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.
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
Time is the most powerful factor in maximizing the benefits of compound interest for investments.
Compounding works against you when it comes to debt, significantly increasing the total amount owed over time.
Even small, consistent contributions or initial investments can grow into substantial sums over many years due to the accelerating effect of compounding.
Related Terms
FAQ
Questions people ask next
The short answers readers usually want after the first pass.
Sources & References
- Compound Interest: The Secret to Wealth Building — Investopedia
- Investor Bulletin: Compound Interest — U.S. Securities and Exchange Commission (SEC)
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