Perpetuity Value Calculator

10,000 annual income at 5% discount rate: 200,000 present value as perpetuity. Consols, preferred stock, and trust income approximate perpetuities. At higher discount rates, perpetuity values drop sharply: 10% rate drops to 100,000.

Run it with sensible defaults

Using annual cash flow of 10,000, discount rate of 5%, the calculation works out to 200,000.00. The defaults are meant as a starting point, not a recommendation.

The levers in this calculation

The inputs — Annual Cash Flow and Discount Rate — do not pull with equal force. Not every input has equal weight. Adjusting one input at a time toward extreme values shows which ones move the result most.

How the math works

The present value is the annual cash flow divided by the discount rate: PV = CF / r. A 10,000 cash flow at a 5% discount rate gives 10,000 / 0.05 = 200,000. Because the rate sits in the denominator, a smaller rate produces a much larger present value, which is why the result is most sensitive to the discount rate.

Where this fits in planning

This is a "what-if" tool, not a forecast. It helps to test ideas: what happens to the present value if the discount rate comes in a point or two higher than hoped, or if the annual cash flow lands lower than planned. The value is in the scenarios you run across those two inputs, not the single answer the defaults produce.

What this doesn't capture

The formula assumes the annual cash flow stays constant in nominal terms and the discount rate never moves, and neither holds perfectly in practice. It also leaves out inflation, which erodes the real purchasing power of a fixed payment over time, and it treats the stream as genuinely endless even though most real-world income streams eventually stop. Taxes on the payments are not modelled. The number represents one steady-state scenario rather than a forecast.

Related calculations worth running

Plans get firmer when you triangulate. Alongside this one, the gordon growth model calculator, the annuity present value calculator, and the growing perpetuity calculator tend to come up in the same conversations. Running two or three together exposes inconsistencies in any single assumption — which is usually where the useful insight lives.

Worked example

Suppose a trust pays out 15,000 annually in perpetuity, and inflation-adjusted returns on comparable investments average 4% per year. The perpetuity value calculator shows:

• Annual cash flow: 15,000
• Discount rate: 4%
• Present value: 375,000

This means the infinite stream of 15,000 annual payments has the same present-day worth as a single lump sum of 375,000. If the discount rate rises to 6%, that present value falls to 250,000 — illustrating how sensitive perpetuity values are to rate assumptions.

When this metric matters

Perpetuity valuation appears in several practical contexts:

• Preferred stock analysis — some preferred shares pay dividends indefinitely with no maturity date
• Real estate and land ownership — long-term rental income streams with no defined end
• Trust and endowment planning — distributions designed to continue across generations
• Comparing lump sums to income streams — deciding whether to accept a one-time payment or ongoing payouts

What the result shows and does not show

Shows: The calculator estimates what an endless income stream is equivalent to in today's currency terms, given a fixed annual payment and discount rate.

Does not show: Whether the cash flow will actually continue indefinitely, whether the discount rate will remain stable, the effect of inflation on purchasing power, tax treatment of payments, or the real-world likelihood that any income stream truly lasts forever.

Educational note

This calculator illustrates perpetuity mechanics for learning and exploration. Results are estimates based on the assumptions entered and do not account for individual circumstances, tax implications, inflation, or market conditions. Use output as educational material only, not as basis for decisions.