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6 December, 00:15

Suppose you bought a 25-year annuity of $8,500 per year at the current discount rate of 9 percent per year. a. What is the value of your annuity today

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  1. 6 December, 00:44
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    The annuity is worth $83,419.93.-

    Explanation:

    Giving the following information:

    Suppose you bought a 25-year annuity of $8,500 per year at the current discount rate of 9 percent per year.

    First, we need to calculate future value. We will use the following formula:

    FV = {A*[ (1+i) ^n-1]}/i

    A = cash flow

    FV = {8,500*[ (1.09^25) - 1]} / 0.09

    FV = $719,957.62

    Now, the present value:

    PV=FV / (1+i) ^n

    PV = 719,957.62 / (1.09^25)

    PV = $83,419.93
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