Exam 7: Futures and Options on Foreign Exchange

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Open interest in currency futures contracts

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The "open interest" shown in currency futures quotations is

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Today's settlement price on a Chicago Mercantile Exchange (CME)Yen futures contract is $0.8011/¥100.Your margin account currently has a balance of $2,000.The next three days' settlement prices are $0.8057/¥100,$0.7996/¥100,and $0.7985/¥100.(The contractual size of one CME Yen contract is ¥12,500,000).If you have a long position in one futures contract,the changes in the margin account from daily marking-to-market,will result in the balance of the margin account after the third day to be

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The Black-Scholes option pricing formulae

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Find the input d1 of the Black-Scholes price of a six-month call option written on €100,000 with a strike price of $1.00 = €1.00.The current exchange rate is $1.25 = €1.00; The U.S.risk-free rate is 5% over the period and the euro-zone risk-free rate is 4%.The volatility of the underlying asset is 10.7 percent.

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The same call from the last question (a 1-period call option on €10,000 with a strike price of $12,500.could also be thought of as a 1-period at-the-money put option on $12,500 with a strike price of €10,000. As before,the spot exchange rate is €1.00 = $1.25.In the next period,the euro can increase in dollar value to $2.00 or fall to $1.00.The interest rate in dollars is i$ = 27.50%; the interest rate in euro is i€ = 2%. Draw the binomial tree for this put option.

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Suppose that you have written a call option on €10,000 with a strike price in dollars.Suppose further that the hedge ratio is ½.Which of the following would be an appropriate hedge for a short position in this call option?

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If you think that the dollar is going to appreciate against the euro,you should

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Three days ago,you entered into a futures contract to sell €62,500 at $1.50 per €.Over the past three days the contract has settled at $1.50,$1.52,and $1.54.How much have you made or lost?

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For European currency options written on euro with a strike price in dollars,what of the effect of an increase in the exchange rate S($/€)?

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For European options,what of the effect of an increase in the strike price E?

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For European currency options written on euro with a strike price in dollars,what of the effect of an increase in r$ relative to r€?

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Which equation is used to define the futures price?

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Use the binomial option pricing model to find the value of a call option on £10,000 with a strike price of €12,500. The current exchange rate is €1.50/£1.00 and in the next period the exchange rate can increase to €2.40/£ or decrease to €0.9375/€1.00 . The current interest rates are i€ = 3% and are i£ = 4%. Choose the answer closest to yours.

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Which of the follow options strategies are consistent in their belief about the future behavior of the underlying asset price?

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For an American call option,A and B in the graph are For an American call option,A and B in the graph are

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Find the value today of your replicating today portfolio in euro.

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Find the value of a one-year call option on €10,000 with a strike price of $15,000.In one year the exchange rate (currently S0($/€)= $1.50/€)can increase by 60% or decrease by 37.5% .The current one-year interest rate in the U.S.is i$ = 4% and the current one-year interest rate in the euro zone is i€ = 4%.

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The current spot exchange rate is $1.55 = €1.00 and the three-month forward rate is $1.60 = €1.00.Consider a three-month American call option on €62,500 with a strike price of $1.50 = €1.00.If you pay an option premium of $5,000 to buy this call,at what exchange rate will you break-even?

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If a currency futures contract (direct quote)is priced below the price implied by Interest Rate Parity (IRP),arbitrageurs could take advantage of the mispricing by simultaneously

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