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23 January, 23:51

You're trying to save to buy a new $199,000 Ferrari. You have $49,000 today that can be invested at your bank. The bank pays 5.7 percent annual interest on its accounts.

How long will it be before you have enough to buy the car?

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  1. 24 January, 02:38
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    It will take 25.28 year to have enough to buy the car (ignoring Inflation effect)

    Explanation:

    Current Deposit = PV = $49,000

    Future Value = FV = $199,000

    Interest Rate = r = 5.7%

    Use following Formula

    FV = PV (1 + r) ^n

    $199,000 = $49,000 (1 + 0.057) ^n

    $199,000 / $49,000 = (1 + 0.057) ^n

    4.06 = 1.057^n

    Log 4.06 = n log 1.057

    n = log 4.06 / log 1.057

    n = 25.28

    it requires 25.28 year to have an amount to buy the Ferrari.
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