Future Value Calculator — Compound Interest Formula & Growth Chart
Calculate the future value of any investment with compound interest and optional monthly contributions. See the rendered formula with your numbers plugged in, effective annual rate, and a year-by-year growth breakdown table.
Future Value Calculator
Results update instantly as you type
Enter Values
Investment Period
10 years
Compounding
Annual
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FV Formula — With Your Numbers
FV = PV × (1 + r/m)^(n×m) + PMT × [((1 + r/m)^(n×m) − 1) / (r/m)]
FV = $10.0K × (1 + 7.0%/1)^(10×1)
+ $6.0K × [((1 + 7.0%/1)^(10×1) − 1) / (7.0%/1)]
= $102,570
Rate per Period
7.0000%
7.000000000000001% ÷ 1
Total Periods
10
10 yrs × 1/yr
Effective Annual Rate
7.000%
(1 + r/m)^m − 1
Year-by-Year Growth
| Year | Balance | Contributions | Growth |
|---|---|---|---|
| Year 1 | $16.9K | $16.0K | $919 |
| Year 2 | $24.3K | $22.0K | $2.3K |
| Year 3 | $32.3K | $28.0K | $4.3K |
| Year 4 | $40.8K | $34.0K | $6.8K |
| Year 5 | $50.0K | $40.0K | $10.0K |
| Year 6 | $59.8K | $46.0K | $13.8K |
| Year 7 | $70.3K | $52.0K | $18.3K |
| Year 8 | $81.6K | $58.0K | $23.6K |
| Year 9 | $93.7K | $64.0K | $29.7K |
| Year 10 | $106.6K | $70.0K | $36.6K |
The Formula
The future value formula calculates how much a present investment will grow to at a given interest rate over time, including regular contributions. The compounding frequency (m) has a significant effect — more frequent compounding accelerates growth.
Variable Definitions
Future Value
The total value of the investment at the end of the term, including all growth and contributions.
Present Value
The initial lump sum invested today.
Annual Rate
The annual interest rate expressed as a decimal (e.g., 7% = 0.07).
Compounding Periods/Year
How many times per year interest compounds — 1 (annual), 2 (semi-annual), 4 (quarterly), 12 (monthly), or 365 (daily).
Number of Years
The total time the money is invested.
Effective Annual Rate
The true annual rate accounting for compounding: (1 + r/m)^m − 1. Higher compounding frequencies produce a higher EAR.
How to Use This Calculator
- 1
Enter the present value — the lump sum you are investing today.
- 2
Enter the annual interest rate you expect to earn.
- 3
Select the compounding frequency (monthly is standard for savings accounts; annual is simpler for long-term projections).
- 4
Optionally add a monthly contribution to see the effect of regular investing (dollar-cost averaging).
- 5
Review the formula panel below the results to see exactly how the math works with your numbers plugged in.
Common Applications
- Project the future value of a lump sum investment to see how compound interest grows your money over a chosen time period.
- Model the effect of adding regular monthly contributions alongside your initial investment using dollar-cost averaging.
- Compare how different compounding frequencies and return rates affect the final value of your investment portfolio.
Future value combines the growth of your initial principal with the compounding effect of regular contributions over time
Understanding the Concept
The Future ValueThe value of an asset or investment at a specified date in the future, accounting for growth or interest. calculator shows how money grows over time with compound interest. Small changes in the rate, time period, or compounding frequency produce dramatically different outcomes. The formula panel below the results renders the mathematical formula with your actual numbers plugged in and walks through each step. This calculator is essential for understanding the time value of money — the core concept that a dollar today is worth more than a dollar tomorrow because it can be invested and earn returns. Monthly contributions (systematic investing) compound alongside the principal, demonstrating the power of dollar-cost averaging.
Frequently Asked Questions
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