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Compound Interest Calculator Calculate compound interest with different frequencies and regular contributions.

Compound Interest Calculator illustration
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Compound Interest Calculator

Calculate compound interest with different frequencies and regular contributions.

1

Enter Investment Details

Input initial investment, annual rate, time period, and compounding frequency.

2

Add Contributions

Optionally set a regular contribution amount per compounding period.

3

View Growth Projection

See final balance, interest earned, and year-by-year growth table.

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What Is Compound Interest Calculator?

Compound interest is interest calculated on both the initial principal and all previously accumulated interest, creating exponential growth over time. Unlike simple interest (which only earns on the principal), compound interest allows your money to grow faster because each period's interest becomes part of the base for the next period's calculation. This calculator supports multiple compounding frequencies (annually, semi-annually, quarterly, monthly, daily) and allows regular contributions, making it a powerful tool for projecting investment growth, retirement savings, and the true cost of debt. The year-by-year breakdown shows how compound growth accelerates over time — the "magic of compounding" that makes long-term investing so powerful.

Why Use Compound Interest Calculator?

  • Five compounding frequencies from annual to daily
  • Regular contribution support for realistic planning
  • Year-by-year growth table showing compounding in action
  • Visual breakdown of contributions vs interest earned
  • Shows the true power of long-term compounding

Common Use Cases

Investment Planning

Project how your investments will grow over time with regular contributions.

Retirement Savings

See how early saving and compound growth build retirement wealth.

Debt Analysis

Understand how compound interest increases the true cost of debt.

Savings Accounts

Compare savings accounts with different compounding frequencies.

Technical Guide

The compound interest formula without contributions is A = P(1 + r/n)^(nt), where A is the final amount, P is principal, r is annual rate, n is compounding frequency per year, and t is time in years. With regular contributions PMT, the future value of the contribution stream is FV = PMT × ((1+r/n)^(nt) − 1) / (r/n). The total is the sum of both components. Compounding frequency significantly affects results: at 10% annual rate on $10,000 for 10 years, annual compounding gives $25,937 while daily compounding gives $27,183. The difference between continuous compounding (A = Pe^(rt)) and daily compounding is negligible for practical purposes. The Rule of 72 provides a quick estimate: divide 72 by the annual rate to approximate the doubling time in years.

Tips & Best Practices

  • 1
    Start investing early — time is the most powerful factor in compounding
  • 2
    The Rule of 72: divide 72 by the interest rate to estimate doubling time
  • 3
    More frequent compounding yields slightly higher returns
  • 4
    Regular contributions amplify the compounding effect significantly
  • 5
    Compound interest works against you on debt — pay it off quickly

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Frequently Asked Questions

Q What is the difference between simple and compound interest?
Simple interest is calculated only on the principal. Compound interest is calculated on principal plus accumulated interest, leading to exponential growth over time.
Q How does compounding frequency matter?
More frequent compounding (daily vs annually) earns slightly more because interest begins earning interest sooner. The effect is small for low rates but significant for high rates over long periods.
Q What is the Rule of 72?
Divide 72 by the annual interest rate to estimate how many years it takes for your investment to double. At 8%, doubling takes approximately 72/8 = 9 years.
Q How do regular contributions help?
Regular contributions benefit from compounding too. Money added early compounds for longer, making consistent investing much more powerful than lump-sum investing later.
Q Does this account for taxes?
No, this calculator shows pre-tax growth. Actual returns depend on your tax situation and whether the account is tax-advantaged (401k, IRA, etc.).

About This Tool

Compound Interest Calculator is a free online tool by FreeToolkit.ai. All processing happens directly in your browser — your data never leaves your device. No registration or installation required.