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8 September, 12:14

Boretti has $400,000 in a stock fund. The fund pays a 10% return, compounded annually. If he does not make another deposit into the account, how long will it take for the account to increase to $2 million? (Do not round intermediate calculations. Round the final answer to two decimal places.)

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  1. 8 September, 16:07
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    It will take 16.89 years for the account to increase to $2 million

    Explanation:

    Present Value = $400,000

    Nominal annual interest rate = 10% compounded annually

    Future Value = $2,000,000

    Number of compounding periods = ?

    Formula:

    Future Value = Present Value * (1+Nominal annual interest rate) ∧Number of compounding periods

    $2,000,000 = $400,000 * (1+0,1) ∧Time

    We can then proceed to solve the equation:

    16.89
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