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13 June, 17:44

Terry's father loaned her $15,000 for college expenses. Terry agreed to repay the $15,000 in a lump sum 5 years after graduation. No interest was to be charged. Terry, who is now a senior, has the prospects of marrying a rather wealthy man and wishes to repay the loan on graduation day. Assuming that father can invest the money at 12% interest, how much should he be willing to accept on graduation day rather than waiting 5 years for his money

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  1. 13 June, 18:45
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    PV = $8,511.40

    Explanation:

    Giving the following information:

    Final value = 15,000

    Number of years = 5 years

    Interest rate = 12%

    We need to calculate the present value of the $15,000. We will use the following formula:

    FV = PV * (1+i) ^n

    Isolating PV:

    PV = FV / (1+i) ^n

    PV = 15,000/1.12^5

    PV = $8,511.40
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