Continuous Compounding Calculator
See the future value when interest compounds continuously.
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 compounded at every instant. It is calculated with the formula A = Pe^(rt), where P is the principal, r is the annual interest rate, t is time in years, and e is Euler's number (approximately 2.71828).
While few real bank accounts actually compound continuously, the formula is foundational in academic finance and derivatives pricing — it underlies the Black-Scholes option pricing model and is used as a clean mathematical benchmark for the maximum possible growth from a given rate. This calculator takes your principal, annual rate, and time in years and returns the future value under continuous compounding.
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