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Foreign Currency Options. Chapter Seven Eiteman, Stonehill, and Moffett. Hedging vs speculation. firms hedge make money on their core competency reduce risk writing a covered option firms do not speculate options are not a core competency speculation tries to make a return from risk.
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Foreign Currency Options Chapter Seven Eiteman, Stonehill, and Moffett Chapter Seven - Derivatives
Hedging vs speculation • firms hedge • make money on their core competency • reduce risk • writing a covered option • firms do not speculate • options are not a core competency • speculation tries to make a return from risk Chapter Seven - Derivatives
Quick review forward contracts • Negotiable contracts • Price, forward rate is contracted • Amount, how much foreign exchange will be exchange for domestic currency • Term, when delivery will be made • Contract is deliverable according to terms • Will not be able to get out of the contract Chapter Seven - Derivatives
Currency futures contracts • standardized contract terms • amount of foreign exchange standardized • $ 100,000 Canadian, £ 62.500, • Peso 500,000, ¥ 12,500,00, Euro 1,000,000 • exchange rate fixed at contract time • delivery dates standardized by the exchange • March, June, September, December • 6 mos Chicago Mercantile Exchange • contracts expire two business days prior to the 3rd Wednesday of the delivery month • Contract is reversible Chapter Seven - Derivatives
Futures contracts • Short position (selling a future) • Fix price to deliver fx @ 1.0337 • To deliver 100,000 cd • Delivery Dec 15, 2007 • Long position (buying a future) • Fix priced to take delivery fx @ 1.0337 • To take delivery 100,000 cd Chapter Seven - Derivatives
Market makers in currency futures • international monetary market (IMM) • London international financial futures exchange (LIFFE) • Chicago Mercantile Exchange • New York mercantile exchange • Singapore international monetary exchange (SIMEX) Chapter Seven - Derivatives
Trading specifics • commissions small (less than 0.5%) • margin requirements typically 2% to 3% contracted amount • both sides of contract guaranteed by exchange • contracts marked to market daily Chapter Seven - Derivatives
long one June euro contract • contracted June delivery of 1,000,000 Euros • spot price 0.9737 / dollar or 0.9737 * 1,000,000 = 973,700 usd at contract • initial margin paid in when contracted • e.g. 2% on Euro contract 20,000 usd • maintenance margin • e.g. 1% on Euro contract 10,000 usd Chapter Seven - Derivatives
marking to market 1st day • e.g. tomorrows settlement price 0.9817 • (0.9817 - 0.9737) * 1,000,000 = 8,000 • futures price is now 0.9817 • long the future (wanting euros) • margin account = 20,000 - 8,000 = 12,000 • short the future (wanting dollars) • margin account = 20,000 + 8,000 = 28,000 Chapter Seven - Derivatives
marking to market 2nd day • e.g., next days settlement price 0.9867 • (0.9867 - 0.9817) * 1,000,000 = 5,000 • futures price is now 0.9867 • long the future (wanting euros) • margin account = 12,000 - 5,000 = 7,000 • margin call - buyer of the future must bump up his margin • short the future (wanting dollars) • margin account = 28,000 + 5,000 = 33,000 Chapter Seven - Derivatives
Futures contract expires (long side of contract) • e.g. last settlement price 1.0017 • net change in margin (1.0017 - 0.9737) * 1,000,000 = 28,000 • final futures price 1.0017 • long the future (wanting euros) • net change in margin account + 28,000 • pays ( -1,001,700 + 28,000) = -973,700 dollars • receives +1,000,000 euros Chapter Seven - Derivatives
Futures contract expires(short side of contract) • last settlement price 1.0017 • net change in margin (0.9737 - 1.0017) * 1,000,000 = -28,000 • final futures price 1.0017 • short the future (wanting dollars) • net change in margin account -28,000 • pays -1,000,000 euros • receives (1,001,777 - 28,000) = 973,700 dollars Chapter Seven - Derivatives
Futures • marking to market reduces(illimanates) default risk • daily resettlement confines risk to one day’s price movements • large daily movements in price will result in • trading halt • margin call during trading halt • trader want to terminate the contract • will take the opposite contract • if long two contracts, will go short two contracts • cost is the interest paid on margins Chapter Seven - Derivatives
Comparison to forwards • forward contracts • flexible • higher default risk • fixed into contract • Must deliver on expiration • futures contracts • standardized • much lower default risk • reversible Chapter Seven - Derivatives
Options - characteristics • American option can be exercised anytime up to the expiration date • European option can only be exercise at the expiration date • in-the-money - option which if exercised will make money • out-of-the-money - option which if exercised will lose money Chapter Seven - Derivatives
Options - types • Call option • option to buy currency • fixed price (exercise price, strike price) • expiration date • Put option • option to sell currency • fixed price (exercise price, strike price) • expiration date Chapter Seven - Derivatives
Over-the-counter Market • written by banks • usd against pounds, euros, cd, yen • usually written in round lots; • 1, 2, 3, 5, 10 million • banks willing to write variable options • amount • exercise (strike) price • maturity date • less liquid than traded option Chapter Seven - Derivatives
Options on organized exchanges • Standardized contracts • amount fixed • maturity dates • Auction markets • Philadelphia exchange • London International Financial Futures Exchange Chapter Seven - Derivatives
Options - over-the-counter Market • written by banks • usd against pounds, euros, cd, yen • usually written in round lots; • 1, 2, 3, 5, 10 million • banks willing to write variable options • amount • exercise (strike) price • maturity date • less liquid than traded option Chapter Seven - Derivatives
Call characteristics • e exchange rate • x exercise price • sdx standard deviation of exchange rate Chapter Seven - Derivatives
Long a call option c Call out of the money when e < x Call in the money when e > x e x Chapter Seven - Derivatives
Short the Call Option Chapter Seven - Derivatives
Market Value of the Call Chapter Seven - Derivatives
Valuation • exercise price (negative) • exchange rate (positive) • volatility (positive) • term to maturity (positive) • risk-free rate of return (positive) Chapter Seven - Derivatives
Value of the Exercised Call Chapter Seven - Derivatives
Long a call option c market value of the call exercised value of the call e x Chapter Seven - Derivatives
Long a put option P Call out of the money when e > x Call in the money when e < x e x Chapter Seven - Derivatives
Short the Put Option Chapter Seven - Derivatives
Market Value of the Put Chapter Seven - Derivatives
Value of the Exercised Put Chapter Seven - Derivatives
Long the Put Option Chapter Seven - Derivatives