How To Calculate Future Value Of Money

How to Calculate the Future Value of an Investment

Want to know if an investment will pay off down the road? Calculating its future value, or FV, helps you decide if your investment will yield high enough dividends to warrant the money you put down.

Published on February 16, 2021

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Last Updated: several months ago

We recently updated this page to fix a formatting issue with the superscript. All superscripting (and formulas) are now correct; we regret the earlier formatting error.

Stock markets are inherently volatile. Sudden upheavals—most recently the COVID-19 crisis—can send the market reeling, which makes predicting your investment's exact future value pretty tricky.

But while you can't foretell exactly how or when the market could change, a (relatively) simple formula can help you predict your stock's future value based on current market conditions: the future value formula.

The future value formula

There are a few different versions of the future value formula, but at its most basic, the equation looks like this:

future value = present value x (1+ interest rate)ⁿ

Condensed into math lingo, the formula looks like this:

FV=PV(1+i)ⁿ

In this formula, the superscript n refers to the number of interest-compounding periods that will occur during the time period you're calculating for.

For instance, let's say you're purchasing stock valued at $1,000 with a yearly interest rate of 10%. If you want to know your investment's future value after five years, your equation would look like this:

FV = $1,000 x (1 + 0.1)⁵

After running the numbers, you'll find that your investment's future value after five years is $1,610.

Compound interest vs. simple interest

Note that the future value equation above calculates an investment's future value with compound interest, not simple interest. With compound interest, an asset earns interest on both the initial deposit and the interest that accrues each year. In other words, you earn interest on your interest.

With simple interest, an investment accrues interest based solely on the initial investment amount. The interest that adds up as the years pass comes from only your principal amount, not the interest earned on that principal.

If you're trying to calculate the value of an investment that accrues simple interest, your future value calculation will look like this:

future value = present value x [1 + (interest rate x time)]

Simplified into math values, the FV formula looks more like this:

FV = PV[1+(r x t)]

Returning to our example above, the calculation for the five-year value of a $1,000 investment and 10% (simple) interest rate looks like this:

FV = $1,000 [1 + (0.1 X 5)]

With a simple annual interest rate, your $1,000 investment has a future value of $1,500.

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Tools for calculating future value

If you know your way around a graphing calculator, you can work out an investment's future value by hand, using the equations above. You can also use an online future values calculator or run the formula on spreadsheet software like Excel or Google Sheets.

For instance, on Excel, if you go to the Formulas tab, then the Financial tab, you can click "FV" to generate a future values calculation. However, the equation will look pretty different from what you're used to. You can check out Microsoft's tutorial on how to calculate future value in Excel . . . or, instead of using the Excel-generated formula, you can just enter the numbers you're running and create an equation using the = sign.

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Additional investment terms

Spreadsheet software and online calculators can also help you make these future value–related calculations:

Net present value, or the difference between cash inflow and outflow over the course of an investment
The future value of an ordinary annuity, which is a regular payment made on an asset (such as property) or received from an investment (such as interest on a bond)
The future value of a growing annuity, which is an increasing payment made or received on a regular schedule

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Future value calculation FAQ

How do I calculate future value?

You can calculate future value with compound interest using this formula: future value = present value x (1 + interest rate)n. To calculate future value with simple interest, use this formula: future value = present value x [1 + (interest rate x time)].

What does n stand for in the future value formula?

In the future value formula, n stands for the number of interest-compounding periods that occur during a specified time period. For instance, if you're calculating an investment's worth after five years, and interest on the investment is compounded annually, n would be 5 in the equation.

How do you calculate future value on a calculator?

Depending on the model, your calculator might be equipped with a built-in FV calculation. For instance, on the Texas Instruments 84 model (the most popular calculator for math and finance classes), you can find the formula under the calculator's finance section. Alternatively, if you have a graphing calculator that can perform more complex math functions, just enter the numbers and run the calculation yourself.

For example, if you're trying to calculate the future value of a $500 investment with a 5% compounding annual interest rate over a period of 10 years, you'd key this into your graphing calculator:

500(1+.05)^10

You can also find a variety of future value calculators online.

The takeaway

Making money on an investment is rarely a given—the stock market is too unruly for that. But using the future value formula before you invest can increase your chances of picking the right stock at the right time.

Trying to make your own business more appealing to investors? Check out our piece on the most important financial documents for showcasing your financials for would-be shareholders.

Disclaimer

At Business.org, our research is meant to offer general product and service recommendations. We don't guarantee that our suggestions will work best for each individual or business, so consider your unique needs when choosing products and services.

Kylie McQuarrie

Written by

Kylie McQuarrie

Kylie McQuarrie has been writing for and about small businesses since 2014. Prior to writing full-time, she worked with a variety of small-business owners (from freelance writers to real-estate solopreneurs), which gave her a front-row look at small-business owners' struggles, frustrations, and successes. Currently, she's Business.org's accounting and payroll staff writer. Her work has been featured on SCORE.org, G2, and Fairygodboss, among others.

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