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Compound Interest Calculator

Convert and compare APR and APY across different compounding periods.

Interest Conversion
Result
Rate Comparison Chart

Compound Interest Calculator – Grow Money Faster

Compound interest is the interest earned on both the original principal and the interest accumulated over time. Unlike simple interest, compound interest grows exponentially and plays a crucial role in investments, savings, and loans.

Simple Interest

Simple interest is calculated only on the principal amount. It is rarely used in modern finance.

Interest = Principal × Rate × Time

Compound Interest

Compound interest is calculated on the principal plus previously earned interest, resulting in faster growth.

Interest on interest = exponential growth

Why Compound Interest Matters

Compound interest can dramatically grow investments over long periods. However, it can also significantly increase debt if loans are left unpaid.

Compounding Frequency

Interest can compound annually, monthly, daily, or even continuously. The more frequently interest compounds, the higher the total return.

Compound Interest Formula

A = P × (1 + r / n)n × t

Where P is the principal, r is the interest rate, n is compounding frequency, and t is time in years.

The Rule of 72

The Rule of 72 estimates how long it takes for an investment to double.

Years to double ≈ 72 ÷ annual interest rate

History of Compound Interest

Compound interest dates back over 4,000 years to the Babylonians and Sumerians. It later became a foundation of modern finance with the discovery of Euler’s number (e).

Frequently Asked Questions

What is compound interest?

Compound interest is interest calculated on both the principal and previously earned interest.

Is compound interest better than simple interest?

Yes. Compound interest grows wealth faster due to interest-on-interest effects.

How often does interest compound?

It can compound annually, monthly, daily, or continuously depending on the account.

Can compound interest increase debt?

Yes. Unpaid loans and credit cards grow faster due to compound interest.

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