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About

Compound interest is the mechanism by which interest is earned on both the initial principal and the accumulated interest from previous periods. This exponential growth factor distinguishes investing from simple saving. For long-term wealth accumulation, the frequency of compounding (how often the interest is added to the balance) can significantly alter the final outcome.

This calculator employs the standard compound interest formula to project future value. It distinguishes between the "Total Principal" (money you deposited) and "Total Interest" (free money generated by time and rate). Understanding this split is vital for retirement planning and evaluating high-yield savings accounts.

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Formulas

The core formula for compound interest:

A = P(1 + rn)nt

To find the interest earned purely from compounding:

I = A P

Reference Data

VariableSymbolStandard Definition
Future ValueAThe total value of the investment after t years.
PrincipalPThe initial deposit or starting amount.
Annual RaterThe interest rate (decimal). 5% = 0.05.
FrequencynTimes compounded per year (Monthly=12, Daily=365).

Frequently Asked Questions

APR (Annual Percentage Rate) is the simple interest rate charged or earned. APY (Annual Percentage Yield) includes the effect of compounding. APY is always higher than APR if compounding occurs more than once a year.
Yes, but with diminishing returns. Compounding daily yields more than compounding yearly, but the difference between daily and continuous compounding is negligible for most personal finance amounts.
No. This calculator computes the nominal future value. To account for purchasing power, you would need to subtract the expected inflation rate from your interest rate (Real Rate of Return).