The Math of Compound Interest: Visualizing Financial Freedom and Growth
“Albert Einstein famously called compound interest the eighth wonder of the world. Dive into exponential formulas, frequency of compounding, inflation adjustments, and visual projections.”
1. Breaking Down A = P(1 + r/n)^(nt)
Compound interest is interest calculated on the initial principal *plus* all accumulated interest from previous periods.
In the standard formula: - **P** is initial principal - **r** is nominal annual interest rate - **n** is compounding frequency per year - **t** is total number of years
Even small monthly contributions of $200 compounding at an average index fund return of 8% grow to over $300,000 across 30 years. Model your own scenarios with our Compound Interest Calculator.
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