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Investing Basics Explainer

What Is Compound Interest? Simply Explained

Compound interest is the process where an asset's earnings, from either capital gains or interest, are reinvested to generate additional earnings, resulting in growth on previously earned interest as well as the initial principal.

By Orbyd Editorial · AI Fin Hub Team
Best Next MoveSavings & Investing

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Definition

Compound Interest

Compound interest is the process where an asset's earnings, from either capital gains or interest, are reinvested to generate additional earnings, resulting in growth on previously earned interest as well as the initial principal.

Why it matters

It explains why time usually matters more than chasing a slightly higher return.

How it works

Compound interest works by calculating interest not only on the original principal amount but also on all accumulated interest from prior periods. Unlike simple interest, which is calculated solely on the principal, compound interest allows your money to grow exponentially because each subsequent interest calculation is based on a larger base amount. The more frequently interest is compounded (e.g., daily vs. annually), the faster your balance grows. The general formula for compound interest is: A = P(1 + r/n)^(nt), where: * A = Future value of the investment/loan, including interest * P = Principal investment amount (the initial deposit or loan amount) * r = Annual interest rate (as a decimal) * n = Number of times.

Example

Long-Term Investment Growth

Initial Investment (Principal)

$10,000

Annual Interest Rate

7% (0.07)

Compounding Frequency

Annually (n=1)

Investment Period

30 years (t=30)

Using the compound interest formula A = $10,000(1 + 0.07/1)^(1*30), your investment would grow to approximately $76,122.55. If this were simple interest (only on the principal), you would earn $700 per year for 30 years ($21,000 total interest), resulting in only $31,000. The power of compounding added an extra $45,122.55 to your wealth!

Key Takeaways

1

Time is the most powerful factor in maximizing the benefits of compound interest for investments.

2

Compounding works against you when it comes to debt, significantly increasing the total amount owed over time.

3

Even small, consistent contributions or initial investments can grow into substantial sums over many years due to the accelerating effect of compounding.

FAQ

Questions people ask next

The short answers readers usually want after the first pass.

Simple interest is calculated only on the original principal amount of a loan or deposit, meaning the interest earned remains constant over time. Compound interest, however, is calculated on the initial principal *and* on the accumulated interest from previous periods. This 'interest on interest' effect means your money grows at an accelerating rate, leading to significantly higher returns for investments or higher costs for loans over longer periods compared to simple interest.

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Planning estimates only — not financial, tax, or investment advice.