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Suppose you sign a swap agreement with a large bank (LB) to buy 100, 000 Japanese-Yen each year for the next five years for X

Suppose you sign a swap agreement with a large bank (LB) to buy 100, 000 Japanese-Yen each year for the next five years for XUS-Dollars. Your first payment is in one year, your second payment is in two years, ..., and your fifth and last payment is in five years.

The current exchange rate is 100 Yen per Dollar; i.e. S0 = US-Dollar 0.01/Japanese-Yen (treating the Japanese Yen as the asset). Suppose the yields on 1-year, 2-year, 3-year, 4-year, and 5-year U.S. zero discount bonds are 1%, 2%, 3%, 4%, and 5% (annualized). The yield on a 1-year zero discount Japanese bond is 1%. The yield curve on Japanese bonds is flat. Assume that all interest rates are continuously compounded.

  1. What are the forward prices in Dollar per Yen of forward contracts with maturity in one, two, three, four, and five years from now (round to the sixth decimal point)?
  2. What is the swap price X?

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