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  1. 1. DerivativesManagement
  2. 2. UNIT – 1 INTRODUCTIONDerivatives –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. 3. Definition – “A security whose price is dependentupon or derived from one or moreunderlying assets. The derivative itself ismerely a contract between two or moreparties. Its value is determined byfluctuations in the underlying asset. Themost common underlying assetsinclude stocks,bonds, commodities, currencies, interestrates and market indexes. Mostderivatives are characterized by highleverage”.
  4. 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. 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. 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. 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. 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. 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. 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. 11. It expires on the last Thursday ofevery month. where in equity u can by astock by paying the price at spot. and ucan hold the stock for as much time asmuch u want. long term investments are done inequity shares we can do short termtrading also but in derivatives we can doonly short term trading which can last formaximum 3 months. There are other options also inderivatives like call , put ,forward options
  12. 12. Growth of Derivatives Market Analytical techniques Technology Globalization 12
  13. 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. 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. 15.  Liquidity RiskThe inability of a firm to arrange a transaction at prevailing market prices is termed as liquidity risk. A firm faces two types of liquidity risksRelated to liquidity of separate productsRelated 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. 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. 17. Derivative Instruments. Forward contracts Futures ◦ Commodity ◦ Financial (Stock index, interest rate & currency ) Options ◦ Put ◦ Call Swaps. ◦ Interest Rate ◦ Currency
  18. 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. 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. 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. 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. 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. 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. 24.  Increases financial leverage Derivative instruments are too complex Risk of financial distressRisks to Corporations fromFinancial Derivatives 24
  25. 25. Forward Contracts.◦A one to one bipartite contract, which is to be performed in future at the terms decided today.
  26. 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. 27.  The key elements of a futures contract are: ◦ Futures price ◦ Settlement or Delivery Date ◦ Underlying (infosys stock)
  28. 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. 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. 30. How does one make money ina 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. 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. 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 securitys face amount at issue. The premium of an option is basically the sum of the options intrinsic and time value.
  33. 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. 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. 35.  Asian style of options: these are in-between European and American. An Asian options 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. 36.  In-the-money: For a call option, in-the- money is when the options 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. 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. 38. Example of an Option Elvis and crocodiles.
  39. 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 investors sales exceed holdings because they believe the price will fall.
  40. 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. 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. 42. Profit/LossProfile for a Long Put Position Profit Price of0 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. 43. Profit/Loss Profile for a Short PutPosition 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. 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. 45. Long CallShort Put Price rises Price FallsLong PutShort Call
  46. 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. 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. 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. 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. 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. 51. Illustration:S=200, u=1.4, d=.9 E=220 r=0.15 R=1.15Cu = Max(uS-E,0) = Max(280-220,0)=60Cd = Max(dS-E,0) = Max(180-220,0)=0^=Cu-Cd/(u-d)S = 60/(1.4-.9)200=0.6B=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. 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. 53. Counter Party Counter Party LIBOR A B Fixed Rate of 12% Rs50,00,00,000.00 – Notional PrincipleInterest Rate Swap ‘A’ is the fixed rate receiver and variable rate payer. ‘B’ is the variable rate receiver and fixed rate payer.
  54. 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.