Future value (F)
—
- F
- future value
- P
- single payment today
- i
- interest rate per period
- n
- number of periods
Worked example · $100 invested today at 5% for 7 years grows to $141.
Eq.01 · Single payment
Compound Amount Formula Calculator
Use this compound amount formula calculator to roll a single payment P forward period by period into future value F.
F = P (1 + i)^n
How to use this calculator
- 1 Enter the present payment as P (the amount you have today)
- 2 Enter the interest rate per period as i and the number of periods as n
- 3 Read F — the future value your payment grows into
Examples
$100 invested for 7 years
This is the default compound amount example: a single payment invested today at a steady annual rate, left untouched to compound.
Given: P = $100, i = 5% per year, n = 7 years
Result: F = $141
A $10,000 investment over 10 years
A larger lump sum invested at a higher rate shows how compound amount accelerates over a longer horizon.
Given: P = $10,000, i = 6% per year, n = 10 years
Result: F = $17,908
A short 3-year deposit
Even a small deposit compounds meaningfully over a short period at a higher rate.
Given: P = $500, i = 8% per year, n = 3 years
Result: F = $630
Frequently asked questions
What is compound amount?
Compound amount is the future value of a single payment today after it earns compound interest for n periods.
What is the compound amount formula?
F = P(1 + i)^n
How do I calculate compound amount?
Enter present payment P, interest rate i, and periods n. The calculator returns future value F.
What is an example of compound amount?
$100 invested today at 5% for 7 years grows to $141.
What is the F/P factor?
The F/P factor multiplies P to get F for a single payment.