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19 January, 02:20

You have just received notification that you have won the $1.4 million first prize in the lottery. However, the prize will be awarded on your 100th birthday, 70 years from now. (Wow, you're older than I generally think!) The appropriate discount rate is 8%. What is the present value of your winnings? a. $4,288.16

b. $6,404.20

c. $15,309.91

d. $23,333.33

e. $25,000.00

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  1. 19 January, 02:26
    0
    b. $6,404.20

    Explanation:

    Value of prize = $1.4 million = $1,400,000

    Amount to be received in years = 70 years

    Interest Rate = 8%

    Future value = Present value x (1 + interest rate) ^-number of years

    FV = PV x (1 + r) ^n

    1,400,000 = PV (1 + 0.08) ^70

    1,400,000 = PV (1.08) ^70

    1,400,000 / (1.08) ^70 = PV

    PV = $6404.20

    So The present value of the winning is $6,404.20.
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