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Compound Interest Calculator

Calculate how your savings grow over time with customizable contributions and interest rates

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The Mathematics and Power of Compound Interest

Compound interest generates returns on both principal and accumulated interest, creating exponential growth. The frequency of compounding impacts growth, with daily compounding producing slightly better results than annual. Time has exponential impact - starting early produces dramatically better outcomes than contributing larger amounts later.

Regular contributions amplify compound interest. Contributing $500 monthly for 30 years at 8% accumulates approximately $745,000, with about $565,000 from compound growth rather than contributions. A 2% difference in annual returns produces enormous wealth differences over decades - $100,000 at 6% for 30 years yields $574,000 while 8% yields $1,006,000 ($432,000 difference).

Frequently Asked Questions

Common questions about the Compound Interest Calculator

Daily compounding gives the best returns, followed by monthly, quarterly, and annual. However, the difference is small; for example, 0,000 at 5% over 10 years grows to 6,487 with daily compounding and 6,289 with annual compounding, so the interest rate is more important than how often it compounds.

Securities and Exchange Commission: Compound Interest Basics

Official SEC definition and explanation of compound interest mechanics.

Methodology & Sources

Our compound interest calculator uses the standard compound interest formula with advanced features including Monte Carlo simulation, fee modeling, and historical backtesting.

Historical Market Returns

The S&P 500 has averaged approximately 10% annual returns over the past century (1926-2023).

Monte Carlo Simulation

Uses Box-Muller transform to generate normally distributed returns with historical volatility (~15% std dev for stocks).

Fee Impact

Compares your fees against Vanguard (0.05%) and typical managed funds (1%). Even small fee differences compound to massive losses over decades.

Disclaimer

This calculator provides educational projections only. Actual investment returns vary and past performance doesn't guarantee future results. Market volatility, fees, taxes, and other factors can significantly impact real-world returns.