Continuous Compounding Calculator — Calculate Investment Growth with Continuous Compounding

Continuous Compounding Calculator

Calculate the future value of investments with continuous compounding. Determine growth based on principal amount, annual interest rate, and time period.

Step 1: Investment Details

$10,000
5%
10 years

Understanding Continuous Compounding

Continuous compounding calculates interest assuming it’s compounded an infinite number of times per period. It uses the mathematical constant e (≈2.71828) for the most accurate growth calculation.

Step 2: Additional Options

About Continuous Compounding

Continuous compounding represents the theoretical limit of compounding frequency. While most investments compound daily, monthly, or annually, continuous compounding provides the maximum possible growth for a given interest rate.

Continuous Compounding Results

Summary
Compounding Comparison
Growth Breakdown

Future Value

$16,487
Based on $10,000 at 5% for 10 years with continuous compounding
Total Interest Earned
$6,487
Annual Return
5.13%
Effective Annual Rate (EAR)
5.13%
Total Contributions
$10,000

Compounding Frequency Comparison

Compounding Frequency Future Value Total Interest Effective Annual Rate

Growth Over Time

Continuous Compounding Formula

A = P × e^(rt)

Where:
A = Future Value
P = Principal Amount
e = Euler’s number (≈2.71828)
r = Annual interest rate (decimal)
t = Time in years

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