Annuity Calculator
Calculate the future value, present value, or required payment for an ordinary annuity. See how regular contributions grow over time with compound interest — entirely private and browser-based.
How Annuity Calculations Work
An annuity is a series of equal payments made at regular intervals over a specified period. The future value of an annuity tells you how much your regular payments will be worth at the end of the investment period, accounting for compound interest. The present value tells you how much a future stream of payments is worth in today's dollars.
This calculator computes the future value of an ordinary annuity — where payments are made at the end of each period. It also shows the present value equivalent, total contributions, and the interest earned over the investment horizon. Understanding these values is essential for retirement planning, loan analysis, and savings strategies.
Formulas
FV = PMT × ((1 + r)^n - 1) / r
PV = PMT × (1 - (1 + r)^(-n)) / r
Where PMT = payment per period, r = interest rate per period, n = total number of periods.
Future Value vs Present Value of Annuity
The future value of an annuity answers the question: "If I invest a fixed amount each period, how much will I have at the end?" This is useful for planning retirement savings or education funds. The present value of an annuity answers: "What is a stream of future payments worth today?" This is useful for evaluating pension buyouts, structured settlements, or determining the fair price of an income-producing investment.
Both calculations assume a constant interest rate and equal payments. In practice, interest rates fluctuate and some annuity products offer variable rates. This calculator provides a baseline projection that helps you understand the power of regular contributions combined with compound interest.
Types of Annuities
- Ordinary annuity: Payments made at the end of each period. Most common for retirement contributions, loan payments, and savings plans.
- Annuity due: Payments made at the beginning of each period. Rent payments and insurance premiums are typical examples. FV and PV are slightly higher than an ordinary annuity.
- Fixed annuity: Pays a guaranteed interest rate. Lower risk, predictable returns.
- Variable annuity: Returns depend on the performance of underlying investments. Higher potential returns but also higher risk.
Practical Applications
Annuity calculations are fundamental to many financial decisions. Use them to determine how much to save monthly to reach a retirement goal, evaluate whether a lump sum or annuity payout is better for a pension, compare savings plans with different contribution amounts and interest rates, or understand how loan payments break down between principal and interest. The time value of money means that starting earlier with smaller payments often outperforms larger payments started later.
Frequently Asked Questions
What is the difference between an ordinary annuity and an annuity due?
An ordinary annuity makes payments at the end of each period (like most retirement contributions and loan payments). An annuity due makes payments at the beginning of each period (like rent). This calculator computes ordinary annuity values. For annuity due, multiply the result by (1 + r) where r is the rate per period.
How does payment frequency affect the future value?
More frequent payments result in a slightly higher future value because each payment starts earning interest sooner. Monthly contributions grow more than annual contributions of the same total amount because of more frequent compounding. The difference can be significant over long time horizons.
What is present value of an annuity used for?
Present value tells you what a future stream of payments is worth today. It is used to evaluate pension lump-sum offers, determine fair prices for structured settlements, compare investment alternatives, and assess whether it is better to take a lump sum now or receive payments over time.
Can I use this for retirement planning?
Yes. Enter your planned monthly contribution, expected annual return rate (typically 6-8% for a diversified portfolio), and years until retirement. The future value shows your projected retirement savings. Keep in mind this does not account for inflation, taxes, or variable market returns.
What interest rate should I use?
For savings accounts and CDs, use the current APY offered. For retirement investments in stock market index funds, a common long-term historical average is 7-10% nominal or 5-7% inflation-adjusted. For conservative estimates, use a lower rate. Always consider your specific investment vehicle and risk tolerance.