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3 December, 07:45

Lucky lou has just won the lottery and will receive an annual payment of $100,000 every year for the next 20 years. if the annual interest rate is 8%, what is the present value of the winnings?

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  1. 3 December, 07:51
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    PV = A*[1 - (1+r) ^-n]/r

    A = annual payment = $100,000

    r = Interest rate = 8% = 0.08

    n = Number of year = 20

    PV = present value of the earnings

    Therefore,

    PV = 100,000*[1 - (1+0.08) ^-20]/0.08 = $981,814.74
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