple
exercise dates
 a floor is a put option on interest rates, often with multiple
exercise dates
 a collar is a position taken simultaneously in a cap and a
floor (usually buying a cap and selling a floor)
10-30
Regulators of Derivatives
 The primary regulator of futures markets is the
Commodity Futures Trading Commission
(CFTC)
 The Securities Exchange Commission (SEC) is
the primary regulator of stock options and stock
index options
 The CFTC is the regulator of options on futures
contracts
10-31
Regulators of Derivatives
 Until the Dodd-Frank Act neither the SEC nor the
CFTC directly regulated OTC derivatives such as
swaps
 Under the new law OTC derivatives may be
required to be traded on an exchange and as such
would come under the purview of the SEC and
CFTC
 Bank regulators will presumably more tightly
regulate bank usage of derivatives
10-32
International Derivative Markets
Securities in the U.S. markets and the euro and U.S. dollar
are the most common bases for derivatives
Summary of Text Table 10-
11 & 10-12
Amounts of OTC Global Derivative Securities
Outstanding (Bill $)
Contract 2007 2009 % Growth
Total OTC $339,651 $614,674 81%
Currency Contracts $ 40,179 $ 49,196 22%
Interest Rate Contracts $291,987 $449,793 54%
Equity Linked Contracts $ 7,485 $ 6,591 -12%
Amounts of Exchange Traded Global Derivative
Securities Outstanding (Bill $)
Futures Contracts $31,682.3 $21,757.2 -31%
Option Contracts $64,983.9 $51,382.8 -21%
10-33
Black-Sholes Call Option Model
T
d
d
T
T
r
E
S
d
d
N
e
E
S
d
N
C rT









 
1
2
2
1
2
1
)
2
/
(
)
/
ln(
)
(
)
(
)
(

FD.ppt

  • 1.
    McGraw-Hill/Irwin Copyright ©2012 by The McGraw-Hill Companies, Inc. All rights reserved. Chapter Ten Derivative Securities Markets
  • 2.
    10-2 Derivatives  A derivativeis a contract between two parties whose value is based on some underlying asset price or condition  In a derivative, two parties agree to exchange a standard quantity of an asset at a predetermined price at a specific date in the future
  • 3.
    10-3 Derivatives’ Uses  Derivativesare leveraged instruments where participants put up a small amount of money and obtain the gain or loss on a much larger position  Derivatives are used for speculation and for hedging  Speculation Buying or selling a derivative contract in order to earn a leveraged rate of return  Hedging Entering into a derivatives contract to reduce the risk associated with positions or commitments in their line of business
  • 4.
    10-4 Derivatives Markets  Thefirst wave of modern derivatives were foreign currency futures introduced by the International Monetary Market (IMM) following the Smithsonian Agreements of 1971 and 1973  The second wave of modern derivatives were interest rate futures introduced by the Chicago Board of Trade (CBT) with the increase in interest rate volatility in the late 1970s
  • 5.
    10-5 Derivatives Markets  Thethird wave of modern derivatives occurred in the 1980s with the advent of stock derivatives  The fourth wave occurred in the 1990s with credit derivatives
  • 6.
    10-6 Forwards and Futures A spot contract is an agreement to transact involving the immediate exchange of assets and funds  A forward contract is a nonstandardized agreement to buy or sell an asset in the future, with the terms of the deal set when the contract is created  Forwards are:  custom contracts; lack standard terms  not traded, so participants must perform  risky; have potential counterparty credit risk
  • 7.
    10-7 Forwards and Futures A futures contract is a standardized, exchange-traded version of a forward contract  Futures contracts differ from forwards in that futures are:  marketable  have no default risk  employ margin requirements and daily marking to market  margin requirement is a performance bond posted by a buyer and a seller of a futures contract
  • 8.
    10-8 Futures Markets  Futurescontract trading occurs in trading “pits” using an open-outcry auction among exchange members  floor brokers place trades for the public  professional traders trade for their own accounts  position traders take a position in the futures market based on their expectations about the future direction of the prices of the underlying assets  day traders take a position within a day and liquidate it before day’s end  scalpers take positions for very short periods of time, sometimes only minutes, in an attempt to profit from active trading
  • 9.
    10-9 Futures Markets  Pricevolatility and trading interest determines which contracts are offered  Profit pressures for derivatives exchanges to merge • CME Group contains CME, CBOT, NYMEX, and COMEX  Electronic trading is increasingly dominating ‘pit’ trading • Intercontinental Exchange only has electronic trading
  • 10.
    10-10 Futures Contract Terms Trading unit  Deliverable grades  Tick size  Price quote  Contract months  Last trading day  Last delivery day  Delivery method  Trading hours  Ticker symbols  Daily price limit
  • 11.
    10-11 Futures Contracts  Along position is the purchase of a futures contract  A short position is the sale of a futures contract  A clearinghouse is the unit that oversees trading on the exchange and guarantees all trades made by the exchange  Open interest is the total number of the futures, put options, or call options outstanding at the beginning of the day
  • 12.
    10-12 Futures Contracts  Aninitial margin is a deposit required on futures trades to ensure that the terms of the contracts will be met  The maintenance margin is the margin a futures trader must maintain once a futures position is taken  if losses occur such that margin account funds fall below the maintenance margin, the customer is required to deposit additional funds in the margin account to keep the position open
  • 13.
    10-13 Example -- FuturesContract Terms Contract: 30 year Treasury Bond contract Exchange: Chicago Board of Trade Delivery Months:Contract maturity months are March, June, September, December Contract Size: Contract calls for delivery of $100,000 face value Deliverable Instrument: Treasury bonds that do mature for at least 15 years from the date of delivery and mature in no more than 25 years IMR: Exchange mandated initial margin requirement of $3,713 (brokers may require a higher margin) MMR: Exchange mandated maintenance margin required to keep the account open Contract Exchange Delivery Months Contract Size Deliverable Instrument IMR MMR T-Bond CBOT M,J,S,D $ 100,000 See below* $3,713 $2,750
  • 14.
    10-14 Long and ShortPositions If an investor buys or goes “long” one June contract, they are agreeing to buy $100,000 par or face value of T-Bonds at the original futures contract price when the contract expires in June. If an investor sells or goes “short” one June contract, they are agreeing to deliver $100,000 par or face value of T-Bonds and receive the original futures contract price when the contract expires in June. Each investor must put up the IMR of $3,713 when they open the contract. Each investor must maintain the MMR of $2,750 in their margin account while the position is open. Contract Exchange Delivery Months Contract Size Deliverable Instrument IMR MMR T-Bond CBOT M,J,S,D $ 100,000 See below* $3,713 $2,750
  • 15.
    10-15 T-Bond Futures QuoteSheet  Price quotes are in dollars and 32nds as a percent of face value  ‘Open’ price for the June contract of 124’28 is $124 28/32 percent of $100,000 = $124,875  If you buy the contract at the open, what are you agreeing to do?  If you sell the contract at the open, what are you agreeing to do? Last Change Prev Settle Open High Low Close Jun 124’26 -0’01 124’27 124’28 124’28 124’16 124’26 Sep 123’20 +0’02 123’18 123’20 123’20 123’20 123’20 Source: CBOT
  • 16.
    10-16 Marking to Market Gains and losses are recognized daily IMR = $3,713, MMR = $2,750  Suppose you buy one June contract at the open of $124,875, Monday’s close is 124’26, and Tuesday’s close is 122’29. What is in your margin account after Tuesday’s settle?  Who receives the money taken out of your margin account? Settle Underlying Value Price Change Margin Acct OPEN 124’28 $124,875.00 $3,713.00 Mon. 124’26 $124,812.50 -$ 62.50 $3,650.50 Tues. 122’29 $122,906.25 -$1,906.25 $1,744.25 MARGIN CALL (beneath $2,750) add cash = $1,968.75 $3,713.00
  • 17.
    10-17 Options  An optionis a contract that gives the holder the right, but not the obligation, to buy or sell the underlying asset at a specified price within a specified period of time  A call option is an option that gives the purchaser the right, but not the obligation, to buy the underlying security from the writer of the option at a specified exercise price on (or up to) a specified date  A put option is an option that gives the purchaser the right, but not the obligation, to sell the underlying security to the writer of the option at a specified exercise price on (or up to) a specified date
  • 18.
    10-18 Payoff Payoff for profitcall buyer C 0 Stock Price X at expiration -C Payoff loss Profit Diagrams for Call Options Payoff for call writer
  • 19.
    10-19 Payoff profit P 0 Stock Price Xat expiration -P Payoff loss Profit Diagrams for Put Options Payoff for put buyer Payoff for put writer
  • 20.
    10-20 Options  The Black-Scholesoption pricing model (the model most commonly used to price and value options) is a function of:  the spot price of the underlying asset  the exercise price on the option  the option’s exercise date  the price volatility of the underlying asset  the risk-free rate of interest  The intrinsic value of an option is the difference between an option’s exercise price and the underlying asset price  the intrinsic value of a call option = max{S – X, 0}  the intrinsic value of a put option = max{X – S, 0}
  • 21.
  • 22.
    10-22 • The Maycall is in the money (positive intrinsic value) and the call premium is $3.30 * 100 = $330 (contracts are for 100 shares) • The intrinsic value of the call (S-X) is ($8.79 - $6.00) * 100 = $279 • The time value of the call is $330 - $279 = $51 • The May put is out of the money and the put’s intrinsic value (X-S) is 0 • The put still has time value, however, equal to $0.45 * 100 = $45 Option Price Quotes AMR Underlying stock price $8.79 Expiration Call Put STRIKE LAST VOLUME OPEN INTEREST LAST VOLUME OPEN INTEREST May 6.00 3.30 12 578 0.45 20 4175 Jan 7.50 1.30 60 17062 0.15 138 58909
  • 23.
    10-23 Option Markets  TheChicago Board of Options Exchange (CBOE) opened in 1973 as the first exchange devoted solely to the trading of stock options  Options on futures contracts began trading in 1982  An American option can be exercised at any time before (and on) the expiration date  A European option can be exercised only on the expiration date  The trading process for options is similar to that for futures contracts
  • 24.
    10-24 More on Options The underlying asset on a stock option is the stock of a publicly traded company  The underlying asset on a stock index option is the value of a major stock market index (e.g., DJIA or S&P 500)  The underlying asset on a futures option is a futures contract  Credit spread call options  the value of a credit spread call option increases as the default (risk) premium or yield spread on a specified benchmark bond of the borrower increases above some exercise spread  A digital default option pays a stated amount in the event of a loan default
  • 25.
    10-25 Swaps  A swapis an agreement between two parties to exchange assets or a series of cash flows for a specific period of time at a specified interval  A plain vanilla interest rate swap is an exchange of fixed- interest payments for floating-interest payments by two counterparties  the swap buyer makes a periodic fixed interest rate payment on a stated notional principal amount  the swap seller makes a periodic floating-rate interest payments on the same stated notional principal amount  no principal is exchanged
  • 26.
    10-26 Swaps  A currencyswap is a periodic exchange of one currency for another between the parties  Usually associated with borrowing money  The exchanges can be at a fixed or a variable rate of interest as negotiated in the contract, but the exchanges occur at a known currency exchange rate  Used to hedge exchange rate risk from mismatched currencies of assets and liabilities
  • 27.
    10-27 Swaps  Credit defaultswaps (CDS) allow financial institutions to hedge credit risk  A CDS buyer is buying insurance on a loan or bond  CDS seller receives periodic payments from the CDS buyer  If the insured loan or bond defaults, the CDS seller pays the par value of the loan or bond to the CDS buyer  CDS played a major role in the financial crisis, AIG and others were major sellers of CDS that insured mortgage- backed securities, but lacked capital and could not pay when the mortgage securities failed
  • 28.
    10-28 Swap Markets  Swapsare not standardized contracts  Swap dealers (usually financial institutions) keep markets liquid by matching counterparties or by taking positions themselves  The International Swaps and Derivatives Association (ISDA) is an association among 56 countries that sets codes of standards for swap documentation
  • 29.
    10-29 Caps, Floors, andCollars  Financial institutions use options on interest rates to hedge interest rate risk  a cap is a call option on interest rates, often with multiple exercise dates  a floor is a put option on interest rates, often with multiple exercise dates  a collar is a position taken simultaneously in a cap and a floor (usually buying a cap and selling a floor)
  • 30.
    10-30 Regulators of Derivatives The primary regulator of futures markets is the Commodity Futures Trading Commission (CFTC)  The Securities Exchange Commission (SEC) is the primary regulator of stock options and stock index options  The CFTC is the regulator of options on futures contracts
  • 31.
    10-31 Regulators of Derivatives Until the Dodd-Frank Act neither the SEC nor the CFTC directly regulated OTC derivatives such as swaps  Under the new law OTC derivatives may be required to be traded on an exchange and as such would come under the purview of the SEC and CFTC  Bank regulators will presumably more tightly regulate bank usage of derivatives
  • 32.
    10-32 International Derivative Markets Securitiesin the U.S. markets and the euro and U.S. dollar are the most common bases for derivatives Summary of Text Table 10- 11 & 10-12 Amounts of OTC Global Derivative Securities Outstanding (Bill $) Contract 2007 2009 % Growth Total OTC $339,651 $614,674 81% Currency Contracts $ 40,179 $ 49,196 22% Interest Rate Contracts $291,987 $449,793 54% Equity Linked Contracts $ 7,485 $ 6,591 -12% Amounts of Exchange Traded Global Derivative Securities Outstanding (Bill $) Futures Contracts $31,682.3 $21,757.2 -31% Option Contracts $64,983.9 $51,382.8 -21%
  • 33.
    10-33 Black-Sholes Call OptionModel T d d T T r E S d d N e E S d N C rT            1 2 2 1 2 1 ) 2 / ( ) / ln( ) ( ) ( ) (