Compound Interest Calculator

See how an initial deposit and regular contributions grow with compound interest, using the compounding frequency you choose.

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Understanding Your Results

Compound interest means you earn interest on your interest. The effect is small in the first few years and large in the last few, which is why time matters more than almost any other input. The chart separates the money you put in from the growth it generated.

How to Use the Compound Interest Calculator

  1. Enter your starting balance and the amount you add each month.
  2. Enter the annual interest rate and the number of years.
  3. Choose how often interest compounds and whether you contribute at the start or end of each month.
  4. Press Calculate.
  5. Use the yearly table to see when growth overtakes your contributions.

Formula

Effective monthly rate = (1 + r ÷ n)^(n ÷ 12) − 1
Each month: balance = balance × (1 + monthly rate) + contribution
Lump-sum shortcut: A = P × (1 + r ÷ n)^(n × t)
APY = (1 + r ÷ n)^n − 1

Example Calculation

Start with $10,000 and add $500 a month at 7% compounded monthly for 20 years. You contribute $130,000 in total and the balance reaches about $300,851, meaning roughly $170,851 is interest. The effective annual yield is about 7.23%.

What Is Compound Interest?

Compound interest is interest calculated on both the original principal and the interest already added. Each period the base grows, so the next period’s interest is larger. Simple interest, by contrast, is calculated only on the original principal.

How Compounding Works

Imagine $1,000 at 10% a year. After one year you have $1,100. In year two, interest is earned on $1,100, not $1,000, giving $1,210. Over decades the gap versus simple interest becomes dramatic, because each year’s growth joins the base that earns future growth.

Factors That Affect the Result

  • Time: starting earlier often matters more than saving more later.
  • Rate: small differences in rate compound into large differences in outcome.
  • Contributions: regular deposits increase the base that compounds.
  • Frequency: more frequent compounding gives a modest boost.

Tips

  • Automate contributions so you invest consistently.
  • Run a low, medium and high return scenario instead of a single guess.
  • Keep fees low, since they compound against you too.

Common Mistakes

  • Assuming a constant high return every year.
  • Forgetting that inflation reduces purchasing power.
  • Withdrawing early and losing the compounding years.

Read how compound interest works, then see inflation and fees with the investment calculator.

Frequently Asked Questions

How often should interest compound?

It depends on the account. Savings accounts often compound daily, bonds semiannually, and many projections use monthly or annual compounding. More frequent compounding gives a slightly higher yield.

What is the difference between APR and APY?

APR is the stated annual rate. APY includes the effect of compounding, so it is equal or higher.

Is a 7% return realistic?

Returns vary and are never guaranteed. Use conservative assumptions and test several rates.

Does this account for taxes or inflation?

No. The investment calculator includes fees and an inflation-adjusted result. Taxes depend on the account type.

What is the Rule of 72?

A shortcut: divide 72 by the annual rate to estimate the years to double. At 6%, about 12 years.

About This Calculator

Calculation methodology: All math runs locally in your browser using the formula shown on this page. Nothing you enter is sent to our servers by the calculator.

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Disclaimer: This calculator provides estimates for educational purposes only and is not financial, tax, legal or investment advice. Results depend on the information you enter and on assumptions that may not match your situation. Consult a qualified professional before making financial decisions. Read the full disclaimer.