Future value (F)
—
- F
- future value
- A
- uniform amount per period
- i
- interest rate per period
- n
- number of periods
Worked example · $5,000 saved each year at 5% for 7 years reaches $40,710.
Eq.03 · Uniform series
Uniform Series Compound Amount Calculator
Use this uniform series compound amount calculator — also an annuity compound amount calculator — to find the future value F when equal payments A compound each period. Applies the series compound interest formula for an equal payment series.
F = A [(1 + i)^n - 1] / i
How to use this calculator
- 1 Enter the equal payment amount as A (each period's deposit)
- 2 Enter interest rate i and number of periods n (use a monthly rate and months for monthly contributions)
- 3 Read F — the uniform series compound amount, or total future value
Examples
$5,000 saved every year for 7 years
This is the default uniform series compound amount example — a steady annual deposit compounding to a future total. It is the same formula behind annuity compound interest.
Given: A = $5,000 per year, i = 5% per year, n = 7 years
Result: F = $40,710
Retirement savings of $500 a month
A long monthly savings habit shows annuity compound interest at work over decades — a common way people search for this calculator.
Given: A = $500 per month, i = 0.4% per month, n = 360 months (30 years)
Result: F = $401,074
Quarterly business savings
Equal payment series compound amount is not limited to years or months — here a business sets aside a fixed amount each quarter.
Given: A = $1,500 per quarter, i = 1.25% per quarter, n = 20 quarters (5 years)
Result: F = $33,845
Frequently asked questions
What is compound annuity?
Compound annuity — also called uniform series compound amount — is the future value of equal payments made each period, with each deposit earning compound interest.
What is the uniform series compound amount formula?
F = A [(1 + i)^n - 1] / i, also known as the annuity compound interest formula.
How do I calculate uniform series compound amount?
Enter equal payment A, interest rate i, and periods n. The calculator returns future value F.
What is an example of uniform series compound amount?
$5,000 saved each year at 5% for 7 years grows to $40,710.
What is the F/A factor?
The F/A factor multiplies uniform payment A to get future value F.