Grow money with continuous compounding using the constant e.
Please do not make financial decisions based on these results.
What is the Continuous Compound Interest Calculator?
Grow money with continuous compounding using the constant e. To use the Continuous Compound Interest Calculator, enter principal, rate, years; it returns future value, interest earned, effective annual rate, and shows them instantly as you type.
How investments grow
Growth depends on how much you invest, how long you stay invested and the rate of return. Because returns compound, time is the most powerful input. Start with the compound interest calculator to see the effect, then use the investment calculator for contributions and taxes.
How to use the Continuous Compound Interest Calculator
- Fill in the fields. You will need Principal ($), Rate (%), Years. Use a rate of return you consider realistic; small changes compound into large differences. Fields marked optional can stay at zero.
- Read the result. The highlighted box gives the Future value, and the cards below show Interest earned, Effective annual rate. Tables and charts break it down further.
- Test other scenarios. Results update as you type. Change one value at a time to see what drives the answer, and press Reset to go back to the defaults.
Formula and how it works
Example with real numbers
Here is the Continuous Compound Interest Calculator using the default values shown in the calculator above:
Inputs
| Principal ($) | 10,000 |
|---|---|
| Rate (%) | 5 |
| Years | 10 |
Results
| Future value | $16,487.21 |
|---|---|
| Interest earned | $6,487.21 |
| Effective annual rate | 5.13% |
With these inputs the calculator returns Future value: $16,487.21. Change any value in the calculator to see how the result moves.
What if you change one input?
Sensitivity check: raising Principal ($) from 10,000 to 12,000 (about 20% higher) and leaving everything else as in the example above changes the results like this:
| Result | Example | After the change | Change |
|---|---|---|---|
| Future value | $16,487.21 | $19,784.66 | +20% |
| Interest earned | $6,487.21 | $7,784.66 | +20% |
| Effective annual rate | 5.13% | 5.13% | 0% |
The input that moves the result most is the one to check twice. Change it in the calculator above to test your own case.
What the results tell you
The results panel of the Continuous Compound Interest Calculator reports Future value, interest earned and effective annual rate. Compare these figures while changing one input at a time, and use the related calculators below to look at the same situation from another angle.
Method and limits. This calculator applies the formula in the section above to your inputs, in your browser; nothing you enter is stored on our servers. Investment returns are not guaranteed. The result shows what the numbers you enter would produce, not what the market will do. It is for information, not financial, tax or legal advice.
Frequently asked questions
When is continuous compounding used?
It is a theoretical limit used in finance models, as compounding more often approaches e^(rt).
What rate of return should I assume?
There is no guaranteed rate. Test a range of conservative and optimistic rates, and remember that fees and inflation reduce your real return.
Are investment returns guaranteed?
No. Real returns vary. Use these tools to compare scenarios, not to predict results.
Are the results guaranteed?
No. Results depend entirely on the numbers you enter and the formulas shown on this page. Please do not make financial decisions based on them alone; confirm important figures with a licensed professional.
Related investment calculators
- Compound Interest Calculator
- Compound Interest Rate Calculator
- Effective Interest Rate Calculator
- Interest Calculator
- Money Market Account Calculator
- Margin Interest Calculator
- CAGR Calculator (Compound Annual Growth Rate)
- Compound Growth Calculator
- Interest Rate Calculator
- Simple Interest Calculator
- Finance Calculator
- APY Calculator