What this perpetuity calculator does
This calculator finds the present value of a perpetuity. You enter the payment and the discount rate. The tool then shows the value today. It reveals what endless payments are worth now. This is a key finance measure. You can plug in other values. The result helps you value a stream.
What a perpetuity is
A perpetuity is a stream of payments forever. It pays the same amount each period. It never ends. So it has no final date. It is a useful idea in finance. It models long-lasting income. It has a clear present value.
How it is calculated
The steps are simple to follow. You take the payment per period. Then you divide by the discount rate. The rate is used as a decimal. That gives the present value. The calculator takes care of it for you. A lower rate means a higher value.
What the present value tells you
The present value shows today's worth. It is what the endless stream is worth now. Future payments are worth less today. So they are all discounted back. A bigger payment lifts the value. A higher rate lowers it. It is a clean valuation signal.
Why perpetuities matter
Perpetuities appear across finance. They value some bonds and shares. They model steady, lasting income. They feed into other formulas. They help with the terminal value. Analysts use them often. They are a core building block.
Perpetuity versus annuity
A perpetuity pays forever. An annuity pays for a set time. An annuity has a final date. A perpetuity never ends. So a perpetuity is the simpler formula. An annuity needs the number of periods. Both discount future cash to today.
The role of the discount rate
The discount rate drives the value. It reflects risk and the cost of money. A higher rate cuts the value. A lower rate raises it. Small rate changes move it a lot. So pick the rate with care. It is the key input here.
How to use it
Enter the payment per period first. Add the discount rate next. Read the present value at once. See what the stream is worth. Then try a different rate. Compare a few cases. Use it to value lasting income.
Real-world perpetuities
True perpetuities are rare. Some old government bonds paid forever. Preferred shares can act like one. They pay a fixed dividend with no end. The model also values steady firms. It approximates very long streams. So the idea is widely useful.
Common mistakes to avoid
A common mistake is misreading the rate. The tool reads it as a percent. Another is using a zero rate. That breaks the formula. Some forget payments grow over time. Others misjudge the rate. A clear view avoids these traps.
A final tip
Use the perpetuity formula for endless income. Remember the value is payment over rate. Pick the discount rate with care. A small rate change moves it a lot. Check that payments really stay flat. Compare a few rates. The present value guides a fair price.