Annuity Calculator
✦ Finance & MoneyUse this free annuity calculator to estimate fixed annuity payout income, accumulation growth over time, and the difference between ordinary annuity and annuity due schedules.
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The formula
Annuity present value & future value
Accumulation (FV): FV = P(1+r)^n + PMT · [((1+r)^n - 1) / r] · (1+r·d)
Payout (PMT): PMT = PV · [r / (1 - (1+r)^-n)] / (1+r·d)
Longevity (n): n = -ln(1 - (PV·r) / (PMT·(1+r·d))) / ln(1+r)
P = starting balance, PV = present purchase principal, r = periodic rate (annual rate / frequency), n = total periods, PMT = periodic payment/contribution, d = 0 for an ordinary annuity (end of period) or d = 1 for an annuity due (beginning of period). When r = 0, FV = P + PMT·n and PMT = PV / n.
Calculating it by hand
- Select your calculation mode: Payout / drawdown (income streams) or Accumulation (growth of contributions).
- Choose your solve target: calculate the periodic payout amount or determine how many years your fund will last.
- Enter your starting investment principal, guaranteed annual growth rate, and duration horizon.
- Set your payment frequency (monthly, quarterly, semi-annually, or annually).
- Select payment timing: ordinary annuity (end of period) or annuity due (start of period).
- Optionally expand Advanced to model ordinary income tax on interest earnings and purchasing-power inflation.
- Review your headline payout or balance, the four summary figures, the balance chart and the full schedule.
Worked examples
Fixed payout: $250,000 at 5.5% over 20 years, paid monthly
Starting principal (PV) = $250,000, annual rate = 5.5%, monthly payments, term = 20 years (n = 240 months), paid at the end of each month.Periodic rate r = 0.055 / 12 = 0.004583333.Discount factor = 1 − (1.004583333)^−240 = 1 − 0.334047 = 0.665953.Monthly payout = $250,000 × 0.004583333 / 0.665953 = $1,719.72.Total income paid = $1,719.72 × 240 = $412,732.38, of which $162,732.38 is interest.
$1,719.72 per month ($412,732.38 total income paid)
Accumulation: $20,000 plus $500 a month at 6% for 15 years (annuity due)
Initial balance = $20,000, monthly deposit = $500, rate = 6.0% (r = 0.005 a month), term = 15 years (n = 180 months), deposits at the start of each month.Growth of the initial balance = $20,000 × (1.005)^180 = $20,000 × 2.454094 = $49,081.87.Annuity factor = [(1.005)^180 − 1] / 0.005 = 1.454094 / 0.005 = 290.8187; annuity-due adjustment × 1.005 = 292.2728.Growth of the deposits = $500 × 292.2728 = $146,136.40.Ending balance = $49,081.87 + $146,136.40 = $195,218.27 (deposits $110,000; interest $85,218.27).
$195,218.27 ending balance ($85,218.27 in compound growth)
Longevity: how long will $300,000 last at $2,000 a month and 4%?
Starting balance (PV) = $300,000, annual rate = 4%, withdrawal (PMT) = $2,000 at the end of each month.Periodic rate r = 0.04 / 12 = 0.0033333. Interest in month one = $300,000 × 0.0033333 = $1,000 — half the withdrawal, so the balance falls about $1,000 that month and faster after.n = −ln(1 − PV × r / PMT) / ln(1 + r) = −ln(1 − 1,000 / 2,000) / ln(1.0033333) = 0.693147 / 0.0033278 = 208.29 months.208.29 / 12 = 17.36 years — about 17 years and 4 months of withdrawals before the balance reaches zero.Total withdrawn = 208.29 × $2,000 = $416,582 (the engine's unrounded figure is $416,581.76), so about $116,582 of the payouts is interest.
About 17.4 years (208.3 months) of $2,000 monthly withdrawals — $416,582 paid out in total from a $300,000 starting balance.
Methodology
How fixed annuities grow and pay out
Annuity contracts transform lump sums into steady income or accumulate guaranteed interest over time. Understanding the timing of payments and the compounding formula determines whether your retirement funds outlast you.
Read sources and limitsWhat is the difference between an accumulation and a payout annuity?
An annuity has two phases. In accumulation (a deferred annuity), you deposit a principal and often regular contributions that compound tax-deferred at the contract rate. In payout (an immediate or annuitized contract), the balance is turned into a series of payments, each part return of principal and part interest on what remains.
A deferred annuity is a saving vehicle for 10 to 30 years; a single premium immediate annuity (SPIA) starts paying within a year of purchase. The two tabs of this calculator follow the same split: Accumulation grows a balance, Payout / drawdown spends one down over a fixed term or tells you how long a withdrawal lasts.
What is the difference between an ordinary annuity and an annuity due?
The difference is when each payment happens. An ordinary annuity pays or deposits at the end of each period, like a loan payment; an annuity due does it at the start, like rent. That one-period shift changes every figure, because each payment in an annuity due spends one more period earning or losing interest.
In accumulation, an annuity due always ends with a larger balance: every deposit compounds one extra period. In payout, paying at the start of each period lowers the level payment slightly, because the first payment leaves the balance before it has earned anything. On $250,000 at 5.5% over 20 years, the monthly payout is $1,719.72 at period end and $1,711.87 at period start.
How do you calculate an annuity payment or how long the money lasts?
Annuity maths uses the closed-form time-value-of-money equations. The level payment from a lump sum PV at periodic rate r over n periods is PMT = PV × r / (1 − (1 + r)^−n); for an annuity due, divide that by (1 + r). The periodic rate is the annual rate divided by payments per year.
To find how long a fixed withdrawal lasts, the same equation is solved for n: n = −ln(1 − PV × r / PMT) / ln(1 + r). When the withdrawal is no larger than the interest it earns (PMT ≤ PV × r), the balance never falls and the payments could continue indefinitely; the calculator reports that as a perpetual payout.
How do taxes, surrender charges and inflation reduce annuity income?
Growth inside a non-qualified annuity is tax-deferred, but the earnings are taxed as ordinary income when withdrawn, and withdrawals before annuitization come out of earnings first. An annuity funded with pre-tax money, such as an IRA rollover, is fully taxable when paid out (IRS Publication 575).
A fixed payment also loses purchasing power: at 3% inflation, a level payment buys about 45% less after 20 years (1 ÷ 1.03^20 = 0.554). Early withdrawals above the contract's free amount usually incur a surrender charge set by the contract, and the earnings portion of a withdrawal before age 59½ carries a 10% additional federal tax under IRC §72(q) unless an exception applies.
How do insurers turn a fixed sum into lifetime income?
A lifetime annuity replaces this page's fixed number of periods with an expected number drawn from mortality tables for the buyer's age and sex. The insurer pools many contracts: money left by people who die early funds those who live long. That pooling is why an older buyer is quoted more per month for the same premium.
The insurer then discounts the expected stream at a rate a little below what it earns on its bond portfolio and keeps the spread. To sanity-check a quote, compare it with this calculator's fixed-term payout at a similar rate: $100,000 over 25 years at 5% pays $584.59 a month. Any amount a life-only quote offers above that is the value of pooling, paid for by the contract stopping at death; a period-certain or refund guarantee moves the quote back toward the fixed-term figure.
Annuity questions
What is the difference between an ordinary annuity and an annuity due?
An ordinary annuity makes each payment at the end of the period; an annuity due makes it at the beginning. In accumulation, an annuity due ends with a higher balance because every deposit earns one more period of interest. In payout, paying at the start lowers the level payment slightly: $250,000 at 5.5% over 20 years pays $1,719.72 a month at period end and $1,711.87 at period start.
How is the periodic payout on a fixed annuity calculated?
By amortizing the principal over the term: PMT = PV × r / (1 − (1 + r)^−n), where PV is the starting principal, r the periodic rate (annual rate ÷ payments per year) and n the number of payments. For an annuity due, divide the result by (1 + r). $250,000 at 5.5% for 240 months gives $1,719.72 a month.
What is the difference between an immediate annuity and a deferred annuity?
An immediate annuity (SPIA) starts paying income within a year of a single lump-sum premium. A deferred annuity first accumulates interest tax-deferred, often for 5 to 30 years, before you withdraw the money or annuitize it into a regular income stream. Use the Accumulation tab for the deferred phase and the Payout / drawdown tab for the income phase.
How are annuity withdrawals and income payments taxed?
It depends on how the contract was funded. A qualified annuity bought with pre-tax money (an IRA or 401(k) rollover) is fully taxable as ordinary income when paid out. A non-qualified annuity bought with after-tax money is taxed only on its earnings: annuitized payments use the exclusion ratio to return principal tax-free, and withdrawals before annuitization are treated as earnings first (IRS Publications 575 and 939).
Can an annuity payout last for a lifetime?
Yes. A life annuity pays for as long as you live, or as long as either of two people lives under a joint-life contract, and its amount comes from the insurer's mortality tables rather than a fixed number of years. This calculator models fixed-term (period certain) payouts; compare a lifetime quote with its fixed-term figure at a similar rate to see what the lifetime guarantee is worth.
How does inflation affect fixed annuity income?
A fixed annuity pays the same dollar amount every period, so inflation steadily erodes what it buys. At 3% a year, a $1,500 monthly payment buys what about $830 buys today after 20 years ($1,500 ÷ 1.03^20 = $830.50). Contracts with a cost-of-living adjustment start with a lower payment in exchange for the annual increase.
What is a surrender charge on an annuity?
A surrender charge is a fee the insurer deducts if you cancel the contract or withdraw more than the penalty-free amount during the surrender period. The schedule is written into the contract, usually starting highest in the first year and declining to zero over several years, and many contracts allow a free withdrawal of part of the value each year. The SEC and FINRA investor guides recommend reading that schedule before buying.
How much does a $100,000 annuity pay per month?
For a fixed-term payout the answer is exact: $100,000 over 20 years at 5%, paid monthly at period end, gives $659.96 a month; at 4% it is $605.98, and over 25 years at 5% it is $584.59. A lifetime income annuity is priced by the insurer from your age, sex and current rates, so get quotes; an older buyer receives more, and joint-life or period-certain guarantees reduce the payment.
Is an annuity a good investment?
An annuity is better judged as insurance than as an investment. You buy a guaranteed stream of income and pay for it with lower liquidity, surrender charges in the early years, fees on variable and indexed contracts, and returns usually below a long-run stock portfolio. It suits someone who wants an income floor they cannot outlive; it suits less someone who needs access to the money or wants to leave it to heirs.
What is the difference between an annuity and a CD?
A CD is a bank deposit insured by the FDIC up to $250,000, with interest taxed each year and a modest early-withdrawal penalty. A fixed annuity is an insurance contract backed by the insurer and state guaranty associations, with interest tax-deferred until withdrawn, surrender charges in the early years, and a 10% additional federal tax on earnings taken before age 59½. An annuity can also be converted into lifetime income; a CD cannot.
What happens to an annuity when the owner dies?
It depends on the phase and the payout option. During accumulation, the contract value passes to the named beneficiary, avoiding probate but not income tax on the untaxed growth. Once payments start, a life-only annuity stops at death; a joint-life option continues to the survivor; a period-certain option pays the beneficiary for the rest of the guaranteed term; a cash-refund option returns any premium not yet paid out. Each guarantee lowers the payment.
Is there a penalty for withdrawing from an annuity before age 59½?
Usually two. IRC §72(q) adds a 10% tax on the earnings portion of a withdrawal from a non-qualified annuity before age 59½, on top of ordinary income tax, unless an exception applies such as death, disability or substantially equal periodic payments; annuities inside an IRA or qualified plan follow those accounts' rules instead. The insurer may separately charge a surrender fee under the contract's schedule.
Source notes
Method, sources & limitations
Every figure on this page comes from the formula above applied to the values you enter. Nothing is estimated from market data, and no result is a forecast. These are the sources behind the method and any fixed figures it uses:
- U.S. Securities and Exchange Commission (Investor.gov) — Annuities
- FINRA — Annuities
- IRS Publication 575 — Pension and Annuity Income
- IRS Publication 939 — General Rule for Pensions and Annuities (exclusion ratio)
- 26 U.S.C. §72(q) — 10% additional tax on early distributions from annuity contracts
Educational information only. Results are estimates produced from the assumptions you enter, and are not financial, tax, legal or medical advice. Check anything that matters against a qualified professional and the cited sources.