Exam 7: Futures and Options on Foreign Exchange

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

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

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Which of the lines is a graph of the profit at maturity of writing a call option on €62,500 with a strike price of $1.20 = €1.00 and an option premium of $3,125? Which of the lines is a graph of the profit at maturity of writing a call option on €62,500 with a strike price of $1.20 = €1.00 and an option premium of $3,125?

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Yesterday, you entered into a futures contract to buy €62,500 at $1.50/€. Your initial margin was $3,750 (= 0.04 × €62,500 × $1.50/€ = 4 percent of the contract value in dollars). Your maintenance margin is $2,000 (meaning that your broker leaves you alone until your account balance falls to $2,000). At what settle price (use 4 decimal places) do you get a margin call?

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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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What paradigm is used to define the futures price?

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If the call finishes in-the-money what is your portfolio cash flow?

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The volume of OTC currency options trading is

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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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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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Exercise of a currency futures option results in

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Yesterday, you entered into a futures contract to buy €62,500 at $1.50 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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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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With currency futures options the underlying asset is

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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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Calculate the hedge ratio.

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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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