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14 February, 18:34

Suppose that an insurance agent offers you a policy that will provide you with a yearly income of $73,000 in 30 years. What is the comparable annual salary today, assuming an annual inflation rate of 4% (compounded annually) ? (Round your answer to the nearest cent.)

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  1. 14 February, 18:56
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    Comparable annual salary today is $22,507.26

    Step-by-step explanation:

    Data provided in the question:

    Yearly income = $73,000

    Time period, n = 30 years

    Annual inflation rate = 4% = 0.04

    Now,

    Using the compounding formula, we have

    Future value = Present value * (1 + rate of inflation) ⁿ

    or

    $73,000 = Present value * (1 + 0.04) ³⁰

    or

    $73,000 = Present value * 3.243

    or

    Present value = $22,507.26

    Hence,

    Comparable annual salary today is $22,507.26
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