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10 April, 06:24

Consider the following annuities: Annuity A requires payments of $150 per month for ten years, and at the end of ten years has a total balance of $21,000. Annuity B requires annual payments of $1,000 for twelve years and has a total balance of $16,000 at the end of the 12 year term. Annuity C requires monthly payments of $100 for thirty years, and at the end of the thirty-year term has a total balance of $41,000. Which annuity paid out the most interest over its respective term?

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  1. 10 April, 09:53
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    C paid out he most nominal interest: 6,000

    B is the annuity which give a better return as it generate on average 500 interest per year.

    Explanation:

    For the total interest we will calcualte the total contribution and subtract it from the total balance ofthe annuity

    A:

    150 per month x 12 month x 10 year = 18,000

    21,000 - 18,000 = 3,000 interest

    3,000 / 10 = 300 interest per year

    B:

    1,000 per year x 12 year = 12,000

    16,000 - 12,000 = 4,000 interest

    4,000 / 12 = 500 interest per year

    C: 100 x 12 months x 30 years = 36,000

    41,000 - 36,000 = 5,000

    5,000 / 30 = 166,66 per year
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