Simple vs Compound Interest

Two interest types, very different outcomes — learn the formulas and when each one applies

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March 2025  ·  6 min read  ·  Finance
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What Is Interest?

Interest is the cost of borrowing money — or the reward for saving it. Whether you're taking out a loan, opening a savings account, or investing in bonds, understanding how interest is calculated will help you make significantly better financial decisions.

There are two main types: simple interest and compound interest. They use different formulas and produce very different results over time.

Simple Interest

Simple interest is calculated only on the original amount (called the principal). It does not grow over time — you earn (or pay) the same amount of interest every period.

Simple Interest = Principal × Rate × Time
Final Amount = Principal + Simple Interest
Example: You deposit $5,000 in a savings account at 4% simple interest for 3 years.

Interest = $5,000 × 0.04 × 3 = $600
Final amount = $5,000 + $600 = $5,600

You earn $200 per year, every year. The interest never changes.

Simple interest is commonly used for short-term personal loans, car loans, and some savings bonds. It's straightforward and easy to predict.

Compound Interest

Compound interest is calculated on the principal plus any interest already earned. This means your interest earns interest — causing the total to grow exponentially over time. Albert Einstein reportedly called it "the eighth wonder of the world."

Final Amount = Principal × (1 + Rate / n) ^ (n × Time)

Where n = number of compounding periods per year
Example: Same $5,000 at 4% interest, compounded annually, for 3 years.

Year 1: $5,000 × 1.04 = $5,200
Year 2: $5,200 × 1.04 = $5,408
Year 3: $5,408 × 1.04 = $5,624.32

That's $24.32 more than simple interest — and the gap grows dramatically over longer periods.

How Compounding Frequency Affects Growth

The more frequently interest is compounded, the more you earn (or owe). Here's what $10,000 at 6% annual interest looks like after 10 years at different compounding frequencies:

CompoundingFinal AmountInterest Earned
Annually (n=1)$17,908$7,908
Quarterly (n=4)$18,061$8,061
Monthly (n=12)$18,194$8,194
Daily (n=365)$18,221$8,221

The Power of Time: Why Starting Early Matters

Compound interest rewards patience. A 25-year-old who saves $10,000 at 7% compounded annually will have $149,745 at age 65. A 35-year-old making the same investment will only have $76,123. Starting 10 years earlier nearly doubles the outcome — without saving a single extra dollar.

When Does Each Type Apply?

💡 Use our interest calculator on the home page to see how your money grows over time with both simple and compound interest.