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10 May, 11:07

You can buy or sell the £ spot at $1.98 to the pound. You can buy or sell the pound one-year forward at $2.01 to the pound. If U. S. annual interest rates are 5 percent, what must be the approximate one-year British interest rate if interest rate parity holds?

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  1. 10 May, 12:16
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    X = 3.45%

    Explanation:

    Data provided

    One year future exchange rate = $2.01

    Spot exchange rate = $1.98

    Interest rate is USA = 5%

    The computation of British interest rate is shown below:-

    Assume Interest rate in UK = X%

    One year future exchange rate = Spot exchange rate * (1 + Interest rate is USA) : (1 + X%)

    $2.01 = $1.98 * (1 + 5%) : (1 + X%)

    $2.01 : $1.98 = (1 + 5%) : (1 + X%)

    (1 + X%) = 1.05 : 1.01515

    X = 3.45%
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