How to use this calculator
- Enter starting principal, continuous annual rate (%), years.
- Choose a display currency, then select Calculate. Results also update after a brief pause while you edit.
- Read the result with the assumptions below. Export details or save a second scenario to compare your choices.
Formula and method
Assumptions and limitations
No deposits, fees or tax. This is a limiting mathematical compounding model, not a description of every bank contract.
Worked example
With starting principal = 1000, continuous annual rate (%) = 5, years = 10, ending amount is approximately 1648.7213.
What the result means
A continuously compounded rate is a different quotation convention from an effective annual rate.
Common questions
How should I interpret ending amount?
A continuously compounded rate is a different quotation convention from an effective annual rate.
What should I check before using this result?
No deposits, fees or tax. This is a limiting mathematical compounding model, not a description of every bank contract.
Methodology and transparency
Calculation specification reviewed on 2026-10-14. Mathematical implementation is tested against independent reference fixtures. This does not imply review by a licensed financial professional. Read the testing and precision policy.