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26 March, 09:17

A company must repay the bank a single payment of $24,000 cash in 4 years for a loan it entered into. The loan is at 8% interest compounded annually. The present value of 1 (single sum) at 8% for 4 years is. 7350. The present value of an annuity (series of payments) at 8% for 4 years is 3.3121. The present value of the loan (rounded) is

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  1. 26 March, 09:30
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    The multiple choices are:

    $23,020.

    $29,000.

    $36,547.

    $11,253.

    $17,640

    The last option $17,640 is the correct answer

    Explanation:

    The present value which is also known as present worth is the today's worth of a future value or amount.

    In this case, since $24,000 is to be repaid in 4 years' time, the task is to determine how much the company receives from the bank today, which is the today's equivalent amount of the loan.

    Present value of the loan=future value*present value of a single sum at 8% for 4 years (i. e 0.7350)

    present value of the loan=$24,000*0.7350=$17640
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