Present Value of Annuity Calculator

Estimate the present value of an annuity or a series of equal payments. This page also keeps the formula, examples, FAQs, and references close by so you can check the result with confidence.

What This Present Value of Annuity Calculator Helps You Do

PV of annuity discounts a stream of equal payments back to today. Review the formula and examples below if you want to see how the result is derived.

This page is meant to give you a fast answer, but it also helps you double-check the math before you make a decision. Start with the inputs that you already know, run the calculation, and then compare the output with the formula, examples, and FAQs below so you can see whether the answer fits the situation you are modeling.

If the result looks off, the usual causes are a unit mismatch, a missing decimal, the wrong scenario, or a value that needs to be entered as a rate instead of a total. The notes on this page are designed to make those checks easy without forcing you to leave the calculator and search for context elsewhere.

  • Use the calculator first for a quick estimate.
  • Use the formula to understand how the result is built.
  • Use the examples to compare common use cases.
  • Use the references when the answer depends on a standard or assumption.

Common Checks

A quick result is useful, but the best result is one that still makes sense when you look at it a second time. If you are comparing scenarios, try changing one input at a time so you can see which variable has the biggest impact on the final answer. That makes it much easier to spot whether the calculation matches your expectations.

It also helps to keep the context of the problem in mind. A calculator can tell you the math, but you still need to decide whether the input represents a total, a rate, an average, or a category-specific assumption. When in doubt, start with a simple example from the page and scale up from there.

  • Check that every unit matches the rest of the problem.
  • Keep rates, totals, and averages separate.
  • Adjust one variable at a time when testing scenarios.
  • Use the smallest realistic input first, then scale upward.

Scenario Planning

This calculator is especially useful when you want a quick answer before you commit time, money, or effort. Try one baseline input set, then change a single number and compare the result so you can see how sensitive the answer is to that variable.

That makes the page useful for more than just arithmetic. It becomes a small decision aid that helps you compare options, test assumptions, and explain the final number with confidence when you need to share it with someone else.

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Result

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Quick Answer: PV of annuity discounts a stream of equal payments back to today. Review the formula and examples below if you want to see how the result is derived.

How to Calculate Present Value of Annuity Calculator

  1. Enter the payment amount: Use the regular annuity payment.
  2. Set the discount rate and periods: Choose the rate and the number of payments.
  3. Read the present value: The calculator discounts the annuity to today.

Present Value of Annuity Calculator Formula

PV = PMT × [1 - (1 + r)^-n] / r
Variable Meaning Unit
PMT Payment amount each period $
r Discount rate per period %
n Number of periods periods

Worked Examples

USA - Ordinary annuity
  • Payment amount: $100
  • Discount rate: 6%
  • Periods: 10
  • Payment timing: End of period

Result: About $736

Ordinary annuities are paid at the end of each period.

UK - Annuity due
  • Payment amount: $100
  • Discount rate: 6%
  • Periods: 10
  • Payment timing: Beginning of period

Result: A bit higher than ordinary annuity

Payments at the beginning are worth slightly more today.

How to Interpret Your Results

Range Meaning Action
Higher rate Lower present value Check whether the discount rate is appropriate.
More periods More total cash flow, but further in the future Compare the long-run value against the upfront cost.

Frequently Asked Questions

It is an annuity with payments at the beginning of each period.

Yes. Switch the output to future value.
Planning note: Discounting conventions can vary with the payment schedule.

References

Last reviewed: April 2026