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Annuity Calculator (2026)

Calculate the present or future value of an annuity stream — useful for retirement planning, lottery decisions, and structured settlements.

Annuity details

Future value

$205,517

In 20 years

Total contributed

$120,000

240 payments of $500

Interest earned

$85,517

5% annual return

Balance over time

Analysis & insights

Your future value is $205,517, based on the inputs above. Loan and credit decisions compound over years. Small rate or term changes have outsized lifetime impact.

Calculation summary

Result derived from 5 inputs. Adjust any one to test sensitivity.

Risk & benchmark gauge

Current band

Low

Future Value: $205,517

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Industry benchmarks

  • Future Value$205,517
  • Present Value$75,763
  • Total Contributed$120,000
  • Periods$240
  • Interest Earned$85,517
  • Discount$44,237

Key insights

Time + rate compound

In long-horizon money math, small changes in rate or time produce outsized changes in the final number. Try ±1% on the rate to see sensitivity.

Sensitivity testing

Adjust each input by ±10% to find the most impactful variable — that's the one to focus your real-world decisions on.

Recommended actions(4)

Test the realistic range of each input

High priority

Try the lowest and highest realistic value for each input. The spread of results is the range you should actually plan for — point estimates lie.

Impact: Reveals which inputs matter most and where uncertainty hides.

Compare against published benchmarks

Medium priority

Whatever you're calculating, there's likely an industry benchmark for it. Google "[topic] average" or "[topic] median" to sanity-check the result.

Save or download a copy

Medium priority

For calculators that offer it, use "Download report (PDF)" to keep a snapshot. Otherwise screenshot the inputs + result before navigating away.

This tool is for educational purposes only and does not constitute financial, tax, or investment advice. Consult a qualified financial professional for advice specific to your situation.

What is Annuity Present and Future Value?

The word "annuity" means two different things, and confusing them is the most common problem on this topic.

In finance, an annuity is any series of equal payments made at regular intervals. A mortgage is an annuity. A monthly savings plan is an annuity. Lottery instalments and structured settlements are annuities. This calculator handles that meaning — the arithmetic of what a stream of payments is worth.

In insurance, an annuity is a contract you buy from an insurer that pays you an income, often for life. That is a product with fees, surrender charges, riders and credit risk, and its value cannot be computed from a payment and a rate.

Everything below is about the first meaning. The section on insurance annuities explains what to watch for in the second, because people arrive at pages like this with both questions.

The formula — how to calculate Annuity Present and Future Value

Ordinary annuity (payments at period end): FV = PMT × [((1 + r)ⁿ − 1) ÷ r] PV = PMT × [(1 − (1 + r)⁻ⁿ) ÷ r] Annuity due (payments at period start): multiply either result by (1 + r) where r is the periodic rate and n the number of periods
PMT
= the payment made each period
r
= the rate per period — an annual rate divided by 12 for monthly payments
n
= the total number of payments, not the number of years

The single most common error is mixing an annual rate with monthly payments. Divide the rate by 12 and multiply the years by 12, or the answer is wrong by an order of magnitude.

Step-by-step example

  1. 01$500 a month for 20 years at 5% a year, paid at the end of each month.
  2. 02Periodic rate: 5% ÷ 12 = 0.4167%. Periods: 20 × 12 = 240.
  3. 03Future value: $500 × [((1.004167)²⁴⁰ − 1) ÷ 0.004167] = about $205,517.
  4. 04Total paid in: $500 × 240 = $120,000. So $85,517 of that is growth.
  5. 05Present value of the same stream: about $75,763 — what you would pay today for the right to receive $500 a month for 20 years, at a 5% discount rate.
  6. 06Switch to payments at the start of each month and every figure rises by one period of interest: multiply by 1.004167. The future value becomes about $206,373, a difference of $856 for nothing more than timing.

Present value, and why it is the more useful direction

Future value answers "what will my saving become". Present value answers "what is this stream of payments worth today", and that is the question that settles real decisions.

The lottery choice is the standard illustration. A $10 million jackpot paid as $400,000 a year for 25 years against a lump sum of perhaps $5.5 million. The instalments total more, but the present value of that stream at any reasonable discount rate is close to the lump sum — which is exactly how the lump sum was calculated.

The same logic applies to a structured settlement, a pension offering a lump-sum buyout, or a business deciding between a lease and a purchase. In every case you are comparing money now against money later, and present value is the only honest way to do it.

The discount rate carries all the weight. A high rate says future money is worth much less, favouring the lump sum. A low rate favours the stream. Choosing it is a judgement about what you could otherwise earn and how certain the payments are — not a lookup.

A stream from the US Treasury deserves a low discount rate. The same stream from a company that might not exist in fifteen years deserves a much higher one, and that difference is precisely what the rate is for.

Ordinary annuity or annuity due

An ordinary annuity pays at the end of each period — mortgages, most loan repayments, bond coupons. An annuity due pays at the start — rent, insurance premiums, most lease payments. Every annuity-due value is the ordinary value multiplied by (1 + r), because each payment sits in the account one period longer. The difference is small monthly and compounds over decades.

Where this arithmetic actually gets used

Retirement drawdown
how long a pot lasts at a given withdrawal, or what withdrawal a pot supports — a present-value question with the sign reversed.
Lottery lump sum versus instalments
compare the present value of the stream against the cash option, then consider tax, which usually differs between them.
Pension buyout
employers offer a lump sum instead of a monthly pension. Present value tells you whether the offer is fair; longevity and inflation protection tell you whether it is wise.
Structured settlement
companies offer cash for future settlement payments, frequently at effective discount rates well above 10%. Computing the present value yourself is the fastest way to see what is being charged.
Lease versus buy
a lease is an annuity of payments; buying is a lump sum. Comparing them requires discounting one to match the other.

Insurance annuities are a different animal

If you arrived here thinking about a product an adviser suggested, the arithmetic above will not tell you whether it is a good idea. These are contracts, and the terms matter more than the headline rate.

A single premium immediate annuity is the simplest: you hand over a lump sum and receive an income for life starting now. It is genuine longevity insurance — the one thing no investment portfolio can guarantee — and its pricing is relatively transparent because there is little to hide behind.

A deferred annuity accumulates first and pays later. Fixed ones credit a stated rate. Variable ones invest in subaccounts and carry both market risk and, frequently, high fees. Indexed ones credit a return linked to a market index subject to caps, participation rates and spreads that can be adjusted by the insurer, and which usually mean you receive materially less than the index return.

The costs to ask about explicitly: the surrender charge and how many years it runs, the mortality and expense fee, the administrative fee, the cost of any rider, and the underlying fund fees on a variable contract. Combined charges of 2% to 3% a year are common and are the main reason these products are criticised.

The other thing worth understanding is that the guarantee is only as good as the insurer. Annuities are not FDIC-insured; they are backed by the issuing company and, to limited amounts, by state guaranty associations.

Surrender charges are the trap

Many deferred annuities impose a surrender charge for early withdrawal, often starting near 7% to 10% and declining over seven to ten years. Money you might need is money that should not go into one. Combined with the 10% federal penalty on withdrawals before 59½, an early exit can cost a fifth of the balance.

The mistakes that produce wrong numbers

Rate and period mismatch is by far the most common. A 6% annual rate with monthly payments is 0.5% per period over n months — not 6% over n years. Getting this wrong produces answers that are wrong by a factor of ten or more, and they look plausible enough to go unnoticed.

Timing is the second. Assuming payments at the end when they are made at the beginning understates every result by one period of interest.

Ignoring inflation is the third and the most consequential for retirement planning. A fixed $2,000 a month looks adequate today and buys roughly half as much after 24 years at 3% inflation. Level annuity income is not the same as level purchasing power, and a fixed lifetime annuity quietly loses value every year you live.

And treating a projection as a promise. This arithmetic assumes a constant rate and payments that always arrive. Neither is true of a real investment, and the second is not true of a payer who might default.

Common mistakes to avoid

  • Using an annual rate with monthly payments without dividing by 12.
  • Confusing the number of years with the number of periods.
  • Assuming end-of-period payments when the arrangement pays at the start.
  • Comparing a lump sum against the undiscounted total of a payment stream.
  • Choosing a discount rate without reference to what you could otherwise earn or how risky the payer is.
  • Ignoring inflation when planning fixed income over decades.
  • Buying an insurance annuity without asking for the surrender schedule and total annual charges in writing.
  • Putting money you may need within ten years into a deferred annuity.

Frequently asked questions

Sources & references

Written and fact-checked by the CalcProLabs Editorial Team. Read our calculation methodology and editorial policy.

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