The Future Value Formula, Explained with Examples

Published October 11, 2026

Free tool: Future Value Calculator→

Future value answers the question "what will this money be worth later?" It takes an amount you have today, adds any regular payments, and grows everything at an interest rate over a number of years. It's the core calculation behind savings plans, investment projections and retirement targets. This guide explains the formula, works through examples and shows how to use the free Future Value Calculator.

Future value of a lump sum

For a single amount invested today:

FV = PV × (1 + r ÷ n)^(n × t)

where PV is the present value (the amount today), r the annual interest rate as a decimal, n the number of compounding periods per year and t the number of years.

Example: $10,000 at 7% for 20 years:

• Compounded annually: 10,000 × 1.07^20 = $38,696.84
• Compounded monthly: 10,000 × (1 + 0.07 ÷ 12)^240 = $40,387.39

Future value of regular payments

For a payment made every month, the payments' future value is:

FV = PMT × ((1 + i)^N − 1) ÷ i

where PMT is the monthly payment, i the monthly rate (annual rate ÷ 12) and N the number of payments.

Adding $500 a month to the $10,000 for 20 years at 7%:

• The $10,000 grows to $40,387.39
• The 240 payments of $500 grow to $260,463.33
• Total future value: $300,850.72, from $130,000 invested, so $170,850.72 is growth

Payment timing: beginning or end of the month

Payments made at the start of each month have one extra month to grow than payments made at the end. In the example, switching to the beginning of the period raises the total to $302,370.09, about $1,500 more, for exactly the same money. Saving on payday rather than at the end of the month really does help a little.

What changes future value most

• Time. Money grows on its growth, so the last years add the most. Ten more years can more than double the result.
• The rate. At 5% instead of 7%, the same plan grows to far less, so assumptions matter.
• Regular payments. For most people, steady contributions build far more wealth than the starting amount.
• Compounding frequency. It matters less than you might think: monthly instead of annual compounding added about $1,700 to the $10,000 over 20 years.

How to use the Future Value Calculator

1. Open the Future Value Calculator.
2. Enter the present value (initial investment), the amount you have now; it can be 0.
3. Enter the monthly payment you'll add.
4. Enter the annual interest rate and the number of years.
5. Choose the compounding frequency, from annually to daily, and the payment timing: end or beginning of the period.
6. Read the results: the future value, the total invested, the total earnings and the return on investment, with charts and a year-by-year breakdown.

The compounding frequency applies to the starting amount; monthly payments earn the monthly rate.

Future value vs present value

Future value moves money forward in time; present value moves it back. If $10,000 today grows to $38,696.84 in 20 years at 7%, then $38,696.84 in 20 years is worth $10,000 today at that rate. The Present Value Calculator does the reverse calculation.

Frequently asked questions

What is future value?

The amount a sum of money, plus any regular payments, will grow to at a given interest rate over a given time. $10,000 at 7% a year becomes $38,696.84 after 20 years with annual compounding.

What's the difference between future value and compound interest?

Compound interest is the growth mechanism; future value is the result. A future value calculation uses compound interest to work out the final amount.

What rate should I use for future value?

For savings, use the account's rate. For investments, use a cautious long-term return and remember inflation: the Inflation Calculator shows what a future amount will buy in today's money.