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2 April, 09:30

ou may pay $15,000 for an annuity that pays $2500 per year for the next 10 year. You want a real rate of return of 5%, and you estimate inflation will average 6% per year what is the annual cost to own this annuity

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  1. 2 April, 12:42
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    The annual cost to have this annuity is 16.66%

    Explanation:

    Solution

    Given that

    You pay an annuity of = $15,000

    Annuity pays = $2500 per year

    n = 10 years

    The rate of return = 5%

    The estimated inflation is - 6% average

    Now

    We find the annual cost to own this annuity

    Thus

    We find the real or actual yield given as:

    I = PNR

    $2500 = $15,000 * 1 * r

    So,

    R=$2500/$15,000

    =0.1666 or 16.66 %
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