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Continuous Compounding Calculator

Finance

Calculate the future value of an investment with continuous compounding, the theoretical limit of compounding frequency.

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USD
$0.00$100,000,000.00
%
0.01%100%
0.1100

Future Value

$604.13

Your balance after continuous compounding -- the theoretical maximum growth for a given rate and term.

USD

Interest Earned

$304.13

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Odeh Ahwal

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Odeh Ahwal
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Frequently Asked Questions

How is continuous compounding calculated?

FV = PV x e^(r x t), where e is Euler's number (~2.71828), r is the annual interest rate, and t is time in years. This represents compounding an infinite number of times per year -- the mathematical limit as compounding frequency increases.

How much more does continuous compounding earn than monthly compounding?

The difference is typically small in practice (a fraction of a percent), since monthly compounding already captures most of the benefit of frequent compounding -- continuous compounding is mainly a theoretical/modeling tool in finance rather than a real product feature.

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