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12 October, 14:09

Granny puts $35,000 into a bank account earning 4%. You can't withdraw the money until the balance has doubled. How long will you have to leave the money in the account

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  1. 12 October, 15:30
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    It will take 17 years and 245 days.

    Explanation:

    Giving the following information:

    Granny puts $35,000 into a bank account earning 4%. You can't withdraw the money until the balance has doubled.

    We need to find the number of years required to achieve $70,000.

    We will use a variation of the final value formula:

    FV = PV * (1+i) ^n

    Isolating n:

    n=[ln (FV/PV) ]/ln (1+r)

    n = [ln (70,000/35,000) ] / ln (1.04) = 17.67

    To be more accurate:

    0.67*365 = 245 days

    It will take 17 years and 245 days.
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