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    LIKETOEAT02's Avatar
    LIKETOEAT02 Posts: 1, Reputation: 1
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    #1

    Apr 26, 2009, 09:49 AM
    Present Value
    Jack Hammer invests in stock that will pay dividends of $2.00 at the end of the first year; $2.20 at the end of the second year; and $2.40 at the end of the third year. Also, he believes that at the end of the third year he will be able to sell the stock for #33.00. What is the present value of all future benefits if a discount rate of 11 percent is applied? (round all values to two places to the right of the decimal point.)
    Zazonker's Avatar
    Zazonker Posts: 126, Reputation: 19
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    #2

    Apr 26, 2009, 04:06 PM
    Let p1 = payment at the end of year 1
    p2 = payment at the end of year 2
    p3 = payment at the end of year 3
    d = discount
    With payments at year end, the formula simplifies to:
    pv = p1/(1+d) +p2/(1+d)^2+p3/(1+d)^3
    This is derived from the standard interest formula
    fv = pv (1 +r) ^ n
    where r is the rate per period and n is the number of periods

    Applying the formula to your problem:

    pv = 2/(1+.11) + 2.2/(1+.11)^2 + 2.4/(1+.11)^3 + 33/(1+.11)^3
    pv = 1.80 + 1.79 + 1.75 + 24.13
    pv = 29.47

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