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30 September, 04:30

Andrew decides to wait until age 65 to begin receiving social security benefits. find the present value of his estimated $26,000 per year in payment assuming 6% per year and payment until his 90th birthday.

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  1. 30 September, 07:04
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    We can solve this problem by using the formula for finding the present value given the annuity values. The formula is given as:

    P = A * [ (1 + i) ^n - 1] / i (1 + i) ^n

    Where,

    P = present value of the annuity

    A = the annuity value = $26,000

    i = interest rate = 0.06

    n = number of years = 90 - 65 = 25

    Substituting the given values to the equation:

    P = 26,000 * [ (1 + 0.06) ^25 - 1] / 0.06 (1 + 0.06) ^25

    P = 26,000 * 12.783356183

    P = $332,367.26

    Therefore the present value of his social security benefits will be about $332,367.26
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