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9 August, 10:34

In its first 10 years a mutual fund produced an average annual return of 20.4420.44 %. Assume that money invested in this fund continues to earn 20.4420.44 % compounded annually. How long will it take money invested in this fund to double?

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  1. 9 August, 12:17
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    3.73 years or 4 years approx

    Explanation:

    The computation of the number of years taken for money invested for double is shown below:

    As we know that

    Amount = Principal * (1 + interest rate : time period) ^interest rate * time period

    where,

    We assume the principal be P

    And, the amount is 2P

    And, the other values would remain the same

    So,

    2P = P (1 + 0.2044 : time period) ^ 1 * time period

    2 = (1.2044) ^ time period

    Now take the log both sides

    ln2 = ln (1.2044) ^time period

    ln2 - time period ln (1.2044)

    So,

    time period = ln (2) : ln (1.2044)

    = 3.73 years or 4 years approx
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