Compound Interest
Interest calculated on both the initial principal and accumulated interest from previous periods.
Definition
Compound interest is the interest on a deposit or loan calculated based on both the initial principal and the accumulated interest from previous periods. Unlike simple interest, which is calculated only on the principal amount, compound interest allows your money to grow exponentially over time. The frequency of compounding (daily, monthly, quarterly, annually) affects the total amount of interest earned. Albert Einstein reportedly called compound interest "the eighth wonder of the world." The formula is A = P(1 + r/n)^(nt), where P is principal, r is annual rate, n is compounding frequency, and t is time in years.
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Related Terms
Simple Interest
Interest calculated only on the original principal amount.
Personal FinanceAnnual Percentage Yield (APY)
The real rate of return earned on an investment, accounting for compound interest.
InvestingTime Value of Money
The concept that money available now is worth more than the same amount in the future.