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Finance

Compound Interest Calculator

Compute compound growth over time with frequency controls.

How This Tool Works

The Compound Interest Calculator projects how an investment grows when interest is calculated on both the original principal and the accumulated interest from prior periods. Unlike simple interest (which only earns on the principal), compound interest produces exponential growth over time. The formula is A = P × (1 + r/n)^(n×t) where P is the principal, r is the annual rate, n is the compounding frequency per year, and t is the time in years. This calculator is essential for retirement planning, savings projections, and understanding loan costs.

How to Use

  1. Enter the principal (initial investment or loan balance) in field A.
  2. Enter the annual interest rate as a percentage (e.g. enter 8 for 8%) in field B.
  3. The calculator defaults to a 10-year projection with annual compounding — adjust these in the settings.
  4. Compare different compounding frequencies (monthly vs annually) to see how frequency affects total return.

Common Questions

How does compounding frequency affect the final amount?

More frequent compounding produces slightly higher returns. At 8% annual rate on $10,000 for 10 years: annual compounding gives $21,589; monthly gives $22,196; daily gives $22,253. The rate matters far more than frequency.

What is the Rule of 72?

Divide 72 by the annual interest rate to estimate the years needed to double your investment. At 8% annual return, 72 ÷ 8 = 9 years. At 6%, it doubles in roughly 12 years.

Does this calculator work for loan balances?

Yes. A credit card balance at 20% annual interest compounded monthly will nearly triple in 6 years without payments. The same math that grows investments works against you on high-interest debt.