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Amara purchased a bond that will pay $50 a year forever, starting one year from now, if the interest rate r is positive...

Amara purchased a bond that will pay $50 a year forever, starting one year from now, if the interest rate r is positive and constant, how much is her bond worth today?

1. 50/r

2. 50/ (1+r)

3. 50 (1+r)

4. 50/(1+r+r2+m+)

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Answer #1

Present worth of perpetual annuity = A /i

Present value of an annuity of 50 at interest r = 50 / r

Correct answer is 1. 50 / r

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