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19 January, 12:01

If Treasury bills are currently paying 6.3 percent and the inflation rate is 1.7 percent, what is the approximate and the exact real rate of interest?

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  1. 19 January, 12:40
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    Given Information:

    Nominal Interest Rate = 6.3 %

    Inflation Rate = 1.7 %

    Required Information:

    approximate real rate of interest?

    exact real rate of interest?

    Answer:

    approximate real rate of interest = 4.6%

    exact real rate of interest = 4.5%

    Explanation:

    Nominal Interest Rate: The interest rate that a person earn or pay on a loan.

    Real Interest Rate: The nominal interest rate after adjusting for inflation.

    Relation between Nominal and Real Interest Rate: The fisher equation

    Real Interest Rate = Nominal Interest Rate - Inflation Rate

    approximate real rate of interest = 6.3% - 1.7% = 4.6%

    exact real rate of interest = (1 + 0.063) / (1 + 0.017) = 1.045 = 4.5%
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