Exam 7: Futures and Options on Foreign Exchange

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Open interest in currency futures contracts

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For European options, what of the effect of an increase in St?

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You have written a call option on £10,000 with a strike price of $20,000. The current exchange rate is $2.00/£1.00 and in the next period the exchange rate can increase to $4.00/£1.00 or decrease to $1.00/€1.00 . The current interest rates are i$ = 3% and are i£ = 2%. Find the hedge ratio and use it to create a position in the underlying asset that will hedge your option position.

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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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Which of the following is correct?

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Find the risk neutral probability of an "up" move.

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An "option" is

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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$?

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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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A currency futures option amounts to a derivative on a derivative. Why would something like that exist?

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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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Calculate the current €/£ spot exchange rate.

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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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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. For this option to be considered at-the-money, the strike price must be

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Find the dollar value today of a 1-period at-the-money call option on €10,000. 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%.

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Use your results from the last three questions to verify your earlier result for the value of the call.

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Which of the following is correct?

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USING RISK NEUTRAL VALUATION (i.e. the binomial option pricing model) find the value of the call (in euro).

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Calculate the hedge ratio.

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Draw the tree.

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