✦ Free Financial Tool

Future Value of Money Calculator

See what a sum of money today will be worth in the future. Enter an amount, a rate of return, a time period and a compounding frequency to project the future value of your money.

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The Concept

What is the future value of money?

The future value of money is what an amount you hold today will be worth at a later date once it has earned a rate of return. It is the practical side of the time value of money: a dollar today is worth more than a dollar promised years from now, because today's dollar can be invested and grow in the meantime. This calculator turns that idea into a number — enter an amount, a rate, a number of years and how often interest compounds, and it returns the projected future value along with how much of that figure is your original money and how much is growth.

This page is built for a single sum of money — a bonus, an inheritance, a maturing CD, or any lump amount you want to value years ahead. If you also plan to add money regularly, the full future value calculator layers recurring monthly payments on top of the lump sum, and the homepage compound interest calculator adds tax and inflation adjustments on the same core math.

How To

How to use this calculator

Four inputs define the result, and you can change any of them to see the effect instantly:

  • Amount of money today — the present sum you want to project forward.
  • Annual interest rate — the yearly rate of return you expect the money to earn.
  • Number of years — how far into the future you want to look.
  • Compounding frequency — how often interest is added: annually, quarterly, monthly or daily. Monthly is the default and matches the rest of the site.

The result shows the future value, your starting amount, and the interest earned on top. Open the year-by-year breakdown to see the balance climb one year at a time.

The Formula

The future value of money formula

For a single sum, the future value formula is compact:

FV = PV × (1 + r/n)n×t

Here PV is the present value (your amount today), r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. The key detail is that the period count sits in the exponent — which is why money grows along a curve rather than a straight line. Each period the rate is applied to a balance that already includes every previous period's growth. With monthly compounding, a 7 percent annual rate becomes about 0.583 percent a month, applied twelve times a year.

This formula values a one-time sum only. Regular contributions are a separate annuity calculation, because each deposit lands at a different time and compounds for a different length of time — the future value with monthly contributions guide covers that case, and the future value formula guide walks through every variable.

Example

Example: what $10,000 grows to

Here is how a $10,000 amount grows at a 7 percent annual rate, compounded monthly, over different time periods. The figures come straight from the formula above.

YearsFuture valueInterest earned
5 years$14,176$4,176
10 years$20,097$10,097
20 years$40,387$30,387
30 years$81,165$71,165

Notice how the growth accelerates. The money roughly doubles in the first decade, but the jump from 20 to 30 years adds more than $40,000 — because those final years are applied to a much larger balance. That is the time value of money working in your favour.

Time Value

Why money is worth more in the future

Money set aside today is worth more later for one simple reason: it earns a return while it waits. That is the engine behind the future value of money, and it is why valuing money in the future — rather than just counting today's dollars — matters for almost every financial decision, from comparing a lump sum offered now against a larger one offered later, to deciding whether to invest a windfall or spend it.

There is an important caveat. The future value shown here is nominal — the raw number of dollars. Inflation gradually reduces what each of those dollars can buy, so the real, purchasing-power value is lower. To strip inflation out and see the result in today's money, use the inflation option on the compound interest calculator. To put a future target into action, the savings growth calculator and retirement calculator turn a future value goal into a monthly plan.

Compounding

How compounding frequency changes the result

Compounding frequency is how often earned interest is added back to the balance so it can start earning interest itself. The more often that happens, the slightly higher the future value. Here is the same $10,000 at 7 percent over 20 years at each frequency the calculator offers:

Compounding frequencyFuture value
Annually$38,697
Quarterly$40,064
Monthly$40,387
Daily$40,547

The gap between annual and daily compounding here is under $2,000 on $10,000 over two decades — real, but small next to the effect of the rate and the time period. The rate and the number of years do the heavy lifting; frequency is a finishing touch.

Assumptions

Assumptions behind the numbers

  • A constant rate. The calculator applies the same rate every period. Real returns vary year to year, so treat the result as a smooth estimate, not a guarantee.
  • No additional deposits. This page values a single lump sum. To add recurring contributions, use the future value calculator.
  • Nominal dollars. Results are not adjusted for inflation or tax, which both reduce real, after-tax growth.
  • Monthly compounding by default. The default matches the rest of the site; you can change it to annual, quarterly or daily.
FAQ

Frequently Asked Questions

The future value of money is what a sum you hold today will be worth after it earns a rate of return over time. A $10,000 amount growing at 7 percent a year, compounded monthly, becomes about $40,387 after 20 years. The calculator works it out from your amount, rate, time period and compounding frequency.
For a single sum it is FV = PV × (1 + r/n) raised to the power of n × t, where PV is the amount today, r is the annual rate, n is the number of compounding periods per year, and t is the number of years. This calculator uses that formula and lets you choose how often interest compounds.
Enter 10,000 as the amount, your expected annual rate, and the number of years. At 7 percent compounded monthly, $10,000 grows to about $20,097 in 10 years and about $40,387 in 20 years. Change the rate or the number of years to match your own situation.
Yes, but only modestly at typical rates. The same $10,000 at 7 percent over 20 years grows to about $38,697 compounded annually, $40,387 compounded monthly, and $40,547 compounded daily. More frequent compounding earns slightly more because interest starts earning interest sooner.
No. The figure shown is nominal — the actual number of dollars in the future. It does not account for inflation reducing what those dollars can buy. To see the result in today's purchasing power, use the inflation option on the compound interest calculator, which discounts the nominal value back to real terms.
This tool focuses on the future value of a single sum of money and lets you choose the compounding frequency. The full future value calculator adds recurring monthly payments on top of the lump sum, which is the better choice if you also plan to contribute regularly over time.