# Future Value

#### Full Definition of Future Value

Future value, often expressed as FV is a financial term, which describes how much a given amount of money will be worth after interest has accrued.

Future value is referred to as the expected value of the present sum of money in future. Future value is a measurement that tells the amount of money that can be received for any present investment in future. The future value of any investment depends mainly on two things the number of compounding periods and interest rates.

## Calculation of future value

Calculation of future value is quite simple. Future value is used in the calculation of the time value of money.

### Future value of a present sum of money

Future value of money = original amount of money × ( 1 + interest rate per period of time) Number of periods = P * (1 + i) n

Where P = original amount of money (principal amount), n = number of periods, i = Interest rate

Calculation of future value can be done by using simple interest or compound interest.

### Calculation of future value using simple interest

In this case, only simple interest is taken into account without compounding. Thus, the formula stands as:

FV = PV * (1+rt)

Where PV = present value or the principal amount, t = time measured in years, r = interest rate per annum

This measure is seldom used as compound interest measure.

### Calculation of future value using compound interest

The formula for calculating future compound interest using compound interest is as follows:

FV = PV * (1 + i)t

Where, PV = present value or principal value, t = number of compounding periods, i = interest rate for that period for which value is calculated

## Explaining future value by using a simple example

A sum of \$20,000 is invested today; the rate of interest drawn is at 6%, which is compounded annually. The amount of money can be withdrawn in 5 years time is the calculation of the future value of money.

Here, we find PV = \$20,000, i = 0.06, t = 5

Since, FV = PV * (1 + i)t = 20000 * (1 + .06) 5 = 20000 * (1.3382255776) = 26, 6764.51

Thus, the future value is 26, 6764.51

#### Cite Term

To help you cite our definitions in your bibliography, here is the proper citation layout for the three major formatting styles, with all of the relevant information filled in.

Page URL
https://payrollheaven.com/define/future-value/
Modern Language Association (MLA):
Future Value. PayrollHeaven.com. Payroll & Accounting Heaven Ltd. September 23, 2021 https://payrollheaven.com/define/future-value/.
Chicago Manual of Style (CMS):
Future Value. PayrollHeaven.com. Payroll & Accounting Heaven Ltd. https://payrollheaven.com/define/future-value/ (accessed: September 23, 2021).
American Psychological Association (APA):
Future Value. PayrollHeaven.com. Retrieved September 23, 2021, from PayrollHeaven.com website: https://payrollheaven.com/define/future-value/

#### Definition Sources

Definitions for Future Value are sourced/syndicated and enhanced from:

• A Dictionary of Economics (Oxford Quick Reference)
• Oxford Dictionary Of Accounting
• Oxford Dictionary Of Business & Management

This glossary post was last updated: 27th March, 2020 | 7 Views.