The future value formula helps you calculate the future value of an investment (FV) for a series of regular deposits at a set interest rate (r) for a number of years (t). The future value calculation allows investors to predict, with varying degrees of accuracy, the amount of profit that can be generated by different investments. Future value, or FV, is what money is expected to be worth in the future. Typically, cash in a savings account or a hold in a bond purchase earns compound interest and so has a different value in the future. 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.

Should you wish to have a visual breakdown of deposits and interest over time, give our compound interest calculator a try. In this article we’ll delve into the formulae available and then go through a couple of examples. At the bottom of this article, you’ll find an interactive formula, which will allow you to enter figures of your choosing and see how the calculation is made. Should you wish to read it, we also have an article discussing the compound interest formula. In conclusion, the implied future value (FV) of the bond increases with a higher frequency of compounding. If we enter our assumptions into the Excel formula, we arrive at a future value (FV) of $1,485.

## Future Value: Definition, Formula, How to Calculate, Example, and Uses

If you’re searching for accounting software that’s user-friendly, full of smart features, and scales with your business, Quickbooks is a great option. Using the formula requires that the regular payments are of the same amount each time, with the resulting value incorporating interest compounded over the term. The more frequently that the deposit is compounded, the greater the amount of interest earned, which we can confirm by adjusting the compounding frequency. However, if the interest compounds semi-annually, the investment is worth $121 instead. To learn more about or do calculations on present value instead, feel free to pop on over to our Present Value Calculator. For a brief, educational introduction to finance and the time value of money, please visit our Finance Calculator.

To understand the core concept, however, simple and compound interest rates are the most straightforward examples of the future value calculation. 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. With a simple annual interest rate, your $1,000 investment has a future value of $1,500. With simple interest, an investment accrues interest based solely on the initial investment amount.

## Annuity vs. Annuity Due

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. Since the number of compounding periods is equal to the term length (8 years) multiplied by the compounding frequency (2x), the number of compounding periods is 16. The number of compounding periods is equal to the term length in years multiplied by the compounding frequency. The calculated future value is a function of the interest rate assumption – i.e. the rate of return earned on the original amount of capital invested, or the present value (PV).

- The Future Value (FV) refers to the implied value of an asset as of a specific date in the future based upon a growth rate assumption.
- There are several actions that could trigger this block including submitting a certain word or phrase, a SQL command or malformed data.
- With a simple annual interest rate, your $1,000 investment has a future value of $1,500.
- With simple interest, an investment accrues interest based solely on the initial investment amount.

If we assume that the term length is 8 years – the following are the inputs to calculate the future value of the deposit. Suppose a corporate bond has a present value (PV) of $1,000 with a stated annual interest rate of 5.0%, which compounds on a semi-annual basis. The more compounding periods there are, the greater the future value is going to be. For investors and corporations alike, the future value is calculated to estimate the value of an investment at a later date to guide decision-making. The Future Value (FV) refers to the implied value of an asset as of a specific date in the future based upon a growth rate assumption. Future value takes a current situation and projects what it will be worth in the future.

## The future value formula

Whereas future value calculations attempt to figure out the value of something in the future, present value attempts to figure out what something in the future will be worth today. 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. So the bond has increased from $1,000 to $1,485 after eight years, given the annual interest rate of 5.0% compounded on a semi-annual basis.

## Tools for calculating future value

For example, future value would estimate the value of $1,000 today invested at 10% interest for 5 years. Alternatively, present value takes a future situation and projects what it is worth today. For example, present value would estimate how much money you would need to have today to invest at 10% for 5 years to end up with $1,000.

Let’s assume we have a series of equal present values that we will call payments (PMT) and are paid once each period for n periods at a constant interest rate i. The future value calculator will calculate FV of the series of payments 1 through n using formula (1) to add up the individual future values. Both concepts rely on the same financial principles (i.e. discount or growth rates, compounding periods, initial investments, etc.).

Future value (FV) is a financial concept that assigns a value to an asset based on estimated variables such as future interest rates or cashflows. It may be useful for an investor to know how much their investment may be in five years given an expected rate of return. This concept of taking the investment value today, applying expected growth, and calculating what the investment will be in the future is future value. With simple interest, it is assumed that the interest rate is earned only on the initial investment. With compounded interest, the rate is applied to each period’s cumulative account balance. In the example above, the first year of investment earns 10% × $1,000, or $100, in interest.