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Present Value of a Growing Annuity Calculator

PV = 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.

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Present Value of a Growing Annuity Calculator works straight from this page — free, instant, nothing to install. It covers 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 — adjust any of them and the result follows immediately.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What does Present Value of a Growing Annuity Calculator do?

PV = 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.

What does it take into account?

It factors in 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. Change any of them and the output follows immediately.

When would I actually use this?

Checking whether the pot is on track, testing how long it lasts at a chosen withdrawal rate, and seeing what a few more years of contributions change.

What is the most common mistake?

Assuming an average return arrives evenly. A poor decade at the start of drawdown does far more damage than the same decade at the end, even when the average is identical.

How is Present Value of a Growing Annuity Calculator different from Present Value of an Annuity Due Calculator?

They sit next to each other but answer different questions: Present Value of an Annuity Due Calculator is the one to open when you need it to 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. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

PVIFA Calculator (Present Value Interest Factor of an Annuity) is the closest one after this: 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.

What else is worth having open alongside it?

Present value of annuity calculator and Present value calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

The projection is arithmetic on the return and inflation you assume. State pensions, tax on withdrawals and life expectancy are not modelled, and none of this is advice on your own retirement.

Further reading

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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.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.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.ExplainerThe 4 Percent Rule Is a Result From One Country and One CenturyThe rule is the output of a named backtest on US data. Its inversion, 1 ÷ w, gives the multiple: 25× at 4 percent, 33.3× at 3 percent. And two paths with the same 4.7676 percent geometric mean end one at zero and one at $2,031,661.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.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.