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Derivatives
Management
UNIT – 1 INTRODUCTION


Derivatives –definition – types – forward
 contracts – Options – swaps – difference
 between cash and future markets – types
 of traders – OTC and Exchange Traders
 Securities – types of Settlement – Uses
 and Advantages of derivatives - Risks in
 Derivatives.
Definition –
    “A security whose price is dependent
upon or derived from one or more
underlying assets. The derivative itself is
merely a contract between two or more
parties. Its value is determined by
fluctuations in the underlying asset. The
most common underlying assets
include stocks,
bonds, commodities, currencies, interest
rates and market indexes. Most
derivatives are characterized by high
leverage”.
Derivatives
A financial contract of pre-determined
 duration, whose value is derived from the
 value of an underlying asset
 Securities
  commodities
  bullion
  precious metals
  currency
  livestock
  index such as interest rates, exchange rates
What do derivatives do?

 Derivatives  attempt either to minimize the
  loss arising from adverse price movements of
  the underlying asset
 Or maximize the profits arising out of
  favorable price fluctuation. Since derivatives
  derive their value from the underlying asset
  they are called as derivatives.
Types of Derivatives
(UA: Underlying Asset)

Based  on the underlying assets
 derivatives are classified into.
 Financial Derivatives (UA: Fin
  asset)
 Commodity Derivatives (UA: gold
  etc)
 Index Derivative (BSE sensex)
How are derivatives used?
 Derivatives are basically risk shifting
  instruments. Hedging is the most important
  aspect of derivatives and also their basic
  economic purpose
 Derivatives can be compared to an insurance
  policy. As one pays premium in advance to an
  insurance company in protection against a
  specific event, the derivative products have a
  payoff contingent upon the occurrence of some
  event for which he pays premium in advance.
What is Risk?
   The concept of risk is simple. It is the
    potential for change in the price or value
    of some asset or commodity. The meaning
    of risk is not restricted just to the
    potential for loss. There is upside risk and
    there is downside risk as well.
What is a Hedge
 To Be cautious or to protect against loss.
 In financial parlance, hedging is the act of
  reducing uncertainty about future price
  movements in a commodity, financial
  security or foreign currency .
 Thus a hedge is a way of insuring an
  investment against risk.
   What is derivatives in stock market,
    how it is different from equity
    shares?
       In derivatives u can buy a future stock
    by paying 20% amount of the stock. its
    always in lot sizes, and there are 3 way
    available for trading in derivative
    1)current month 2) next month 3)next to
    next month.
It expires on the last Thursday of
every month. where in equity u can by a
stock by paying the price at spot. and u
can hold the stock for as much time as
much u want.
     long term investments are done in
equity shares we can do short term
trading also but in derivatives we can do
only short term trading which can last for
maximum 3 months.
     There are other options also in
derivatives like call , put ,forward options
Growth of Derivatives Market
   Analytical techniques
   Technology
   Globalization




                               12
importance of derivatives
 There are several risks inherent in
 financial transactions. Derivatives are
 used to separate risks from traditional
 instruments and transfer these risks to
 parties willing to bear these risks.
   . The fundamental risks involved in derivative
    business includes:
   Credit Risk
   This is the risk of failure of a counterparty to
    perform its obligation as per the contract.
    Also known as default or counterparty risk, it
    differs with different instruments.
   Market Risk
   Market risk is a risk of financial loss as a
    result of adverse movements of prices of the
    underlying asset/instrument.
 Liquidity Risk
The inability of a firm to arrange a
  transaction at prevailing market prices is
  termed as liquidity risk. A firm faces two
  types of liquidity risks
Related to liquidity of separate products
Related to the funding of activities of the
  firm including derivatives.
 Legal Risk
 Derivatives cut across judicial boundaries,
  therefore the legal aspects associated
  with the deal should be looked into
  carefully.
Who are the operators in the
  derivatives market?
 Hedgers - Operators, who want to
  transfer a risk component of their
  portfolio.
 Speculators - Operators, who
  intentionally take the risk from hedgers in
  pursuit of profit.
 Arbitrageurs - Operators who operate in
  the different markets simultaneously, in
  pursuit of profit and eliminate miss-
  pricing.
Derivative Instruments.
 Forward contracts
 Futures
    ◦ Commodity
    ◦ Financial (Stock index, interest rate & currency
      )
   Options
    ◦ Put
    ◦ Call
   Swaps.
    ◦ Interest Rate
    ◦ Currency
Forward Contracts
  An agreement where one party agrees
   to buy (or sell) the underlying asset at
   a specific future date and a price is set
   at the time the contract is entered into.
  Characteristics
     ◦ Flexibility
     ◦ Default risk
     ◦ Liquidity risk
    Positions in Forwards
     ◦ Long position
     ◦ Short position

                                               18
Hedging with Futures
 Hedging:  Generally conducted
 where a price change could
 negatively affect a firm’s profits.
 ◦ Long hedge: Involves the purchase of
   a futures contract to guard against a
   price increase.
 ◦ Short hedge: Involves the sale of a
   futures contract to protect against a
   price decline in commodities or financial
   securities.
 ◦ Perfect hedge: Occurs when gain/loss
   on hedge transaction exactly offsets
   loss/gain on unhedged position.
                                               19
Option Contracts
 The right, but not the obligation, to buy
  or sell a specified asset at a specified
  price within a specified period of time.
 Option Terminology
    ◦   Call option versus put option
    ◦   Holder versus writer or grantor
    ◦   Exercise or strike price
    ◦   Option premium
    ◦   American versus European option
   Market Arrangements


                                              20
Swap Contracts
   Financial contracts obligating one party to
    exchange a set of payments it owns for
    another set of payments owed by another
    party.
    ◦ Currency swaps
    ◦ Interest rate swaps
 Usually used because each party prefers
  the terms of the other’s debt contract.
 Reduces interest rate risk or currency risk
  for both parties involved.


                                                  21
   Commodity Price Exposure
    ◦ The purchase of a commodity futures contract
      will allow a firm to make a future purchase of
      the input at today’s price, even if the market
      price on the item has risen substantially in the
      interim.
   Security Price Exposure
    ◦ The purchase of a financial futures contract will
      allow a firm to make a future purchase of the
      security at today’s price, even if the market
      price on the asset has risen substantially in the
      interim.




Using Derivatives to Reduce Risk
                                                          22
   Foreign Exchange Exposure
    ◦ The purchase of a currency futures or options
      contract will allow a firm to make a future
      purchase of the currency at today’s price, even
      if the market price on the currency has risen
      substantially in the interim.




Using Derivatives to Reduce Risk
                                                        23
   Increases financial leverage

   Derivative instruments are too complex

   Risk of financial distress




Risks to Corporations from
Financial Derivatives
                                             24
Forward Contracts.
◦A one to one bipartite contract,
 which is to be performed in
 future at the terms decided
 today.
 Eg: Jay and Viru enter into a contract to
  trade in one stock on Infosys 3 months
  from today the date of the contract @ a
  price of Rs4675/-
 Note: Product ,Price ,Quantity & Time
  have been determined in advance by both
  the parties.
 Delivery and payments will take place as
  per the terms of this contract on the
  designated date and place. This is a
  simple example of forward contract.
   The key elements of a futures contract are:
    ◦ Futures price
    ◦ Settlement or Delivery Date
    ◦ Underlying (infosys stock)
Illustration.
   Let us once again take the earlier example
    where Jay and Viru entered into a contract to
    buy and sell Infosys shares. Now, assume that
    this contract is taking place through the
    exchange, traded on the exchange and
    clearing corporation/house is the counter-
    party to this, it would be called a futures
    contract.
Positions in a futures contract
 Long - this is when a person buys a
  futures contract, and agrees to receive
  delivery at a future date. Eg: Viru’s
  position
 Short - this is when a person sells a
  futures contract, and agrees to make
  delivery. Eg: Jay’s Position
How does one make money in
a futures contract?
 The long makes money when the
  underlying assets price rises above the
  futures price.
 The short makes money when the
  underlying asset’s price falls below the
  futures price.
 Concept of initial margin
 Degree of Leverage = 1/margin rate.
Options
   An option is a contract giving the
    buyer the right, but not the
    obligation, to buy or sell an
    underlying asset at a specific price
    on or before a certain date. An option
    is a security, just like a stock or bond,
    and is a binding contract with strictly
    defined terms and properties.
Options Lingo
 Underlying: This is the specific security /
  asset on which an options contract is
  based.
 Option Premium: Premium is the price
  paid by the buyer to the seller to acquire
  the right to buy or sell. It is the total cost
  of an option. It is the difference between
  the higher price paid for a security and the
  security's face amount at issue. The
  premium of an option is basically the sum
  of the option's intrinsic and time value.
 Strike Price or Exercise Price :price of an
  option is the specified/ pre-determined price of
  the underlying asset at which the same can be
  bought or sold if the option buyer exercises his
  right to buy/ sell on or before the expiration
  day.
 Expiration date: The date on which the option
  expires is known as Expiration Date
 Exercise: An action by an option holder taking
  advantage of a favourable market situation
  .’Trade in’ the option for stock.
 Exercise Date: is the date on which the option
  is actually exercised.
 European style of options: The European
  kind of option is the one which can be
  exercised by the buyer on the expiration day
  only & not anytime before that.
 American style of options: An American
  style option is the one which can be exercised
  by the buyer on or before the expiration date,
  i.e. anytime between the day of purchase of
  the option and the day of its expiry.
   Asian style of options: these are in-between
    European and American. An Asian option's
    payoff depends on the average price of the
    underlying asset over a certain period of time.
   Option Holder
   Option seller/ writer
   Call option: An option contract giving the
    owner the right to buy a specified amount of
    an underlying security at a specified price
    within a specified time.
   Put Option: An option contract giving the
    owner the right to sell a specified amount of an
    underlying security at a specified price within a
    specified time
   In-the-money: For a call option, in-the-
    money is when the option's strike price is
    below the market price of the underlying
    stock. For a put option, in the money is when
    the strike price is above the market price of
    the underlying stock. In other words, this is
    when the stock option is worth money and
    can be turned around and exercised for a
    profit.
◦ Intrinsic Value: The intrinsic value of an option is
      defined as the amount by which an option is in-the-
      money, or the immediate exercise value of the option
      when the underlying position is marked-to-market.

   For a call option: Intrinsic Value = Spot Price -
    Strike Price

    For a put option: Intrinsic Value = Strike Price
    - Spot Price
Example of an Option

   Elvis and crocodiles.
Positions
 Long Position: The term used when a
  person owns a security or commodity and
  wants to sell. If a person is long in a
  security then he wants it to go up in price.
 Short position: The term used to describe
  the selling of a security, commodity, or
  currency. The investor's sales exceed
  holdings because they believe the price will
  fall.
Profit/Loss Profile of a Long call Position
     Profit


      0                                          Price
                                                 of
                      100       103
                                                 Asset
                                                 XYZ
      -3                                         at
                       Option Price = Rs3        expira
          Loss                                   tion
                       Strike Price = Rs100
                       Time to expiration = 1month
Profit /Loss Profile for a Short Call Position

  Profit

  +3


                                                  Price of the
   0                                              Asset XYZ
                                                  at
                      100         103             expiration

                  Initial price of the asset = Rs100
                  Option price= Rs3
                  Strike price = Rs100
   Loss
                  Time to expiration = 1 month
Profit/Loss
Profile for a Long Put Position

    Profit


                                                 Price of
0
                                                 the Asset
             98   100
                                                 XYZ at
                                                 expiration
-2                Initial price of the asset XYZ = Rs100
                  Option Price = Rs2
    Loss          Strike price = Rs100
                  Time to expiration = 1 month
Profit/Loss Profile for a Short Put
Position
    Profit

   +2
                                                 Price of
                                                 the Asset
    0                                            XYZ at
                                                 expiration
             94   100
                        Initial price of the asset XYZ =
                        Rs100
                        Option Price = Rs2
    Loss
                        Strike price = Rs100
                        Time to expiration = 1 month
Summary
 The profit and loss profile for a short put
  option is the mirror image of the long put
  option. The maximum profit from this
  position is the option price. The theoritical
  maximum loss can be substantial should the
  price of the underlying asset fall.
 Buying calls or selling puts allows investor to
  gain if the price of the underlying asset rises;
  and selling calls and buying puts allows the
  investors to gain if the price of the
  underlying asset falls.
Long Call
Short Put
             Price rises




             Price Falls
Long Put
Short Call
Stock Index Option
 Trading in options whose underlying instrument is the
  stock index.
 Here if the option is exercised, the exchange assigned
  option writer pays cash to the options buyer. There is
  no delivery of any stock.
 Dollar Value of the underlying index = Cash index
  value * Contract multiple.
 The contract multiple for the S&P100 is $100. So, for
  eg, if the cash index value for the S&P is 720,then
  dollar value will be $72,000
 For a stock option, the price at which the buyer
 of the option can buy or sell the stock is the
 strike price. For an index option, the strike index
 is the index value at which the buyer of the
 option can buy or sell the underlying stock
 index.
 For Eg:  If the strike index is 700 for an S&P
 index option, the USD value is $70,000. If an
 investor purchases a call option on the S&P100
 with a strike of 700, and exercises the option
 when the index is 720, then the investor has the
 right to purchase the index for $70,000 when
 the USD value of the index is $72000. The
 buyer of the call option then receive$2000 from
 the option writer.
Binomial Model for Option
    Valuation
   Current Price of the stock = S
   Two possible values it can take next year :- uS
    or dS ( uS> dS)
   Amount B can be borrowed or lent at a rate of
    r. The interest factor (1+r) may be represented
    , for sake of simplicity , as R.
    d<R<u.
   Exercise price is E.
 Value  of a call option, just before expiration,
  if the stock price goes up to uS is
                Cu = Max(uS-E,0)
 Value of a call option, just before expiration,
  if the stock price goes down to dS is
                Cd = Max(dS-E,0)
   The value of the call option is
                      C=^S+B
   ^ = (Cu-Cd)/ S (u-d)
   B = uCd-dCu/(u-d)R
Illustration:
S=200, u=1.4, d=.9 E=220 r=0.15 R=1.15
Cu = Max(uS-E,0) = Max(280-220,0)=60
Cd = Max(dS-E,0) = Max(180-220,0)=0
^=Cu-Cd/(u-d)S = 60/(1.4-.9)200=0.6
B=uCd-dCu/(u-d)R = -0.9(60)/0.5(1.15) = -93.91
 (A negative value for B means that funds are
 borrowed).
Thus the portfolio consists of 0.6 of a share plus a
 borrowing of 93.91( requiring a payment of
 93.91(1.15) = 108 after one year.
     C=^S+B= 0.6*200-93.91 = 26.09
Swaps
 An agreement between two parties to
 exchange one set of cash flows for another.
 In essence it is a portfolio of forward
 contracts. While a forward contract involves
 one exchange at a specific future date, a
 swap contract entitles multiple exchanges
 over a period of time. The most popular are
 interest rate swaps and currency swaps.
Counter Party                                      Counter Party
                           LIBOR

     A                                                          B

                     Fixed Rate of 12%

         Rs50,00,00,000.00 – Notional Principle


Interest Rate Swap
      ‘A’ is the fixed rate receiver and variable rate payer.
      ‘B’ is the variable rate receiver and fixed rate payer.
   The only Rupee exchanged between the parties are the net
    interest payment, not the notional principle amount.
   In the given eg A pays LIBOR/2*50crs to B once every six
    months. Say LIBOR=5% then A pays be 5%/2*50crs=
    1.25crs
   B pays A 12%/2*50crs=3crs
   The value of the swap will fluctuate with market interest
    rates.
   If interest rates decline fixed rate payer is at a loss, If
    interest rates rise variable rate payer is at a loss.
    Conversely if rates rise fixed rate payer profits and floating
    rate payer looses.

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Derivatives

  • 2. UNIT – 1 INTRODUCTION Derivatives –definition – types – forward contracts – Options – swaps – difference between cash and future markets – types of traders – OTC and Exchange Traders Securities – types of Settlement – Uses and Advantages of derivatives - Risks in Derivatives.
  • 3. Definition – “A security whose price is dependent upon or derived from one or more underlying assets. The derivative itself is merely a contract between two or more parties. Its value is determined by fluctuations in the underlying asset. The most common underlying assets include stocks, bonds, commodities, currencies, interest rates and market indexes. Most derivatives are characterized by high leverage”.
  • 4. Derivatives A financial contract of pre-determined duration, whose value is derived from the value of an underlying asset Securities  commodities  bullion  precious metals  currency  livestock  index such as interest rates, exchange rates
  • 5. What do derivatives do?  Derivatives attempt either to minimize the loss arising from adverse price movements of the underlying asset  Or maximize the profits arising out of favorable price fluctuation. Since derivatives derive their value from the underlying asset they are called as derivatives.
  • 6. Types of Derivatives (UA: Underlying Asset) Based on the underlying assets derivatives are classified into. Financial Derivatives (UA: Fin asset) Commodity Derivatives (UA: gold etc) Index Derivative (BSE sensex)
  • 7. How are derivatives used?  Derivatives are basically risk shifting instruments. Hedging is the most important aspect of derivatives and also their basic economic purpose  Derivatives can be compared to an insurance policy. As one pays premium in advance to an insurance company in protection against a specific event, the derivative products have a payoff contingent upon the occurrence of some event for which he pays premium in advance.
  • 8. What is Risk?  The concept of risk is simple. It is the potential for change in the price or value of some asset or commodity. The meaning of risk is not restricted just to the potential for loss. There is upside risk and there is downside risk as well.
  • 9. What is a Hedge  To Be cautious or to protect against loss.  In financial parlance, hedging is the act of reducing uncertainty about future price movements in a commodity, financial security or foreign currency .  Thus a hedge is a way of insuring an investment against risk.
  • 10. What is derivatives in stock market, how it is different from equity shares? In derivatives u can buy a future stock by paying 20% amount of the stock. its always in lot sizes, and there are 3 way available for trading in derivative 1)current month 2) next month 3)next to next month.
  • 11. It expires on the last Thursday of every month. where in equity u can by a stock by paying the price at spot. and u can hold the stock for as much time as much u want. long term investments are done in equity shares we can do short term trading also but in derivatives we can do only short term trading which can last for maximum 3 months. There are other options also in derivatives like call , put ,forward options
  • 12. Growth of Derivatives Market  Analytical techniques  Technology  Globalization 12
  • 13. importance of derivatives There are several risks inherent in financial transactions. Derivatives are used to separate risks from traditional instruments and transfer these risks to parties willing to bear these risks.
  • 14. . The fundamental risks involved in derivative business includes:  Credit Risk  This is the risk of failure of a counterparty to perform its obligation as per the contract. Also known as default or counterparty risk, it differs with different instruments.  Market Risk  Market risk is a risk of financial loss as a result of adverse movements of prices of the underlying asset/instrument.
  • 15.  Liquidity Risk The inability of a firm to arrange a transaction at prevailing market prices is termed as liquidity risk. A firm faces two types of liquidity risks Related to liquidity of separate products Related to the funding of activities of the firm including derivatives.  Legal Risk  Derivatives cut across judicial boundaries, therefore the legal aspects associated with the deal should be looked into carefully.
  • 16. Who are the operators in the derivatives market?  Hedgers - Operators, who want to transfer a risk component of their portfolio.  Speculators - Operators, who intentionally take the risk from hedgers in pursuit of profit.  Arbitrageurs - Operators who operate in the different markets simultaneously, in pursuit of profit and eliminate miss- pricing.
  • 17. Derivative Instruments.  Forward contracts  Futures ◦ Commodity ◦ Financial (Stock index, interest rate & currency )  Options ◦ Put ◦ Call  Swaps. ◦ Interest Rate ◦ Currency
  • 18. Forward Contracts  An agreement where one party agrees to buy (or sell) the underlying asset at a specific future date and a price is set at the time the contract is entered into.  Characteristics ◦ Flexibility ◦ Default risk ◦ Liquidity risk  Positions in Forwards ◦ Long position ◦ Short position 18
  • 19. Hedging with Futures  Hedging: Generally conducted where a price change could negatively affect a firm’s profits. ◦ Long hedge: Involves the purchase of a futures contract to guard against a price increase. ◦ Short hedge: Involves the sale of a futures contract to protect against a price decline in commodities or financial securities. ◦ Perfect hedge: Occurs when gain/loss on hedge transaction exactly offsets loss/gain on unhedged position. 19
  • 20. Option Contracts  The right, but not the obligation, to buy or sell a specified asset at a specified price within a specified period of time.  Option Terminology ◦ Call option versus put option ◦ Holder versus writer or grantor ◦ Exercise or strike price ◦ Option premium ◦ American versus European option  Market Arrangements 20
  • 21. Swap Contracts  Financial contracts obligating one party to exchange a set of payments it owns for another set of payments owed by another party. ◦ Currency swaps ◦ Interest rate swaps  Usually used because each party prefers the terms of the other’s debt contract.  Reduces interest rate risk or currency risk for both parties involved. 21
  • 22. Commodity Price Exposure ◦ The purchase of a commodity futures contract will allow a firm to make a future purchase of the input at today’s price, even if the market price on the item has risen substantially in the interim.  Security Price Exposure ◦ The purchase of a financial futures contract will allow a firm to make a future purchase of the security at today’s price, even if the market price on the asset has risen substantially in the interim. Using Derivatives to Reduce Risk 22
  • 23. Foreign Exchange Exposure ◦ The purchase of a currency futures or options contract will allow a firm to make a future purchase of the currency at today’s price, even if the market price on the currency has risen substantially in the interim. Using Derivatives to Reduce Risk 23
  • 24. Increases financial leverage  Derivative instruments are too complex  Risk of financial distress Risks to Corporations from Financial Derivatives 24
  • 25. Forward Contracts. ◦A one to one bipartite contract, which is to be performed in future at the terms decided today.
  • 26.  Eg: Jay and Viru enter into a contract to trade in one stock on Infosys 3 months from today the date of the contract @ a price of Rs4675/-  Note: Product ,Price ,Quantity & Time have been determined in advance by both the parties.  Delivery and payments will take place as per the terms of this contract on the designated date and place. This is a simple example of forward contract.
  • 27. The key elements of a futures contract are: ◦ Futures price ◦ Settlement or Delivery Date ◦ Underlying (infosys stock)
  • 28. Illustration.  Let us once again take the earlier example where Jay and Viru entered into a contract to buy and sell Infosys shares. Now, assume that this contract is taking place through the exchange, traded on the exchange and clearing corporation/house is the counter- party to this, it would be called a futures contract.
  • 29. Positions in a futures contract  Long - this is when a person buys a futures contract, and agrees to receive delivery at a future date. Eg: Viru’s position  Short - this is when a person sells a futures contract, and agrees to make delivery. Eg: Jay’s Position
  • 30. How does one make money in a futures contract?  The long makes money when the underlying assets price rises above the futures price.  The short makes money when the underlying asset’s price falls below the futures price.  Concept of initial margin  Degree of Leverage = 1/margin rate.
  • 31. Options  An option is a contract giving the buyer the right, but not the obligation, to buy or sell an underlying asset at a specific price on or before a certain date. An option is a security, just like a stock or bond, and is a binding contract with strictly defined terms and properties.
  • 32. Options Lingo  Underlying: This is the specific security / asset on which an options contract is based.  Option Premium: Premium is the price paid by the buyer to the seller to acquire the right to buy or sell. It is the total cost of an option. It is the difference between the higher price paid for a security and the security's face amount at issue. The premium of an option is basically the sum of the option's intrinsic and time value.
  • 33.  Strike Price or Exercise Price :price of an option is the specified/ pre-determined price of the underlying asset at which the same can be bought or sold if the option buyer exercises his right to buy/ sell on or before the expiration day.  Expiration date: The date on which the option expires is known as Expiration Date  Exercise: An action by an option holder taking advantage of a favourable market situation .’Trade in’ the option for stock.
  • 34.  Exercise Date: is the date on which the option is actually exercised.  European style of options: The European kind of option is the one which can be exercised by the buyer on the expiration day only & not anytime before that.  American style of options: An American style option is the one which can be exercised by the buyer on or before the expiration date, i.e. anytime between the day of purchase of the option and the day of its expiry.
  • 35. Asian style of options: these are in-between European and American. An Asian option's payoff depends on the average price of the underlying asset over a certain period of time.  Option Holder  Option seller/ writer  Call option: An option contract giving the owner the right to buy a specified amount of an underlying security at a specified price within a specified time.  Put Option: An option contract giving the owner the right to sell a specified amount of an underlying security at a specified price within a specified time
  • 36. In-the-money: For a call option, in-the- money is when the option's strike price is below the market price of the underlying stock. For a put option, in the money is when the strike price is above the market price of the underlying stock. In other words, this is when the stock option is worth money and can be turned around and exercised for a profit.
  • 37. ◦ Intrinsic Value: The intrinsic value of an option is defined as the amount by which an option is in-the- money, or the immediate exercise value of the option when the underlying position is marked-to-market.  For a call option: Intrinsic Value = Spot Price - Strike Price  For a put option: Intrinsic Value = Strike Price - Spot Price
  • 38. Example of an Option  Elvis and crocodiles.
  • 39. Positions  Long Position: The term used when a person owns a security or commodity and wants to sell. If a person is long in a security then he wants it to go up in price.  Short position: The term used to describe the selling of a security, commodity, or currency. The investor's sales exceed holdings because they believe the price will fall.
  • 40. Profit/Loss Profile of a Long call Position Profit 0 Price of 100 103 Asset XYZ -3 at Option Price = Rs3 expira Loss tion Strike Price = Rs100 Time to expiration = 1month
  • 41. Profit /Loss Profile for a Short Call Position Profit +3 Price of the 0 Asset XYZ at 100 103 expiration Initial price of the asset = Rs100 Option price= Rs3 Strike price = Rs100 Loss Time to expiration = 1 month
  • 42. Profit/Loss Profile for a Long Put Position Profit Price of 0 the Asset 98 100 XYZ at expiration -2 Initial price of the asset XYZ = Rs100 Option Price = Rs2 Loss Strike price = Rs100 Time to expiration = 1 month
  • 43. Profit/Loss Profile for a Short Put Position Profit +2 Price of the Asset 0 XYZ at expiration 94 100 Initial price of the asset XYZ = Rs100 Option Price = Rs2 Loss Strike price = Rs100 Time to expiration = 1 month
  • 44. Summary  The profit and loss profile for a short put option is the mirror image of the long put option. The maximum profit from this position is the option price. The theoritical maximum loss can be substantial should the price of the underlying asset fall.  Buying calls or selling puts allows investor to gain if the price of the underlying asset rises; and selling calls and buying puts allows the investors to gain if the price of the underlying asset falls.
  • 45. Long Call Short Put Price rises Price Falls Long Put Short Call
  • 46. Stock Index Option  Trading in options whose underlying instrument is the stock index.  Here if the option is exercised, the exchange assigned option writer pays cash to the options buyer. There is no delivery of any stock.  Dollar Value of the underlying index = Cash index value * Contract multiple.  The contract multiple for the S&P100 is $100. So, for eg, if the cash index value for the S&P is 720,then dollar value will be $72,000
  • 47.  For a stock option, the price at which the buyer of the option can buy or sell the stock is the strike price. For an index option, the strike index is the index value at which the buyer of the option can buy or sell the underlying stock index.
  • 48.  For Eg: If the strike index is 700 for an S&P index option, the USD value is $70,000. If an investor purchases a call option on the S&P100 with a strike of 700, and exercises the option when the index is 720, then the investor has the right to purchase the index for $70,000 when the USD value of the index is $72000. The buyer of the call option then receive$2000 from the option writer.
  • 49. Binomial Model for Option Valuation  Current Price of the stock = S  Two possible values it can take next year :- uS or dS ( uS> dS)  Amount B can be borrowed or lent at a rate of r. The interest factor (1+r) may be represented , for sake of simplicity , as R.  d<R<u.  Exercise price is E.
  • 50.  Value of a call option, just before expiration, if the stock price goes up to uS is Cu = Max(uS-E,0)  Value of a call option, just before expiration, if the stock price goes down to dS is Cd = Max(dS-E,0) The value of the call option is C=^S+B ^ = (Cu-Cd)/ S (u-d) B = uCd-dCu/(u-d)R
  • 51. Illustration: S=200, u=1.4, d=.9 E=220 r=0.15 R=1.15 Cu = Max(uS-E,0) = Max(280-220,0)=60 Cd = Max(dS-E,0) = Max(180-220,0)=0 ^=Cu-Cd/(u-d)S = 60/(1.4-.9)200=0.6 B=uCd-dCu/(u-d)R = -0.9(60)/0.5(1.15) = -93.91 (A negative value for B means that funds are borrowed). Thus the portfolio consists of 0.6 of a share plus a borrowing of 93.91( requiring a payment of 93.91(1.15) = 108 after one year. C=^S+B= 0.6*200-93.91 = 26.09
  • 52. Swaps  An agreement between two parties to exchange one set of cash flows for another. In essence it is a portfolio of forward contracts. While a forward contract involves one exchange at a specific future date, a swap contract entitles multiple exchanges over a period of time. The most popular are interest rate swaps and currency swaps.
  • 53. Counter Party Counter Party LIBOR A B Fixed Rate of 12% Rs50,00,00,000.00 – Notional Principle Interest Rate Swap ‘A’ is the fixed rate receiver and variable rate payer. ‘B’ is the variable rate receiver and fixed rate payer.
  • 54. The only Rupee exchanged between the parties are the net interest payment, not the notional principle amount.  In the given eg A pays LIBOR/2*50crs to B once every six months. Say LIBOR=5% then A pays be 5%/2*50crs= 1.25crs  B pays A 12%/2*50crs=3crs  The value of the swap will fluctuate with market interest rates.  If interest rates decline fixed rate payer is at a loss, If interest rates rise variable rate payer is at a loss. Conversely if rates rise fixed rate payer profits and floating rate payer looses.