Compound Interest Calculator (2024)

This compound interest calculator has more features than most. You can vary both the deposit intervals and the compounding intervals from daily to annually (and everything in between)...Show Full Instructions

Want a better investment strategy? Learn how here →

$230,629

Future Value

$148,032

Future Value Inflation Adjusted

If you start with $25,000 in a savings account earning a 7% interest rate, compounded monthly, and make $500 deposits on a monthly basis, after 15 years your savings account will have grown to $230,629 -- of which $115,000 is the total of your beginning balance plus deposits, and $115,629 is the total interest earnings.

Growth Chart

Pie Chart

Yearly Summary

Year Deposit Interest Balance Inflation Adjusted Balance
Begin $25,000 $25,000
1 $6,000 $2,040 $33,040 $32,077
2 $6,000 $2,621 $41,661 $39,269
3 $6,000 $3,244 $50,905 $46,585
4 $6,000 $3,912 $60,817 $54,035
5 $6,000 $4,629 $71,446 $61,630
6 $6,000 $5,397 $82,843 $69,380
7 $6,000 $6,221 $95,064 $77,296
8 $6,000 $7,105 $108,169 $85,390
9 $6,000 $8,052 $122,221 $93,672
10 $6,000 $9,068 $137,289 $102,156
11 $6,000 $10,157 $153,446 $110,853
12 $6,000 $11,325 $170,771 $119,775
13 $6,000 $12,577 $189,348 $128,937
14 $6,000 $13,920 $209,269 $138,351
15 $6,000 $15,360 $230,629 $148,032
Totals $115,000 $115,629 $230,629 $148,032

Comparison

Compound Interval Interest Total Amount Inflation Adjusted Total
Daily $117,709 $232,709 $149,367
Monthly $115,629 $230,629 $148,032
Quarterly $114,640 $229,640 $147,397
Semi-Annually $113,200 $228,200 $146,473
Annually $110,467 $225,467 $144,719

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Free Compound Interest Excell Spreadsheet Calculator

Download Compound-Interest-Excel-Template.xlsx for a free, simplified version of this calculator that you can use offline.

Compound interest is the most powerful concept in finance. It can either work for you or against you: Compound interest is the foundational concept for both how to build wealth and why it's so important to pay off debt as quickly as possible.

The easiest way to take advantage of compound interest is to start saving! See today's highest-paying online savings accounts.

Compound interest: Frequently-asked questions

What is compound interest?

Compound interest is the total amount of interest earned over a period of time, taking into account both the interest on the money you invest (this is called simple interest) and the interest earned or charged on the interest you've previously earned.

What is the compound interest formula?

The compound interest formula is: A = P (1 + r/n)nt

The compound interest formula solves for the future value of your investment (A). The variables are: P –the principal (the amount of money you start with); r – the annual nominal interest rate before compounding; t – time, in years; and n – the number of compounding periods in each year (for example, 365 for daily, 12 for monthly, etc.).

What's the difference between compound interest and simple interest?

Compound interest takes into account both interest on the principal balance and interest on previously-earned interest. Simple interest refers only to interest earned on the principal balance; interest earned on interest is not taken into account. To see how compound interest differs from simple interest, use our simple interest vs compound interest calculator.

How does compound interest work?

Compound interest has dramatic positive effects on savings and investments.

Related:

Compound interest occurs when interest is added to the original deposit – or principal – which results in interest earning interest. Financial institutions often offer compound interest on deposits, compounding on a regular basis – usually monthly or annually.

The compounding of interest grows your investment without any further deposits, although you may certainly choose to make more deposits over time – increasing efficacy of compound interest.

How can I take advantage of compound interest?

  • Invest early –As with any investment, the earlier one starts investing, the better. Compounding further benefits investors by earning money on interest earned.
  • Invest often – Those who invest what they can, when they can, will have higher returns. For example, investing on a monthly basis instead of on a quarterly basis results in more interest.
  • Hold as long as possible –The longer you hold an investment, the more time compound interest has to earn interest on interest.
  • Consider interest rates – When choosing an investment, interest rates matter. The higher the annual interest rate, the better the return.
  • Don't forget compounding intervals – The more frequently investments are compounded, the higher the interest accrued. It is important to keep this in mind when choosing between investment products.

How do compounding intervals affect interest earned?

By using the Compound Interest Calculator, you can compare two completely different investments. However, it is important to understand the effects of changing just one variable.

Related: How to take back control of your portfolio

Consider, for example, compounding intervals. Compounding intervals can easily be overlooked when making investment decisions. Look at these two investments:

Investment A

  • Beginning Account Balance: $1,000
  • Monthly Addition: $0
  • Annual Interest Rate (%): 8%
  • Compounding Interval: Daily
  • Number of Years to Grow: 40
  • Future Value: $24,518.56

Investment B

  • Beginning Account Balance: $1,000
  • Monthly Addition: $0
  • Annual Interest Rate (%): 8%
  • Compounding Interval: Annual
  • Number of Years to Grow: 40
  • Future Value: $21,724.52

Notice that the only variable difference here is the compounding interval. Investment Awins over Investment B by $2,794.04. Remember, compounding intervals matter.

Compound interest terms & definitions

Beginning Account Balance –The money you already have saved that will be applied toward your savings goal.

______ Addition ($) – How much money you're planning on depositing daily, weekly, bi-weekly, half-monthly, monthly, bi-monthly, quarterly, semi-annually, or annuallyover the number of years to grow.

Annual Interest Rate (ROI) –The annual percentage interest rate your money earns if deposited.

Choose Your Compounding Interval –How often a particular investment compounds.

Number of Years to Grow –The number of years the investment will be held.

Future Value– The value of your account, including interest earned, after the number of years to grow.

Total Deposits – The total number of deposits made into the investment over the number of years to grow.

Interest Earned – How much interest was earned over the number of years to grow.

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Compound Interest Calculator (2024)

FAQs

How to easily calculate compound interest? ›

How Compound Interest Works. Compound interest is calculated by multiplying the initial principal amount by one plus the annual interest rate raised to the number of compound periods minus one. The total initial principal or amount of the loan is then subtracted from the resulting value.

How much will $10,000 be worth in 20 years? ›

The table below shows the present value (PV) of $10,000 in 20 years for interest rates from 2% to 30%. As you will see, the future value of $10,000 over 20 years can range from $14,859.47 to $1,900,496.38.

How do you solve compound interest questions easily? ›

A = P (1+ r/n)nt
  1. A = Total Amount.
  2. P = Initial Principal.
  3. r = Rate of interest on which loan or deposit is disbursed.
  4. n = number of times the interest is compounded in a year. It can be monthly, half-yearly, quarterly, or yearly.
  5. t = time in years.
Nov 7, 2023

How much is $10,000 at 10% interest for 10 years? ›

If you invest $10,000 today at 10% interest, how much will you have in 10 years? Summary: The future value of the investment of $10000 after 10 years at 10% will be $ 25940.

What is the magic of compound interest? ›

This means, not only will you earn money on the principal amount in your account, but you will also earn interest on the accrued interest you've already earned. The idea of compound interest (as compared to simple interest) is fundamental to investing because it can ultimately lead to a greater return in your account.

How much is $1000 worth at the end of 2 years if the interest rate of 6% is compounded daily? ›

Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.

How much money do I need to invest to make $4000 a month? ›

Making $4,000 a month based on your investments alone is not a small feat. For example, if you have an investment or combination of investments with a 9.5% yield, you would have to invest $500,000 or more potentially. This is a high amount, but could almost guarantee you a $4,000 monthly dividend income.

Can I live off interest on a million dollars? ›

Once you have $1 million in assets, you can look seriously at living entirely off the returns of a portfolio. After all, the S&P 500 alone averages 10% returns per year. Setting aside taxes and down-year investment portfolio management, a $1 million index fund could provide $100,000 annually.

How much money do I need to invest to make $3,000 a month? ›

Imagine you wish to amass $3000 monthly from your investments, amounting to $36,000 annually. If you park your funds in a savings account offering a 2% annual interest rate, you'd need to inject roughly $1.8 million into the account.

What is the 3 year trick for compound interest? ›

principal (3rd yr) = Amount (2nd yr) = Principal(2nd yr)+Interest(2nd yr) = 1100+110 = 1210 CI (3rd yr) = (1210×10×1)/100 = 121 Hence total CI for 3yrs = 100+110+121 = 331 Amount after 3 yrs = 1331 Interest is always calculated on the Principal. But in the case of CI, the Principal is get changed every year.

Is compound interest difficult to calculate? ›

The calculation for year 3 then uses $112.36 as the base figure, meaning that your 6% increases are bigger every year. Compound interest is a much better investment for people collecting interest, but the math is considerably more challenging.

What is the best formula for compound interest? ›

To calculate compound interest in Excel, use the formula: A = P(1 r/n)^(nt), where A is the future value, P is the principal amount, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

How long will it take $4000 to grow to $9000 if it is invested at 7% compounded monthly? ›

Substituting the given values, we have: 9000 = 4000(1 + 0.06/4)^(4t). Solving for t gives us t ≈ 6.81 years. Therefore, it will take approximately 6.76 years to grow from $4,000 to $9,000 at a 7% interest rate compounded monthly, and approximately 6.81 years at a 6% interest rate compounded quarterly.

How much is $100 a month for 40 years? ›

According to Ramsey's tweet, investing $100 per month for 40 years gives you an account value of $1,176,000. Ramsey's assumptions include a 12% annual rate of return, which some critics have labeled as optimistic given that the long-term average annual return of the S&P 500 index is closer to 10%.

How long will it take for $5000 to accumulate to $8000 if it is invested at an interest rate of 7.5 %/a compounded annually? ›

To calculate how long it will take for $5000 to grow to $8000 with an annual compound interest rate of 7.5%, we use the compound interest formula, and solve for time 't', which is approximately 6.5 years. Therefore, the correct answer is option c. 6.5 years.

What will be the compound interest on $25,000 after 3 years at 12 per annum? ›

I=Rs. 10123. 2.

How to mentally calculate compound interest? ›

A quick rule of thumb to find compound interest is the "rule of 72." Start by dividing 72 by the amount of the interest you are earning, for example 4%. In this case, this would be 72/4, or 18. This result, 18, is roughly the number of years it will take for your investment to double at the current interest rate.

How to calculate compound interest example? ›

To calculate monthly compound interest, use the formula A = P(1 r/n)^(nt), where A is the final amount, P is the principal, r is the annual interest rate, n is the number of times interest is compounded per year, and t is the number of years.

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