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Compound Interest Calculator

Estimate how an initial investment and regular contributions could grow over time when interest is compounded. Compare the money you contribute with the interest generated by the assumed annual rate.

Privacy: Your figures are processed in your browser. You do not need to submit your financial information to calculate the projection.
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Investment Details

Enter your starting investment, regular contribution, interest rate, compounding frequency and investment period.

BASIC COMPOUND INTEREST FORMULA
A = P(1 + r/n)ⁿᵗ
A = Final amount  |  P = Principal  |  r = Annual interest rate  |  n = Compounding periods per year  |  t = Time in years
When regular contributions are included, each contribution also has the opportunity to earn compound growth for the remaining investment period.
The amount you invest at the beginning.
Amount added at each selected interval.
%
The assumed annual rate of return.
How often the assumed interest is compounded.
Enter a whole number from 1 to 100.
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Investment Projection

This summary separates the money you put into the investment from the projected growth generated by the assumed interest rate.

PROJECTED FINAL VALUE
-
TOTAL CONTRIBUTIONS
-
PROJECTED INTEREST
-
Initial Investment -
Regular Contributions -
Total Money Invested -
Projected Final Value -
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Growth Over Time

The chart compares your accumulated contributions with the projected account value over the investment period.

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Year-by-Year Growth

Review the projected account value at the end of each year. Contributions and interest are shown separately to make the calculation easier to understand.

Year Contributions Interest Account Value
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Compound Interest Example

Suppose you start with ₦100,000, add ₦20,000 every month, earn an assumed annual rate of 15%, and compound monthly for 10 years.

The calculator does not simply multiply the interest rate by the number of years. Instead, it repeatedly applies the assumed periodic rate to the growing balance. Each new contribution then becomes part of the balance and can participate in future growth.

KEY IDEA
Growth can earn further growth.
This is the central idea behind compound interest.
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Calculation Assumptions

This calculator is a mathematical projection. It assumes that the entered annual rate remains unchanged throughout the selected period.

  • Regular contributions are assumed to be made at the end of each selected contribution interval.
  • The annual rate is assumed to remain constant.
  • Interest is compounded according to the selected compounding frequency.
  • Contributions are added to the investment balance and can subsequently participate in compound growth.
  • The calculation does not account for investment fees, taxes, inflation or changes in market value.
Important: This calculator provides a mathematical projection and is not financial advice. Actual investment returns can be higher or lower than the assumed rate. Investments may involve risk, and some products do not provide a fixed or guaranteed return. Fees, taxes, inflation, market performance and changes in interest rates can materially affect actual results.
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What Is Compound Interest?

Compound interest is interest calculated on an amount that includes both the original principal and previously earned interest. As the balance grows, future interest can be calculated on the larger balance.

This is different from simple interest, where interest is calculated only on the original principal. Over longer periods, the difference can become significant because previously earned interest remains invested.

Why time matters

Compound growth becomes more noticeable over longer periods because the balance has more opportunities to generate additional growth. Starting earlier can therefore be important when building a long-term savings or investment plan.

Why regular contributions matter

Regular contributions increase the amount of money participating in the calculation. Earlier contributions generally have more time to grow than contributions made near the end of the investment period.

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Compound Interest vs Simple Interest

Feature Simple Interest Compound Interest
Interest basis Original principal Growing balance
Previous interest Usually not added to the interest base Can become part of the balance
Effect of time More linear Can accelerate as the balance grows
Regular contributions Depend on the product or calculation Each contribution can participate in future growth
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How to Use the Compound Interest Calculator

  1. Select the currency you want to use.
  2. Enter your initial investment.
  3. Enter the amount you plan to contribute regularly. Enter zero if you do not plan to make additional contributions.
  4. Select how often you will make the contribution.
  5. Enter the assumed annual interest or investment return rate.
  6. Select how often the interest is compounded.
  7. Enter the investment period in years.
  8. Click Calculate Growth.
  9. Review the projected final value, contributions, interest and year-by-year table.
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Understanding the Compound Interest Formula

A = P(1 + r/n)ⁿᵗ

The formula contains several important variables:

When regular contributions are involved, the calculation becomes more detailed because each contribution enters the account at a different point in time. This calculator therefore calculates the balance period by period rather than simply applying the basic formula to one principal amount.

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Factors That Affect Compound Growth

Starting Amount

A larger initial investment gives the calculation a larger starting balance.

Contribution Amount

Increasing regular contributions increases the amount being invested over time.

Interest Rate

A higher assumed rate produces a higher mathematical projection, although actual returns are not guaranteed.

Investment Period

More time gives the balance more opportunities to compound.

Compounding Frequency

With the same nominal annual rate and other assumptions, more frequent compounding can change the mathematical result.

Contribution Timing

Contributions made earlier generally have more time to participate in future growth.

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Common Uses

A compound interest calculator can be useful when exploring hypothetical savings and investment scenarios.

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Practical Tips for Using the Result

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Privacy and Local Processing

The calculations on this page are performed in your browser. Your investment figures do not need to be uploaded to a server for the calculator to produce its mathematical projection.

Even though the calculator does not require financial account information, you should avoid entering confidential banking credentials, account numbers, passwords or other sensitive information into a general calculator.

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Limitations of This Calculator

This tool is intended for educational and planning purposes. A mathematical projection cannot predict the actual performance of a financial product.

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Frequently Asked Questions

What is compound interest?

Compound interest is growth calculated on a balance that can include previously earned interest. As the balance increases, future growth can be calculated on the larger amount.

Is compound interest the same as simple interest?

No. Simple interest generally uses the original principal as the interest base, while compound interest allows previously accumulated interest to become part of the balance used for future calculations.

Why does the final value become much larger over longer periods?

Over longer periods, the balance has more opportunities to generate additional growth. Regular contributions can also increase the amount participating in future compounding.

Does contributing monthly make a difference?

Yes. Regular contributions increase the amount invested. Earlier contributions generally have more time to participate in future growth than later contributions.

What is the difference between contribution frequency and compounding frequency?

Contribution frequency describes how often you add money to the investment. Compounding frequency describes how often the assumed interest is applied to the balance. They can be different.

Does the calculator guarantee the final amount?

No. The final amount is a mathematical projection based on the assumptions you enter. Actual returns can differ because rates, fees, taxes and investment performance may change.

Does the calculator include inflation?

No. The displayed figures are nominal projected values. Inflation can reduce the purchasing power of the final amount over time.

Can I use zero for the regular contribution?

Yes. Enter zero when you want to calculate the growth of the initial investment without additional contributions.

Can I use this for investment decisions?

You can use it to explore hypothetical scenarios, but it should not be treated as financial advice or a guarantee of future investment performance.


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