Perpetuity Calculator

A perpetuity pays the same amount forever; its value is finite.

How the Math Works

The Perpetuity Calculator uses the formula PV = payment ÷ rate to determine the present value of an infinite series of equal payments. This calculation is based on the concept that money received in the future is worth less than money received today due to the time value of money. By dividing the periodic payment amount by the discount rate (expressed as a decimal), the formula discounts all future payments to their current worth, assuming the payment amount and rate remain constant indefinitely. The result represents how much you would need today to fund an endless stream of identical payments at the given rate of return.

Practical Applications

This calculation is commonly used in finance to value investments like preferred stocks, which typically pay fixed dividends forever, or to assess the worth of bonds with perpetual maturity. Businesses may use it to evaluate projects that generate stable, long-term cash flows, or to determine the present value of organizational structures with infinite revenue streams. It also helps in comparing different investment options with perpetual income features, allowing investors to make informed decisions by equating the present value of these payments to alternative opportunities at the same rate of return.

Day-to-Day Use

In everyday financial planning, this tool can help individuals decide whether to accept a lump-sum payment versus an infinite stream of income, such as in pension or insurance products. For example, someone might use it to calculate how much they need to invest today to generate a fixed monthly income for life, ensuring long-term financial security. It also aids in real estate or business valuation scenarios where a property or asset generates consistent returns indefinitely, helping owners assess fair market value or negotiate deals with confidence.

Worked example

$1,000/yr at 5% → $20,000.

FAQ