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4 August, 14:47

You won a raffle while you were down the shore with friends. For your prize, you can choose among the following three alternatives. If you believe that an 6% return is the appropriate discount rate to use, what is the present value of each alternative? Which should you prefer?

a) $15,000 six years from today

b) $10,000 today

c) $4,000 today plus four annual payments of $2,000, the first of which would occur one year from today

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  1. 4 August, 18:24
    0
    You should prefer alternative C.)

    Explanation:

    a.)

    FV = 15,000

    N = 6

    I/Y = 6%

    PMT = 0

    then CPT PV = $10,574.41

    b.)

    PV of $10,000 today is just = $10,000

    c.)

    FV = 0

    N = 4

    I/Y = 6%

    PMT = 2,000

    then CPT PV = $6,930.21

    Add the $4,000 received today; $4,000 + $6,930.21 = $10,930.21

    Therefore, you should prefer alternative C.)
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