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How-to guide

How to Calculate Perpetuity: Formula, Steps & Examples

Learn how to calculate Perpetuity — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Aarav Mehta, CFA, MBA Finance · Updated Jun 2026 · 2 min read

Calculating your present value is straightforward once you know the Perpetuity formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Perpetuity Calculator.

What is Perpetuity?

The Perpetuity calculation tells you your present value from a few simple inputs. The figure you are solving for here is the present value, expressed in INR.

The Perpetuity formula

The core formula is:

Present value = Annual payment ÷ (Discount rate ÷ 100)

Here is what each input means:

  • Annual payment — a money amount. Example: ₹50,000.
  • Discount rate — a percentage, such as an annual rate. Example: 5%.

How to calculate it step by step

  • Write down the annual payment (for example, ₹50,000).
  • Write down the discount rate (for example, 5%).
  • Apply the formula above to get your present value.
  • Double-check the result with the Perpetuity Calculator.

Worked examples

Example 1

Input / OutputValue
Annual payment₹50,000
Discount rate5%
Present value₹10,00,000

With annual payment of ₹50,000 and discount rate of 5%, the present value works out to ₹10,00,000.

Example 2

With annual payment of ₹1,00,000 and discount rate of 5%, the present value works out to ₹20,00,000.

ResultValue
Present value₹20,00,000

Example 3

With annual payment of ₹25,000 and discount rate of 5%, the present value works out to ₹5,00,000.

ResultValue
Present value₹5,00,000

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.
  • Annual rates must be converted to the period you are calculating for (for example, divide an annual rate by 12 for a monthly figure).

Prefer not to do the maths by hand? — the Perpetuity Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring finance calculators with these tools: SIP Calculator, EMI Calculator, CAGR Calculator, FD Calculator, Effective Annual Rate (EAR) Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Present value = Annual payment ÷ (Discount rate ÷ 100). With annual payment of ₹50,000 and discount rate of 5%, the present value works out to ₹10,00,000.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Perpetuity Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

The present value is expressed in INR. Make sure your inputs use matching units so the result is correct.

Aarav Mehta · CFA, MBA Finance

Aarav reviews every finance formula on CalcHub for accuracy.