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Assume the current U

Finance Dec 23, 2020

Assume the current U.S. dollar-British spot rate is £0.6134/$. If the current nominal one-year interest rate in the U.S. is 2.5% and the comparable rate in Britain is 3.5%, what is the approximate forward exchange rate for 90 days? £.6119/$ £.6164/$ £.6149/$ £.6104/$ None of the answers are correct
Which of the following statements is correct with respect to interest rate parity? The currency with the lower interest rates will depreciate Interest rates have no effect on exchange rates The currency with the lower interest rate will appreciate None of the above are correct

Expert Solution

Answer;

Part 1)  Option  ? / $ = 0.6149

Part 2) Option - The currency with the lower interest rate will appreciate

Explanation;

Part 1)

Under Interest Rate Parity Theory,

90 Days Forward Rate = Spot Rate x [ ( 1+ home currency rate) / (1 + Foreign currency rate)

here,

Spot rate : ? / $ = 0.6134 or $1 = ? 0.6134

Home currency = ?

Foreign Currency = $

90 days interest rate(US dollar) = 2.5% x 90 Days / 360 Days = 0.625%

90 days interest rate(British pound) = 3.5% x 90 Days / 360 Days = 0.875%

So,

90 Days Forward Rate = 0.6134 x [ ( 1+0.875%) / (1 +0.625%)

90 Days Forward Rate = 0.6134 x 1.00875 / 1.00625

90 Days Forward Rate = 0.61876725 / 1.00625

90 Days Forward Rate = 0.614924 or 0.6149

90 Days Forward Rate =  ? / $ = 0.6149 or $1 = ? 0.6149

Part 2 )

The currency with the lower interest rate will appreciate

Reason -

As per Part 1

interest rate in British is higher than that in the US, the ? will Depriciate against USD.

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