Question
You are running the trading desk at a large, high-grade investment bank. You have the following rates available to you: Spot Dollar/Yen Exchange Rate 113.68
You are running the trading desk at a large, high-grade investment bank. You have the following rates available to you:
Spot Dollar/Yen Exchange Rate 113.68 Japanese Yen/$
3-month Forward Dollar/Yen Rate 113.11 Japanese Yen/$
3-month US (dollar) Risk-free Interest Rate 3.50%
Assume that there are no transaction costs, and that you can either
buy or sell at these exchange rates. Also, the interest rates above are
quoted in annualized, continuously-compounded form, and are the same
for borrowing or lending.
(a) What must the 3-month Japanese (yen) interest rate (annualized, c.c.) be
for there to be no arbitrage?
(b) Suppose that the annualized, continuously compounded 3-month Yen
interest rate is 1.0%. Describe exactly what transactions you would
undertake at these prices/rates to lock in an arbitrage profit.
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