Question

The treasurer of a major U.S. firm has $29 million to invest for three months. The interest rate in the United States is .29 percent per month. The interest rate in Great Britain is .33 percent per month. The spot exchange rate is £.629, and the three-month forward rate is £.632. What would be the value of the investment if the money is invested in the U.S. and in Great Britain?

Answer 1

Check the following calculations.

Step-by-step explanation:

The U.S. firm has $29 million

Investment is for three months

And the interest rate in the United States is .29 percent per month

The value of the investment if the money is invested in U.S

= $29 million *(1+ 0.29%) ^3

= $29.2530 million

The interest rate in Great Britain is .33 percent per month.

The spot exchange rate is £.629

And the three-month forward rate is £.632.

The value of the investment if the money is invested in Great Britain

Value after spot exchange = $29 million *(£.629/$1) = £ 18.241 million

Value after three months interest earning = £ 18.241*(1+0.33%) ^3

= £ 18.4222 million

Exchanging again in US $ after 3 months

= £ 18.4222 *($1/£ .632) = $29.1490 million

Therefore the value of the investment if the money is invested in Great Britain is $29.1490 million.

The value of investment will be more if the money is invested in U.S.