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3 February, 16:43

An investment offers $4,350 per year for 15 years, with the first payment occurring one year from now. a. If the required return is 6 percent, what is the value of the investment? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) b. What would the value be if the payments occurred for 40 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) c. What would the value be if the payments occurred for 75 years? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) d. What would the value be if the payments occurred forever? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

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  1. 3 February, 17:01
    0
    Instructions are listed below

    Explanation:

    Giving the following information:

    For this exercise, we need to find the present value of an investment using the following formula:

    PV = ∑[Ct / (1+i) ^n]

    Ct = annual payment

    i = 0.06

    1) n = 15

    PV = $42,248.29

    2) n = 40

    PV = $65,451.39

    3) n = 75

    PV = 71,582.94

    4) For a perpetual annuity we need to use the following formula:

    PV = Ct/i = 4350/0.06 = $72,500
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