Continuous compounding: Understanding Continuous Compounding as a Model
Continuous compounding uses an exponential growth factor rather than a fixed number of crediting dates. It is useful in financial mathematics and comparison exercises.
Use the Continuous compounding Calculator to enter your own figures and compare the result with the worked example below.
Continuous compounding formula
FV = P × e^(r×t)
Worked example
| Item | Example value |
|---|---|
| Principal | 1000 USD |
| Annual continuously compounded rate | 5 % |
| Time | 2 years |
| Continuous compounding | 1,105.170918 USD |
These are illustrative inputs, not current prices, rates or recommended targets. Where a currency is shown, keep all comparable money amounts in the same currency; conversion examples identify the two sides separately.
How to interpret the result
The continuously compounded rate is not interchangeable with an effective annual rate. Actual account terms may use daily or monthly compounding.
Related calculations
Method and further reading
The example follows the FinMathly calculator method. For broader background, see Investor.gov: Introduction to investing. The background resource may use jurisdiction-specific terms; it does not replace the assumptions of this calculator.
Featured photograph: Pexels.