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## Q. 21.FSE.6

Assume that interest rate parity exists and it will continue to exist in the future. The U.S. and Mexican interest rates are the same regardless of the maturity of the interest rate, and they will continue to be the same in the future. Tucson Co. and Phoenix Co. will each receive 1 million Mexican pesos in 1 year and will receive 1 million Mexican pesos in 2 years. Today, Tucson uses a 1-year forward contract to hedge its receivables that will arrive in 1 year. Today it also uses a 2-year forward contract to hedge its receivables that will arrive in 2 years.

Phoenix uses a 1-year forward contract to hedge the receivables that will arrive in 1 year. A year from today, Phoenix will use a 1-year forward contract to hedge the receivables that will arrive 2 years from today. The Mexican peso is expected to consistently depreciate substantially over the next 2 years.
Will Tucson receive more, less, or the same amount of dollars as Phoenix? Explain.

## Verified Solution

Tucson will receive more cash flows. The 1-year and 2-year forward rates today are equal to today’s spot rate. Thus, it hedges receivables at the same exchange rate as today’s spot rate. Phoenix also hedges the receivables 1 year from now at that same exchange rate. But 1 year from now, it will hedge the receivables in the following year. In 1 year, the spot rate will be lower, so the 1-year forward rate at that time will be lower than today’s forward rate. Thus, the receivables in 2 years will convert to a smaller amount of dollars for Phoenix than for Tucson.