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Present Value of a Perpetuity
A perpetuity is an annuity of infinite years or period. The present value of a perpetuity
may be expressed as follows:
| P∞ | = | A | |
| r |
| Where | ||
| P∞ | = | Present value of a perpetuity |
| A | = | Perpetual cash flow or annuity amount |
| r | = | Discount rate (in decimal form) |
Example: Suppose if a person would receive $10,000 in
perpetuity and the interest rate is 10%, the present value would be:
| PV∞ | = | $ 10,000 | = | $ 100,000 | |
| 0.10 |
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