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What is the present value of a perpetuity that pays annual, end-of-year payments of $1,000 every year? Use a nominal rate of 8.00%.

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Answer:

The present value of the perpetuity is $12,500.

Step-by-step explanation:

A perpetuity can be described as periodic payments that receivable indefinitely or forever.

The formula for calculating the the present value of a perpetuity is as follows:

PV of perpetuity = C / i .......................... (1)

PV of perpetuity = Present value of perpetuity = ?

C = Cash flow or annual payments = $1,000

i = Nominal rate = 8.00%, or 0.08

Substituting the values into equation (1), we have:

PV of perpetuity = $1,000 / 0.08

PV of perpetuity = $12,500

Therefore, the present value of the perpetuity is $12,500.

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