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Present value of annuity calculator

Compute the present value of a series of equal future payments.

PVIFA Calculator (Present Value Interest Factor of an Annuity)PVIFA = [1 − (1+r)⁻ⁿ] / r — the number a payment is multiplied by to get a present value. Adjustable precision from 2 to 15 decimals, the ordinary and due factors together, an annuity-table row you can read across, and an explanation of why asking for more than 17 significant digits is meaningless in binary floating point.Present Value of an Annuity Due CalculatorPayments land at the start of each period, so every one of them is discounted one period less: PV(due) = PV(ordinary) × (1 + r). Both figures are shown side by side with the gap in cash, plus the period-by-period discount table that explains where the extra value comes from.Present Value of a Growing Annuity CalculatorPV = C₁/(r−g) · [1 − ((1+g)/(1+r))ⁿ] for payments that grow at a fixed rate. The r = g case is a removable singularity, not an error: the limit is n·C₁/(1+r), and it is computed exactly instead of dividing by zero. Ordinary and due timings, growing perpetuity, and the full payment table.Present value calculatorFind today's value of a future sum of money at a given discount rate.Perpetuity value calculatorCompute the present value of a perpetuity — a stream of payments that never ends.Pip Value Calculator (Forex)Value of one pip for a forex trade, in the quote currency and converted to your account currency.Annuity Payout CalculatorSolves any of the three questions a pot of capital raises: how long it lasts at a given withdrawal, how much you can withdraw for a chosen number of years, or how much principal a target income needs. Prints the full depletion schedule and restates every figure in today's money at your inflation rate.Fixed Indexed Annuity (FIA) CalculatorRuns a real index path through the crediting filter in the order the contract applies it — index return × participation rate, then the cap, then the floor — and shows what each stage removed, year by year, beside a plain fixed annuity. Historical S&P 500 paths included; the filter lab traces one sample year through all four stages.

Enter Payment per period, Rate per period (%), Number of periods and the Present value of annuity calculator works out Present value straight away. For instance, with Payment per period = $1,000.00, Rate per period (%) = 5 and Number of periods = 10 it returns Present value = $7,721.73.

How to use it

  1. Enter your values: Payment per period, Rate per period (%), Number of periods.
  2. Read the result instantly: Present value.

Frequently asked questions

What does the Present value of annuity calculator actually compute?

It takes Payment per period, Rate per period (%) and Number of periods and derives Present value from them. The calculation is live as you type, so the result updates on every change.

What information do I need to provide?

3 values: Payment per period ($), Rate per period (%) and Number of periods. Nothing else is required — no account, no file upload.

Can you show a worked example?

With Payment per period = $1,000.00, Rate per period (%) = 5 and Number of periods = 10, the calculator returns Present value = $7,721.73. Those figures come from running this exact tool, so you can reproduce them by entering the same values.

What happens if I enter larger values?

It moves a lot. Using Payment per period = $2,000.00, Rate per period (%) = 5.5 and Number of periods = 20 instead, Present value goes from $7,721.73 to $23,900.76 — which is why it is worth testing a few scenarios rather than trusting a single figure.

What does it give for smaller values?

Scaled down to Payment per period = $500.00, Rate per period (%) = 4.5 and Number of periods = 5, Present value comes out at $2,194.99. The relationship is worth checking at both ends before you rely on a single result.

When would I actually use this?

Comparing two investments that pay at different times, deciding whether a project clears its cost of capital, and sanity-checking a valuation someone else produced.

What is the most common mistake?

Trusting a valuation without asking what share of it comes from the terminal value. Past 70%, the answer is an assumption about the distant future dressed up as a calculation.

How accurate is it, and what are the limits?

Estimate only — not financial advice.

What is the difference between the Present value of annuity calculator and the PVIFA Calculator (Present Value Interest Factor of an Annuity)?

This one returns Present value; the PVIFA Calculator (Present Value Interest Factor of an Annuity) returns Result. That is the whole difference — open the one whose figure you need.

Is there a tool for the next step?

Present Value of an Annuity Due Calculator is the closest one after this: Payments land at the start of each period, so every one of them is discounted one period less: PV(due) = PV(ordinary) × (1 + r). Both figures are shown side by side with the gap in cash, plus the period-by-period discount table that explains where the extra value comes from.

Further reading

All guides
GuideBuying Back Retirement Quarters or Points: From What Age It Stops PayingThe usual advice is that a buy-back gets worse with age, because the price rises. The French scale is written to be actuarially neutral, so that is not quite what is happening — and once you see what actually moves the answer, the decision changes. Computed on the current parameters.ExplainerPresent Value vs Future Value: Why Money in Thirty Years Is Worth About an Eighth of Its FacePV = FV ÷ (1+r)^n. At 7 percent over 30 years the discount factor is 0.131, so a promise of $100,000 in thirty years is worth $13,137 today — and $41,199 if you assume 3 percent instead.ExplainerAnnuities: What You Are Actually BuyingAn annuity's price is a present value over a probability-weighted term. On a stated mortality at 4 percent, $100,000 at 65 buys $7,492 a year — 4.00 points of interest, 1.78 of returned capital and 1.71 of mortality credit.ExplainerThe Quarters or Points You Are Missing, and What Each One Is Actually WorthA missing quarter in France costs you twice over, through two separate mechanisms that most explanations mention only one of. A German point is a single arithmetic step and much easier to price. Both are computable, and the 2026 figures changed more than usual.ExplainerWhat an Investment Return Number Is Not Telling YouA fund can return 9.49 percent a year while its investor earns −1.77 percent. Time-weighted versus money-weighted, nominal versus real, gross versus net — four questions inside one number, separated with arithmetic.ComparisonLife Assurance or a Pension Plan: the Lock-Up Decides, Not the Tax BreakScore both wrappers on the same rows and the pension plan wins the arithmetic at almost every horizon and almost every combination of tax rates — including when the rate does not fall at all. Which is exactly why the deduction is the wrong thing to decide on.