Future Value of Annuity Calculator

See how regular annual contributions grow with compound interest.

How the Math Works

The Future Value of Annuity Calculator uses the formula FV = PMT × ((1+r)^n - 1) ÷ r to determine how much your regular deposits will grow over time. In this equation, PMT represents your periodic payment amount, r is the interest rate per period (expressed as a decimal), and n is the total number of periods. The formula accounts for compound interest, which means each payment earns interest that also earns interest. This exponential growth is captured by the (1+r)^n component, while the subtraction of 1 and division by r adjusts for the fact that payments are made at regular intervals rather than as a single lump sum at the beginning.

Practical Applications

To use this calculator practically, first determine your regular deposit amount (PMT), such as your annual contribution to a retirement account. Next, find the annual interest rate (r) your investment earns - for example, 5% becomes 0.05 in the formula. Finally, count the total number of years (n) you plan to make these deposits. For monthly calculations with annual rates, divide the rate by 12 and multiply years by 12. Banks, financial advisors, and investment firms use this calculation to project retirement savings, evaluate investment strategies, and help clients understand the long-term impact of their saving patterns. This tool is essential for comparing different investment scenarios and making informed financial decisions.

Day-to-Day Use

In everyday life, this calculator helps you plan major financial goals like buying a home, funding education, or building retirement security. By entering small weekly or monthly savings amounts, you can see how consistent contributions - even as little as $20 per week - can accumulate into substantial sums over decades thanks to compound interest. Understanding this concept helps you make better decisions about whether to take a higher-risk investment with higher potential returns or a safer option with lower growth. It also enables you to evaluate if you can afford to increase your contributions now to achieve your goals faster, or if you need to adjust your timeline. This knowledge transforms abstract financial planning into concrete, achievable steps for securing your future.

Worked example

$5,000/yr at 6% for 20 yr → ~$183,928.

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