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Compound Interest Calculator: when interest earns interest
Compound interest means interest gets added to the balance. Then future interest can grow from both the original money and the earlier interest.
Picture a snowball rolling downhill. The snowball grows, and the next layer sticks to a bigger snowball.
Core Formula
A = P(1 + rn)nt
This estimates the future balance after interest is added repeatedly.
Step-by-step example
Estimate $1,000 at 5% for 2 years, compounded yearly.
- Use P = 1,000, r = 0.05, n = 1, and t = 2.
- Calculate inside the parentheses: 1 + 0.05 ÷ 1 = 1.05.
- Raise it to the power of 2: 1.05² = 1.1025.
- Multiply by the starting money: 1,000 × 1.1025 = 1,102.50.
- The estimated future amount is $1,102.50.
Why compounding frequency matters
Compounding once per year and compounding every month do not act the same. Monthly compounding adds interest more often, so the balance has more chances to grow.
Common mistakes and edge cases
- Do not type 5 for 5% as the decimal rate. The formula uses 0.05.
- Very long time spans create huge numbers. The calculator limits unrealistic inputs.
- A calculator does not guarantee investment returns. Real returns can change.
- Fees, taxes, and inflation can lower real growth. The formula is a model.
Sources and accuracy notes
Investor.gov explains compound interest as interest that can grow on both the initial investment and accumulated interest. See Investor.gov: What is compound interest? and Investor.gov: Compound Interest Calculator.
CalculTools rounds currency outputs to cents. Results are estimates, not financial advice.
FAQ
What does compounds per year mean?
It is how many times interest is added to the balance each year.
Is this a guaranteed return?
No. Investment returns can vary and this calculator only applies the formula to your inputs.
Why does compounding frequency matter?
More frequent compounding can increase future value because interest is added to the balance more often. The effect is usually larger over long time periods.
Does compound interest include taxes or inflation?
A basic compound interest calculator usually shows nominal growth. Taxes, fees, withdrawals, and inflation can reduce real purchasing power.