# Annuity Calculator

Calculate the present value and future value of an annuity. Compare ordinary annuities and annuities due with different payment schedules.

## What this calculates

Calculate the present and future values of an annuity. Enter the periodic payment, interest rate, and duration to evaluate annuities for retirement planning, investment analysis, or loan comparisons.

## Inputs

- **Periodic Payment** ($) — min 0 — The regular payment amount each period.
- **Annual Interest Rate** (%) — min 0, max 25 — Annual interest or discount rate.
- **Number of Years** — min 1, max 50 — Duration of the annuity in years.
- **Payment Frequency** — options: Annually, Quarterly, Monthly — How often payments are made.
- **Annuity Type** — options: Ordinary Annuity (end of period), Annuity Due (beginning of period) — When payments occur within each period.

## Outputs

- **Future Value** — formatted as currency — Total value of all payments with compounding at the end.
- **Present Value** — formatted as currency — What all future payments are worth today.
- **Total Payments** — formatted as currency — Sum of all payments made.
- **Total Interest Earned** — formatted as currency — Future value minus total payments.

## Details

An annuity is a series of equal payments made at regular intervals over a specified period. Annuities are fundamental in finance, appearing in mortgages, retirement plans, insurance products, and investment accounts.

The future value of an ordinary annuity (payments at the end of each period) is: FV = PMT x [(1+r)^n - 1] / r. The present value is: PV = PMT x [1 - (1+r)^(-n)] / r. For an annuity due (payments at the beginning of each period), multiply either result by (1+r).

Understanding annuity values is crucial for retirement planning. If you save $500/month at 7% annual return for 30 years, the future value is approximately $566,000. The present value of that same stream of payments tells you what a lump sum equivalent would be worth today. Both perspectives help in making informed financial decisions about saving, investing, and retirement income planning.

## Frequently Asked Questions

**Q: What is the difference between an ordinary annuity and annuity due?**

A: An ordinary annuity makes payments at the end of each period (like a mortgage payment due at month's end). An annuity due makes payments at the beginning of each period (like rent due on the first of the month). Because annuity due payments are received earlier, they have slightly higher present and future values. The adjustment factor is simply multiplying by (1+r), where r is the periodic interest rate.

**Q: How are annuities used in retirement planning?**

A: Annuities serve two roles in retirement. During the accumulation phase, regular contributions to retirement accounts act as an annuity, and the future value formula shows how much you will have at retirement. During the distribution phase, withdrawing regular amounts from a portfolio is the reverse calculation, and the present value formula shows how long your money will last. Insurance companies also sell annuity products that guarantee income for life.

**Q: What is the present value of an annuity?**

A: The present value of an annuity is the current worth of all future annuity payments, discounted at a given interest rate. It answers: how much would I need to invest as a lump sum today to generate the same series of payments? For example, if an annuity pays $500/month for 20 years at 5%, the present value is about $75,700. This means you could either invest $75,700 today or make 240 payments of $500 to achieve the same outcome.

**Q: How does the interest rate affect annuity values?**

A: Higher interest rates increase the future value (your payments grow faster) but decrease the present value (future payments are discounted more heavily). For example, $500/month for 20 years at 5% has a future value of about $205,500, but at 8% it grows to about $294,500. Conversely, the present value drops from $75,700 at 5% to $59,800 at 8%. This relationship is crucial for understanding how rate changes affect retirement savings and income planning.

**Q: Should I buy a retirement annuity from an insurance company?**

A: Insurance annuities guarantee income for life, which eliminates longevity risk. However, they come with fees, limited liquidity, and typically lower returns than market investments. They make sense for a portion of retirement income to cover essential expenses. Consider the insurance company's financial strength, fees, inflation adjustment options, and whether a partial annuity allocation complements your other retirement income sources like Social Security and investment portfolios.

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Source: https://vastcalc.com/calculators/finance/annuity
Category: Finance
Last updated: 2026-04-21