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17 July, 23:04

a retirement plan guarantees to pay you a fixed amount for 25 years. at the time of retirement, you will have $100,000 to your credit in the plan. the plan anticipates earning 7% interest annually over the period you receive benefits. assume the first payment occurs one year from your retirement date, how much will your annual benefits be

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  1. 17 July, 23:06
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    The annual benefits will be$8,581.05

    Explanation:

    The applicable formula is the present value of an ordinary annuity, which is given as;

    PV=A * (1 - (1+r) ^-N) / r

    PV is the amount that would be in the plan at retirement which is $100,000

    A is the annual benefits which is unknown

    n is the number of years the investment would take which is 25 years

    r is the rate of return on investment which is 7%

    A=PV / (1 - (1+r) ^-N) / r

    A=100000 / (1 - (1+7%) ^-25/7%

    A=100000/1 - (1.07) ^-25/0.07

    A=100000 / (1-0.184249178) / 0.07

    A=100000/11.65358317

    A=$8581.05
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