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25 July, 20:36

An engineer who is now 65 years old began planning for retirement 40 years ago. At that time, he thought that if he had $1 million when he retired, he would have more than enough money to live his remaining life in luxury. Assume the inflation rate over the 40-year time period averaged a constant 4.1% per year. a) What is the CV purchasing power of his $1 million at age 65

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  1. 25 July, 21:05
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    The CV purchasing power of his $1,000,000 at age 65 is $200,433.74

    Explanation:

    The constant-value (CV) purchasing power of the $1 million is calculated using the following formula:

    Current dollars = Future dollars / (1 + f) ^n where

    f = average inflation rate = 4.1% per year = 0.041

    n = time period = 40 years

    Future dollars = $1,000,000

    Substituting these values in the above formula:

    Current dollars = $1,000,000 / (1 + 0.041) ^40

    = $1,000,000 / 4.989

    = $200,433.74

    Hence, the CV purchasing power of his $1,000,000 at age 65 is $200,433.74.
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