Fixed & Variable Annuity ModelingImmediate vs Deferred PayoutsClient-Side Actuarial Engine

Annuity Calculator & Lifetime Income Simulator

Model immediate and deferred income annuities, estimate lifetime payouts under different guarantee options, see how a surrender schedule works — and calculate the future and present value of any series of regular payments.

Contract Parameters

Contract Distribution Mode
Single premium purchase
$
10 Years
1 yr15 yrs30 yrs
5.40% APY
%

Illustrative assumptions — fixed rates are guaranteed by the contract; indexed and variable returns are not.

Payout Option & Longevity Guarantee
Years Old
Retirement Payout Age
—Age + deferral
%
Cost-of-Living Rider (COLA)Payments rise 2.0% a year; the starting payout is lower to pay for it
%
Estimated Lifetime Cash Flow—
—/mo

—

Accumulated Balance—
Total Payouts—
Payouts Beyond Account Value:—
—

Capital Composition Waterfall

Breakdown of total expected payouts.

    Surrender Charge Schedule

    Typical 7-year declining
    Yr 17%
    Yr 26%
    Yr 35%
    Yr 44%
    Yr 53%
    Yr 62%
    Yr 7+0%

    —

    PV / FV

    Multi-Decade Actuarial Ledger & Cashflow Schedule

    Accumulation growth, COLA step-ups and income drawdowns. The notional account shows what the money alone would cover — payouts continue for life after it runs out.

    Display Interval:
    Contract YrAnnuitant AgePhaseBeginning BalanceAnnual PayoutCumulative Cash OutNotional Account (End)
    *Payout ages assume the annuitant is alive. Notional account grows at the pricing rate less payouts, with no mortality credits.

    Annuity Future Value & Present Value

    Ordinary annuity · monthly

    Calculate the future value and present value of a series of regular payments, using standard annuity formulas.

    $
    %
    yrs
    Future Value—What the payments grow to
    Present Value—Equivalent lump sum today
    Total Paid In—

    FV = PMT × [(1+i)^n − 1] / i · PV = PMT × [1 − (1+i)^−n] / i — with i = annual rate ÷ 12 and n = years × 12.

    The Mechanics of Mortality Credits & Longevity Risk Pooling

    A lifetime annuity pools longevity risk. Money left behind by annuitants who die earlier than average helps fund payments to those who live longer — the "mortality credit". That is why a life annuity can pay more each year than you could safely withdraw from the same savings on your own, where you'd have to plan for living to 95 or beyond.

    The trade-off: with a life-only contract, if you die early the remaining value stays in the pool. Guarantee periods and joint options reduce the payout in exchange for protecting heirs or a spouse.

    Model used here: Gompertz mortality (modal age 90, dispersion 10 years) — roughly annuitant-level longevity. Real quotes also reflect sex, health, insurer expenses and current bond yields.

    Qualified vs. Non-Qualified Annuity Taxation

    Tax treatment depends on how the annuity was funded. Qualified annuities bought with pre-tax IRA or 401(k) money are generally taxed as ordinary income when paid out, and are subject to Required Minimum Distribution rules (RMDs start at 73, or 75 for people born in 1960 or later).

    Non-qualified annuities bought with after-tax savings use an exclusion ratio (IRC § 72): part of each payment is a tax-free return of your premium and part is taxable earnings, until your cost basis has been recovered.

    Sources: IRS Publication 575 (pension and annuity income) and Publication 939 (general rule for pensions and annuities).

    Future value vs. present value

    Future value tells you what a series of regular payments will grow to by the end of the term, accounting for compound interest along the way — useful for projecting retirement contributions or systematic savings plans.

    Present value tells you the equivalent lump sum today that would be worth the same as that entire stream of future payments — useful for comparing an annuity payout against a one-time settlement offer, or valuing a pension stream.

    By Suhaib Hassan · Formula verified 27 Sep 2026 · How CalculatePilot verifies formulas →

    This calculator models an ordinary annuity

    The future and present value section assumes an 'ordinary annuity,' where payments occur at the end of each period (the most common structure for loans and many savings plans) rather than an 'annuity due,' where payments occur at the beginning of each period. The distinction produces a small but real difference in the result, so check which structure applies to your specific situation.

    It also assumes monthly compounding matching monthly payments — for annual or quarterly payment schedules, the underlying math is the same but would need the compounding frequency adjusted to match.

    How the lifetime income estimate works

    During deferral the premium grows at your assumed rate. At the payout age, the balance is converted to a monthly income by dividing it by an annuity factor: the present value, at the insurer pricing rate, of $1 a month paid for as long as the chosen option pays — weighted by the chance the annuitant (or either spouse) is still alive, with guaranteed months counted in full and COLA step-ups included. It's an estimate for comparing options, not an insurer quote.

    Frequently asked questions

    What's the difference between an ordinary annuity and an annuity due?

    In an ordinary annuity, payments happen at the end of each period; in an annuity due, they happen at the beginning. This calculator models an ordinary annuity, which is the more common structure for loans and standard savings plans.

    When would I use present value instead of future value?

    Present value is useful when comparing a stream of future payments (like a pension or settlement) against an equivalent lump sum offered today — it tells you what that future income stream is actually worth in today's dollars.

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