How to Calculate the Future Value of an Investment | Business.org (2024)

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How to Calculate the Future Value of an Investment | Business.org (1)

Want to know if an investment will pay off down the road? Calculate its future value to help you decide if it will yield high enough dividends.

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Nov 29, 2022

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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.

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Compound interest vs. simple interest

Note that the equation above allows for the calculation of future value using 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 value calculation. However, the equation will look pretty different from what you're used to. You can check out Microsoft's tutorial on how to undergo the calculation of 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.

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

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.

Related reading

Future value calculation FAQ

You can calculate future value with compound interest using the 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)].

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.

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.

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Former Business.org staff writer Kylie McQuarrie has been writing for and about small businesses since 2014. Her work has been featured on SCORE.org, G2, and Fairygodboss, among others. She's worked closely with small-business owners in every industry—from freelance writing to real-estate startups—which has given her a front-row look at small-business owners' struggles, frustrations, and successes.

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FAQs

How to Calculate the Future Value of an Investment | Business.org? ›

The future value formula is FV=PV*(1+r)^n, where PV is the present value of the investment, r is the annual interest rate, and n is the number of years the money is invested. The Excel function FV can be used when there is a constant interest rate.

How to calculate the future value of investment? ›

The future value formula is FV=PV*(1+r)^n, where PV is the present value of the investment, r is the annual interest rate, and n is the number of years the money is invested. The Excel function FV can be used when there is a constant interest rate.

What is the future value of $1000 after 5 years at 8% per year? ›

Answer and Explanation: The future value of a $1000 investment today at 8 percent annual interest compounded semiannually for 5 years is $1,480.24.

What is the future value of $2928 invested for 8 years at 4.5 percent compounded annually? ›

$5,921.50. What is the future value of $2,928 invested for 8 years at 4.5 percent compounded annually?

What is the future value of $121307 invested today in an account that earns a 7.5% annual rate in 40 years? ›

FV = 121,307 * (1.075)^40 FV ≈ $1,029,463.55 Therefore, the future value of $121,307 invested today in an account that earns a 7.5% annual rate over 40 years would be approximately $1,029,463.55.

What is the future value of $10 000 in 20 years? ›

The table below shows the present value (PV) of $10,000 in 20 years for interest rates from 2% to 30%. As you will see, the future value of $10,000 over 20 years can range from $14,859.47 to $1,900,496.38.

How much will 100k be worth in 30 years invested? ›

The amount of $100,000 will grow to $432,194.24 after 30 years at a 5% annual return. The amount of $100,000 will grow to $1,006,265.69 after 30 years at an 8% annual return. Where, FV = Future value of the amount invested today on maturity.

What is the future value of $800 at 8% after 6 years? ›

The future value of $800 at 8 percent after six years equals $1,269.50. Where, PV = Present value = $800. i = interest rate = 8%

What is the future value of $10000 on deposit for 5 years at 6% interest compounded annually? ›

Hence the required future value is $13,000.

What is the future value of $3008 invested for 10 years at 5.3 percent compounded annually? ›

Question: What is the future value of $3,008 invested for 10 years at 5.3 percent compounded annually? $8,238.14.

What is the simple interest on $600 invested for five years is $210? ›

That is, if the interest on $600 invested for 5 years is $210, then the interest rate is 7% simple interest per annum.

What is the future value of $500 invested at 8 percent for 5 years? ›

The future value of $500 invested at 8 percent for five years Future value $500 * (1+ 0.08) ^5 Future Value = $734.66 c.

What is the future value of $1000 deposited for one year earning 5 percent? ›

Future Value: $1,000 * (1 + 5%)^1 = $1,050

In other words, assuming the same investment assumptions, $1,050 has the present value of $1,000 today.

What will be the value of $50,000 after 20 years? ›

Considering 9% returns, an investment of Rs 50,000 can fetch you Rs 2,80,220 in fd in 20 years. Many people even ensure to use the FD Calculator to correctly estimate how much they can earn after a certain time period based on the ROI.

What is the future value of $1200 invested for 20 years at a rate of 6? ›

Final answer: The future value of a $1,200 investment at a 6% interest rate for 20 years is found using the compound interest formula and results in approximately $3,849.

What is the future value of $4900 deposited each year for 3 years earning 6% per year? ›

The future value of $4,900 deposited today and kept in an account for 3 years earning 6% per year is $5,835. A present asset's future value (FV), which is based on an estimated rate of growth, is its worth at a later time.

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