Continuous Compound Interest Calculator
Enter the principal, annual rate and number of years to get the continuously compounded future value and interest.
Result
How to use
- Enter your values in the fields above.
- Press Calculate to see your result instantly.
- Use the Share button to copy a link to your result.
About this calculator
Continuous compounding is the theoretical limit of compound interest as the number of compounding periods per year approaches infinity — instead of compounding monthly, daily, or even hourly, interest is added constantly. The result is described by the formula A = P·e^(rt), where P is the principal, r the annual interest rate, t the time in years, and e is Euler's number (≈2.71828).
While no real bank account compounds truly continuously, the formula is a cornerstone of financial mathematics — it's the limiting case used to price options (in the Black-Scholes model), model population and radioactive decay, and set the theoretical ceiling on how much a given nominal rate can actually earn. This calculator lets you compare that continuous limit against ordinary periodic compounding to see how close daily or monthly compounding already gets to it.
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