Continuous Compounding Calculator

Use our free continuous compounding calculator to see how your investment grows when interest is compounded continuously — the mathematical limit of compounding frequency. Uses the natural exponential function A = Pe^(rt).

Financial

Currency

Principal Amount

Annual Interest Rate (%)

Time Period (years)

years

Compare with Monthly Compounding

Formula

Continuous compounding is the mathematical limit of compound interest — interest is calculated and added infinitely many times per instant. The formula A = Pe^(rt) produces the maximum possible future value for a given nominal rate.

A = P × e^(rt)

Percentage: The percentage value you want to apply

Number: The original number or value

Result: The calculated result

How It Works

1Enter the principal amount you're investing.
2Enter the annual interest rate and time period.
3Optionally compare with monthly compounding.
4The calculator uses Euler's number e ≈ 2.71828 to compute continuous growth.

Examples

$10,000 at 8% for 10 years compounded continuously

1.A = $10,000 × e^(0.08 × 10)
2.A = $10,000 × e^0.8
3.A = $10,000 × 2.22554 = $22,255

Result: $22,255

Frequently Asked Questions

Continuous compounding assumes interest is calculated and compounded infinitely many times per year, producing the maximum possible future value at a given nominal rate.

Continuous compounding produces a slightly higher return than daily compounding. The difference is small — for 8% over 10 years, continuous gives about $22,255 vs monthly $22,196.

Euler's number e ≈ 2.71828 is the base of natural logarithms. It appears in the continuous compounding formula A = Pe^(rt).

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Continuous Compounding Guide

CalculateMe Team

Last updated: 2026-07-15

Frequently Asked Questions

Continuous compounding assumes interest is calculated and compounded infinitely many times per year, producing the maximum possible future value at a given nominal rate.

Continuous compounding produces a slightly higher return than daily compounding. The difference is small — for 8% over 10 years, continuous gives about $22,255 vs monthly $22,196.

Euler's number e ≈ 2.71828 is the base of natural logarithms. It appears in the continuous compounding formula A = Pe^(rt).

Continuous Compounding Calculator

Formula

How It Works

Examples

$10,000 at 8% for 10 years compounded continuously

Frequently Asked Questions

What is continuous compounding?

How does continuous compare to daily or monthly?

What is Euler's number e?

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Continuous Compounding Calculator

Formula

How It Works

Examples

$10,000 at 8% for 10 years compounded continuously

Frequently Asked Questions

What is continuous compounding?

How does continuous compare to daily or monthly?

What is Euler's number e?

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Related Articles