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10 January, 22:06

Peter Lynchpin wants to sell you an investment contract that pays equal $22,500 amounts at the end of each of the next 20 years. If you require an effective annual return of 8 percent on this investment, how much will you pay for the contract today?

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  1. 10 January, 22:08
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    The amount to be paid for the contract today = $220,908.32

    Explanation:

    The amount to be paid for the contract today will be equal to the present value of the annuity of $22,500 payable for 20 years discounted at a rate of 8% per annum.

    Present Value = A * (1 - (1+r) ^ (-n)) / r

    A - 22,500, r - rate of return - 8%, n - no of years 20 years

    PV = 22,500 * (1 - (1.08) ^ (-20)) / 0.08

    PV = 22,500 * 9.8181

    PV = $220,908.32

    The amount to be paid for the contract today = $220,908.32
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