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finance

An increasing perpetuity makes payments of $2, $4, $6, · · · . The payments are made at the end of every two years. The present value of the perpetuity is $220. Determine the annual effective interest rate


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Answer #1

Formula:

PV of Growing Perpetuity = P1 / (r – g)

Where P = Payment at period 1

                r = discount rate

                g = growth rate

Given growing perpetuity is $2, $4, $6……

Since the payments are made at the end of every two year

Growing perpetuity is $6, $14, $22, $30……

Consider two year as 1 Period

PV of Growing Perpetuity = P1 / (r – g)

$220 = $6 / (r-0.7)

R = 6.5%


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Answer #2

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