Annuity Calculator - Future and present value

An annuity calculator estimates what a series of equal payments may be worth at the end of a term and what that same stream is worth today. Use it when planning regular retirement contributions, comparing a payment stream with a lump sum, checking an investment-growth assumption, or learning how payment timing affects value. The estimate is a financial-math benchmark, not an insurance-company illustration.

• • Retirement saving: Project how recurring deposits could accumulate before retirement and compare the future value with a savings target.
• • Lump-sum comparison: Use present value to translate future payments into today's dollars under a rate assumption that you can document.
• • Payment timing: Compare an ordinary annuity with an annuity due when deposits or payments happen at the end versus the beginning of each period.
• • Finance education: See the relationship among payment amount, period rate, number of periods, compound growth, and discounted value.

The calculator assumes level payments, a constant nonnegative annual rate, and a regular schedule. It reports future value, present value, total contributions, modeled interest, effective annual rate, and total periods together so you can see both the headline result and the assumptions behind it.

Use the result for scenario comparison rather than as a promise of performance. A real annuity contract may include fees, taxes, surrender restrictions, changing crediting rules, market exposure, or life-contingent terms that are outside this level-payment calculation.

When the main question is accumulation from recurring deposits, the Annuity Future Value Calculator focuses the worksheet on future value and growth components.

The calculator converts the annual percentage into a rate for each payment period, calculates the total number of periods, and applies standard ordinary-annuity factors. Annuity-due timing moves every payment one period earlier.

• PMT: The equal payment or contribution made each period.
• r: The periodic rate, calculated as annual rate ÷ 100 ÷ frequency.
• n: The number of periods, calculated as years × frequency.
• FV and PV: FV is the accumulated end value; PV is the equivalent value at the start of the stream.

At a zero rate, the formulas do not require a limiting approximation: both values equal the payment multiplied by the period count. For a positive rate, future value compounds earlier payments forward, while present value discounts later payments back. The due option multiplies both ordinary results by one plus the periodic rate because each payment is one period earlier.

The effective annual rate makes the frequency assumption visible. With 6% nominal interest compounded monthly, the effective annual rate is about 6.17%, not exactly 6%, because interest is credited more than once during the year. Displayed currency is rounded only after the calculation.

According to eCampusOntario's Mathematics of Finance text, annuity value calculations use the payment amount, periodic interest rate, and number of conversion periods; its future-value treatment also distinguishes beginning-of-period payments from ordinary payments.

According to eCampusOntario, Mathematics of Finance, annuity value calculations use the payment amount, periodic interest rate, and number of conversion periods; its future-value treatment also distinguishes beginning-of-period payments from ordinary payments.

If you know the payment stream and need a more detailed current-dollar valuation, use the Annuity Present Value Calculator for a present-value-focused comparison.

Four ideas make the result easier to read: when payments occur, how periods are counted, how the rate is applied, and what present value means.

OpenStax describes an annuity as a stream of fixed periodic payments and treats ordinary and due payments as different timing patterns. That distinction is important when a payment is made with rent-like beginning-of-period timing instead of after a month, quarter, or year has elapsed.

Do not confuse nominal rate, effective annual rate, and an insurer's credited rate. The calculator divides the entered nominal percentage by frequency. A product illustration may use a different convention, so record the rate definition beside any scenario you save.

According to OpenStax, Principles of Finance, an annuity is a stream of fixed periodic payments, and the timing distinction between an ordinary annuity and an annuity due changes the present-value calculation.

For a broader comparison of single sums, rates, terms, and dated cash flows, the Time Value of Money Calculator adds general time-value-of-money context.

Match the payment amount to the frequency before reading the result. A monthly payment should be paired with monthly frequency; changing frequency without changing the payment models a different contribution plan.

1. 1 Enter the payment: Enter the regular contribution or payment in dollars for one selected period.
2. 2 Set the annual rate: Enter the constant nominal annual rate you want to test, from 0% through 100%.
3. 3 Choose the term: Enter the number of years over which payments and compounding continue.
4. 4 Choose frequency: Select monthly, quarterly, semiannual, or annual periods so the rate and period count match the schedule.
5. 5 Choose payment timing: Select ordinary for end-of-period payments or due for beginning-of-period payments.
6. 6 Compare the outputs: Read future value alongside present value, contributions, interest, effective annual rate, and total periods. Change one assumption at a time for a cleaner comparison.

For $1,000 paid monthly at 6% for 20 years, this annuity calculator shows about $462,040.90 accumulated under ordinary timing. Compare that with $240,000 of contributions, then switch to annuity due to see the effect of beginning-of-month payments.

After testing a payment stream, the Retirement Savings Calculator can place the contribution scenario beside retirement age and savings-goal assumptions.

A consistent formula helps you isolate the effect of each assumption before comparing products or making a savings decision.

• • See growth in dollars: Future value and total contributions show how much of the projected balance comes from payments versus modeled interest.
• • Compare today's equivalent: Present value expresses the payment stream in starting-date dollars under the same rate assumption.
• • Test payment timing: The ordinary and due options make the cost or benefit of beginning-of-period timing visible.
• • Make frequency explicit: The effective annual rate and total periods reveal how monthly, quarterly, semiannual, and annual schedules differ.
• • Document scenarios: Keeping payment, rate, term, frequency, and timing together makes a comparison easier to review or reproduce.

The strongest use is sensitivity analysis. Run a base case, a lower-rate case, and a different term while holding the other inputs steady. This shows whether a target depends mainly on saving more, starting earlier, or assuming a higher return.

A formula result should be paired with the decision it informs. For retirement saving, compare the projected balance with a target and withdrawal plan. For a payment-stream valuation, document why the discount rate is appropriate instead of treating the output as a universal price.

If you want to isolate growth on a balance and recurring contributions without annuity timing labels, the Compound Interest Calculator is a useful companion.

The result changes when the payment schedule, rate convention, horizon, or timing changes. Review these drivers before comparing a projection with a statement or contract illustration.

• • This page does not price a lifetime benefit, predict lifespan, or reproduce an insurer's mortality assumptions. Lifetime and other life-contingent arrangements need actuarial and contract review.
• • The model assumes equal payments and a constant rate. It does not include inflation increases, variable-market returns, caps, spreads, taxes, fees, or withdrawals between scheduled periods.
• • The effective annual rate is a mathematical annualization of the entered nominal rate and frequency. It is not necessarily the net return credited to an account after expenses.

Investor.gov explains that annuities are insurance products and that variable annuities can involve investment options, fees, and investment risk. That context is why this calculator labels the rate as an assumption and avoids presenting a formula result as a product quote.

Small differences between calculators can come from payment timing, whether the annual rate is nominal or effective, when compounding occurs, and whether rounding happens during the calculation. Keep full precision until the display step and compare like-for-like assumptions.

For a real decision, review the contract's payment promise, access rules, tax treatment, beneficiary provisions, and charges separately. The calculator is most useful as a transparent baseline for questions, not as a substitute for those documents.

According to Investor.gov, U.S. Securities and Exchange Commission, annuities are insurance contracts that can provide periodic payments, and variable annuities involve investment options, fees, and investment risk that a level-payment formula does not model.

When the starting value is known and the question is how much periodic income it may support, the Annuity Payout Calculator addresses the reverse payout calculation.