Future Value Calculator
The future value (FV) calculator determines how much a sum of money invested today will be worth at a future date, accounting for compound interest and optional periodic contributions. It applies the time value of money principle: a dollar today is worth more than a dollar tomorrow because it can be invested and earn returns over time.
You can model both a one-time lump-sum investment and regular contributions (monthly or annual) at any compounding frequency — annually, semi-annually, quarterly, monthly, or daily. The results show a clear breakdown of your initial principal, total contributions, and the interest earned, so you can visualize exactly how compounding accelerates your wealth over time.
How it works
FV (lump sum) = PV × (1 + r/n)^(n×t), where r is the annual rate, n is compounding periods per year, and t is years. FV (annuity) = PMT × ((1 + r_p)^N − 1) / r_p, where r_p is the effective rate per contribution period and N is the total number of contributions. The total FV is the sum of both.
Use cases
- Projecting the future value of a retirement savings account
- Estimating how a college fund will grow with monthly deposits
- Comparing investment scenarios with different compounding frequencies
- Evaluating the long-term effect of starting to save early vs. late
- Planning lump-sum investments and deciding between reinvestment strategies
Frequently asked questions
How do you calculate the future value of an investment?
For a lump sum, use FV = PV × (1 + r/n)^(n×t), where PV is the amount invested today, r is the annual rate, n is the number of compounding periods per year, and t is the number of years. If you also make regular contributions, add the annuity portion: PMT × ((1 + r_p)^N − 1) / r_p. The calculator combines both and shows principal, contributions, and interest separately.
What is the difference between present value and future value?
Present value (PV) is what a sum of money is worth today, while future value (FV) is what it will grow to at a future date after earning compound returns. The gap between them reflects the time value of money: a dollar today is worth more than a dollar tomorrow because it can be invested and earn returns in the meantime.
How much difference do monthly contributions make to future value?
Regular contributions often end up driving most of the final balance, because each deposit starts compounding from the moment it is made. Even modest monthly amounts add up over long horizons, which is why starting early matters so much. Use the calculator's breakdown to compare how much of your result comes from contributions versus interest.
Does the compounding frequency change the result?
Yes — for the same nominal annual rate, more frequent compounding (monthly or daily instead of annually) produces a slightly higher future value, because interest starts earning interest sooner. The effect is modest at low rates but grows with higher rates and longer time horizons. The calculator lets you switch between annual, semi-annual, quarterly, monthly, and daily compounding to compare.
Should I account for inflation when calculating future value?
The standard future value formula gives a nominal result, meaning it does not adjust for inflation. To estimate purchasing power, you can use a real rate of return — roughly your expected annual return minus expected inflation — as the interest rate input. This is especially important for long-term goals like retirement, where inflation compounds too.