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Continuous compounding calculator

The mathematical upper bound on compounding.

Built and reviewed by Dovanic, Founder and editor, FreeByteLast reviewed: 2026-08-18
$
5%

Ending balance

$16,487

Vs annual compounding

$198

With these inputs, ending balance comes to $16,487 over 10 years. Vs annual compounding works out to $198. The result assumes annual rate stays at 5%.

Formula
Pe^(rt)

Over time · by years

What moves the number · Ending balance

Input−10%Now+10%
Starting balance$14,838$16,487$18,136
Annual rate$15,683$16,487$17,333
Years$15,683$16,487$17,333

Solve for an input

Whatmakesequal

Compare scenarios

Save this set of inputs, change something, then save again to compare the outcomes side by side.

The mathematical upper bound on compounding.

A worked example

Starting figures

Starting balance
$10,000
Annual rate
5%
Years
10

What it returns

Ending balance
$16,487
Vs annual compounding
$198
Formula
Pe^(rt)

How to read the results

With the defaults above, ending balance works out at $16,487.

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