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25 February, 08:53

Assume that you are offered an annuity that pays $100 at the end of each year for 10 years. You could earn 8% on your money in other investments with equal risk. What is the most you should pay for the annuity

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  1. 25 February, 09:55
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    The annuity is worth $671.01

    Explanation:

    Giving the following information:

    Cash flow = $100

    The number of years = 10 years.

    Interest rate = 8%

    To calculate the value of the annuity, we need to calculate the present value.

    First, we need to calculate the final value:

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

    A = annual cash

    FV = {100*[ (1.08^10) - 1]} / 0.08

    FV = $1,448.66

    Now, the present value:

    PV=FV / (1+i) ^n

    PV = 1,448.66 / (1.08^10)

    PV = $671.01
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