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2. What is the present worth of a series of equal end-of-quarter payments of $1,500 if the series extends over a period of ei
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Answer #1

Amount = $ 1,500

Interest rate, i = 9% per annum compounded monthly

Effective rate, r = (1+3×0.09/12)3 - 1 = 0.02266917

Rate = 2.266917% per quarter

Time, n = 8 years = 8 × 4 = 32 quarters

The present worth of the given cash flow stream can be written as

PW = 1,500(P/A,2.266917%, 32)

PW = 1,500 × 22.58301

PW = $ 33,874.53

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