Exam 7: Futures and Options on Foreign Exchange

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Suppose the futures price is below the price predicted by IRP.What steps would assure an arbitrage profit?

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Find the hedge ratio for a put option on €10,000 with a strike price of $15,000.In one period the exchange rate (currently S($/€)= $1.50/€)can increase by 60% or decrease by 37.5% .

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What paradigm is used to define the futures price?

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An "option" is

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Consider an option to buy £10,000 for €12,500. In the next period, if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent. On the other hand, the euro could depreciate against the pound by 20 percent. Big hint: don't round, keep exchange rates out to at least 4 decimal places. Consider an option to buy £10,000 for €12,500. In the next period, if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent. On the other hand, the euro could depreciate against the pound by 20 percent. Big hint: don't round, keep exchange rates out to at least 4 decimal places.   -USING RISK NEUTRAL VALUATION (i.e.the binomial option pricing model)find the value of the call (in euro). -USING RISK NEUTRAL VALUATION (i.e.the binomial option pricing model)find the value of the call (in euro).

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Find the dollar value today of a 1-period at-the-money call option on ¥300,000.The spot exchange rate is ¥100 = $1.00.In the next period,the yen can increase in dollar value by 15 percent or decrease by 15 percent.The risk free rate in dollars is i$ = 5%; The risk free rate in yen is i¥ = 1%.

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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 short 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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Draw the tree for a call option on $20,000 with a strike price of £10,000.The current exchange rate is £1.00 = $2.00 and in one period the dollar value of the pound will either double or be cut in half.The current interest rates are i$ = 3% and are i£ = 2%.

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Verify that the dollar value of your put option equals the dollar value of your call. Your answer is worth zero points if it does not include currency symbols ($,€)!

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State the composition of the replicating portfolio; your answer should contain "trading orders" of what to buy and what to sell at time zero.

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Consider the graph of a call option shown at right.The option is a three-month American call option on €62,500 with a strike price of $1.50 = €1.00 and an option premium of $3,125.What are the values of A,B,and C,respectively? Consider the graph of a call option shown at right.The option is a three-month American call option on €62,500 with a strike price of $1.50 = €1.00 and an option premium of $3,125.What are the values of A,B,and C,respectively?

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Consider an option to buy £10,000 for €12,500. In the next period, if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent. On the other hand, the euro could depreciate against the pound by 20 percent. Big hint: don't round, keep exchange rates out to at least 4 decimal places. Consider an option to buy £10,000 for €12,500. In the next period, if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent. On the other hand, the euro could depreciate against the pound by 20 percent. Big hint: don't round, keep exchange rates out to at least 4 decimal places.   -Calculate the current €/£ spot exchange rate. -Calculate the current €/£ spot exchange rate.

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Consider an option to buy €12,500 for £10,000. In the next period, the euro can strengthen against the pound by 25% (i.e. each euro will buy 25% more pounds) or weaken by 20%. Big hint: don't round, keep exchange rates out to at least 4 decimal places. Consider an option to buy €12,500 for £10,000. In the next period, the euro can strengthen against the pound by 25% (i.e. each euro will buy 25% more pounds) or weaken by 20%. Big hint: don't round, keep exchange rates out to at least 4 decimal places.   -USING RISK NEUTRAL VALUATION find the value of the call (in pounds). -USING RISK NEUTRAL VALUATION find the value of the call (in pounds).

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

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A put option on $15,000 with a strike price of €10,000 is the same thing as a call option on €10,000 with a strike price of $15,000.

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Use the European option pricing formula to find the value of a six-month call option on Japanese yen.The strike price is $1 = ¥100.The volatility is 25 percent per annum; r$ = 5.5% and r¥ = 6%.

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The current spot exchange rate is $1.55 = €1.00; the three-month U.S.dollar interest rate is 2%.Consider a three-month American call option on €62,500 with a strike price of $1.50 = €1.00.What is the least that this option should sell for?

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Consider an option to buy £10,000 for €12,500. In the next period, if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent. On the other hand, the euro could depreciate against the pound by 20 percent. Big hint: don't round, keep exchange rates out to at least 4 decimal places. Consider an option to buy £10,000 for €12,500. In the next period, if the pound appreciates against the dollar by 37.5 percent then the euro will appreciate against the dollar by ten percent. On the other hand, the euro could depreciate against the pound by 20 percent. Big hint: don't round, keep exchange rates out to at least 4 decimal places.   -Draw the binomial tree for this option. -Draw the binomial tree for this option.

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An investor believes that the price of a stock,say IBM's shares,will increase in the next 60 days.If the investor is correct,which combination of the following investment strategies will show a profit in all the choices? (i)- buy the stock and hold it for 60 days (ii)- buy a put option (iii)- sell (write)a call option (iv)- buy a call option (v)- sell (write)a put option

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A CME contract on €125,000 with September delivery

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