Exam 7: Futures and Options on Foreign Exchange

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Comparing "forward" and "futures" exchange contracts,we can say that

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

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With regard to trading costs,

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The one-step binomial model assumes that at the end of the option period,the call will have appreciated to SuT = S0u or depreciated to SdT = S0d.How is u calculated?

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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 is the effect of an increase in r?

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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 percent (i.e.,each euro will buy 25 percent more pounds)or weaken by 20 percent. Big hint: don't round,keep exchange rates out to at least 4 decimal places. spotRates Risk-treeRates (\ /) \ 1.60=1.00 i\ 3.00\% \ /£) \ 2.00=£1.00 i4.00\% /£) 1.25=£1.00 i£4.00\% USING RISK NEUTRAL VALUATION,find the value of the call (in pounds)

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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 percent (i.e.,each euro will buy 25 percent more pounds)or weaken by 20 percent. Big hint: don't round,keep exchange rates out to at least 4 decimal places. spotRates Risk-treeRates (\ /) \ 1.60=1.00 i\ 3.00\% \ /£) \ 2.00=£1.00 i4.00\% /£) 1.25=£1.00 i£4.00\% If the call finishes out-of-the-money what is your portfolio cash flow?

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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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Yesterday,you entered into a futures contract to sell €75,000 at $1.79 per €.Your initial performance bond is $1,500 and your maintenance level is $500.At what settle price will you get a demand for additional funds to be posted?

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Yesterday,you entered into a futures contract to buy €62,500 at $1.50 per €.Suppose the futures price closes today at $1.46.How much have you made/lost?

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Find the input d1 of the Black-Scholes price 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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Empirical tests of the Black-Scholes option pricing formula

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Exercise of a currency futures option results in

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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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Comparing "forward" and "futures" exchange contracts,we can say that

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Find the value of a call option written on €100 with a strike price of $1.00 = €1.00.In one period,there are two possibilities: the exchange rate will move up by 15 percent or down by 15 percent .The U.S.risk-free rate is 5 percent over the period.The risk-neutral probability of dollar depreciation is 2/3 and the risk-neutral probability of the dollar strengthening is 1/3. Find the value of a call option written on €100 with a strike price of $1.00 = €1.00.In one period,there are two possibilities: the exchange rate will move up by 15 percent or down by 15 percent .The U.S.risk-free rate is 5 percent over the period.The risk-neutral probability of dollar depreciation is <sup>2</sup>/<sub>3</sub> and the risk-neutral probability of the dollar strengthening is <sup>1</sup>/<sub>3</sub>.

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

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Consider this graph of a call option.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 this graph of a call option.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. spotRates Risk-treeRates (\ /) \ 1.60=1.00 i\ 3.00\% \ /£) \ 2.00=£1.00 i4.00\% /£) 1.25=£1.00 i£4.00\% 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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