# Continuous Compound Interest

** Enter percentages as whole numbers, i.e. 5% should be input as 5. The calculator converts percentages to decimal form.

## Continuous Compound Interest Formula

To solve a problem seeking continuous compound interest, the formula is:A = Pe

^{rt}

where,

A = Amount of future value

P = Initial amount invested

e = Stands for Napier's number and is approximately 2.7183

r = Interest rate

t = Length of time investment will accrue

## Sample Continuous Compound Interest Problem

Alex has $7000 to invest in a bank savings account. The savings will accrue interest continuously at 5.7%, how much will he have after 7 years?A = $7,000 * 2.7183

^{.057 * 7}

He will have $10,432.33 after his money has continuously compounded over 7 years.