Compound Interest Calculator

Calculate how your investment grows over time with compound interest. See the power of compounding with detailed year-by-year breakdown and monthly contributions.

Calculator Inputs
$
%
$
Your Results

Enter your values and click Calculate to see results

Understanding Compound Interest

Interest on Interest

Your money earns interest, then that interest earns interest too. This creates exponential growth over time.

Time is Your Friend

The longer you invest, the more powerful compounding becomes. Start early to maximize growth.

Frequency Matters

More frequent compounding (daily vs. yearly) leads to slightly higher returns on your investment.

Compound Interest Formula

The formula calculation is standard for this mathematical operation.

A = P(1 + \frac{r}{n})^{nt} + PMT \times \frac{(1 + \frac{r}{12})^{12t} - 1}{\frac{r}{12}}

Variables Explained:

A
Future value of the investment
P
Principal amount (initial investment)
r
Annual interest rate (as decimal)
n
Number of times interest is compounded per year
t
Time in years
PMT
Monthly contribution amount

Worked Examples

Basic Compound Interest
Initial investment of $10,000 at 7% compounded monthly for 10 years

Inputs:

principal:
10000
rate:
7
time:
10
compound:
12
contribution:
0

Result:

$20,137.53 future value

Investment with Monthly Contributions
$5,000 initial + $200/month at 6% for 20 years

Inputs:

principal:
5000
rate:
6
time:
20
compound:
12
contribution:
200

Result:

$112,198.45 future value

Retirement Savings
$25,000 starting amount + $500/month at 8% for 30 years

Inputs:

principal:
25000
rate:
8
time:
30
compound:
12
contribution:
500

Result:

$1,006,266.38 future value

Frequently Asked Questions