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The treasurer of a major U.S. firm has $38 million to invest for three months. T

ID: 2781660 • Letter: T

Question

The treasurer of a major U.S. firm has $38 million to invest for three months. The interest rate in the United States is .26 percent per month. The interest rate in Great Britain is .32 percent per month. The spot exchange rate is £.637, and the three-month forward rate is £.641.

  

What would be the value of the investment if the money is invested in U.S and Great Britain? (Enter your answers in dollars, not in millions of dollars, and round your answers to 2 decimal places, e.g., 1,234,567.89.)

The treasurer of a major U.S. firm has $38 million to invest for three months. The interest rate in the United States is .26 percent per month. The interest rate in Great Britain is .32 percent per month. The spot exchange rate is £.637, and the three-month forward rate is £.641.

Explanation / Answer

Value of the investment = present value*(1+r)^n

Value of the investment in U.S investment = 38*(1+0.0026)^3 = $38297171.31

For U.K investment compute the exchange rate in terms of U.S. dollar, by using spot rate and covert back using forward rate after three months.

Value of investment in U.K. investment = 38(0.637/1)*(1+0.0032)^3*(1/0.641) = $38126555.38