How much is $1,000 at 5% compounded annually for 10 years?

Apply A = 1000 x (1.05)^10 = $1,628.89. Simple interest would only reach $1,500.

Does compounding frequency matter?

Yes. Monthly compounding at the same nominal 5% beats annual compounding slightly, because interest starts earning its own interest sooner.

What is the Rule of 72?

Divide 72 by the rate to estimate doubling time. At 6%, money doubles in about 72 / 6 = 12 years.

Compound Interest Calculator

A compound interest calculator models wealth accumulation and future investment balances by compounding interest earnings into principal across recurring periods. Applying the formula A = P(1 + r/n)^(nt), it demonstrates how $5,000 invested at 7% compounded monthly grows into $10,048 over a ten-year investment horizon.

By Maya Chen (Personal Finance Editor) · Reviewed by Daniel OkoroUpdated 2026-10-01 · Published 2025-02-10

Principal

Rate

Years

0yr

Compound:

FUTURE MATURITY VALUE

$0.00

Interest earned: $0.00

How Does the Compound Interest Calculator Work?

Divide annual rate by compounding periods per year (e.g., 12 for monthly).
Add 1 and raise to the power of (periods × years).
Multiply by starting principal to calculate future balance.

What Is the Compound Interest Formula?

A = P(1 + r/n)^(nt)

Principal multiplied by (1 + rate/compounds) raised to total compounding periods.

Variables

A:Final balance

P:Initial principal

r:Annual interest rate decimal

n:Compounding frequency per year

t:Duration in years

How Do You Calculate Compound Interest Step by Step?

$10,000 invested at 7% annual interest compounded monthly for 5 years

Principal: $10,000

Rate: 7%

Years: 5

Frequency: Monthly (12)

r/n = 0.07 / 12 = 0.005833

Total periods: 12 × 5 = 60

Compound factor: (1.005833)^60 = 1.4176

Ending balance: $10,000 × 1.4176 = $14,176.25

Final Solution:$14,176.25 ($4,176.25 Interest Earned)

Simple vs compound interest on $1,000 at 5% for 10 years

Compounding earns interest on interest; simple interest does not.
Type	Formula	$1,000 at 5% x 10 yrs
Simple	I = P x r x t	$1,500.00
Compound (annual)	A = P(1 + r)^t	$1,628.89

Compound Interest Questions and Answers

Frequent compounding calculates interest on previously earned interest sooner, allowing earnings to start producing their own returns earlier.

Where Do These Compound Interest Standards Come From?

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