Plain definition
Future value is the amount that cash available today will grow to after compounding at a stated rate for a stated number of periods. For annual compounding, future value equals today’s amount multiplied by one plus the annual rate for each year. It answers the opposite question from present value: instead of bringing future cash back to today, it moves today’s cash forward.
The result depends on the compounding convention. A quoted 8% annual rate compounded once a year is not the same calculation as a nominal rate compounded monthly. The period and rate must be stated together, or the result cannot be compared reliably.
Illustrative example
Monetary examples use Saudi riyals (SAR). The same principles apply in other currencies.
Suppose the company can invest for two years at 8% compounded annually. After the first year it becomes . After the second year it becomes : × 1.08 × 1.08.
If another option quotes 8% but compounds monthly, management must convert or model both options on the same basis before choosing. Looking only at the headline percentage can hide a different effective return and a different cash-access constraint.
| Opening cash | |
|---|---|
| Year-one growth factor | |
| Year-two growth factor | |
| Future value |
Future value assumes the stated rate and reinvestment can be achieved. It does not remove credit, liquidity, or currency risk.
Why it matters
It helps a company compare alternative uses of cash at the date when the decision will matter, such as a planned asset purchase or debt repayment. It also prevents a manager from treating an annual rate as if it described the same return under every compounding pattern.
Practical consequence
State the opening amount, rate type, compounding frequency, number of periods, and the date when the money will be available. Check whether the cash is actually locked up or can be withdrawn early, and compare the future value with the liquidity the business needs before that date.
