How to Calculate Compound Interest: 15 Steps with Pictures

Its articles, interactive tools and other content are provided to you for free, as self-help tools and for informational purposes only. NerdWallet does not and cannot guarantee the accuracy or applicability of any information in regard to your individual circumstances. Examples are hypothetical, and we encourage you to seek personalized advice from qualified professionals regarding specific investment issues. Our estimates are based on past market performance, and past performance is not a guarantee of future performance. Unlike simple interest, which only considers the initial principal amount, compound interest takes
into account the interest that accrues over time. This means that as your investment grows, so
does the amount of interest you earn.

  • It’s still worth checking the fine print, however, because you don’t want to get trapped in an investment that gives you less than you thought you were earning.
  • You can also experiment with the calculator to see how different interest rates or loan lengths can affect how much you’ll pay in compounded interest on a loan.
  • We at The Calculator Site work to develop quality tools to assist you with your financial calculations.

By changing the interest rate in the calculator, you can see how different rates can significantly
impact your investment’s future value. This is a vital consideration when choosing between various
investment vehicles, as higher interest rates can lead to more substantial growth over time. Inflation is defined as a sustained increase in the prices of goods and services over time. As a result, a fixed amount of money will relatively afford less in the future. The average inflation rate in the U.S. in the past 100 years has hovered around 3%.

How the Compound Interest Calculator Works

In our article about the compound interest formula, we go through the process of
how to use the formula step-by-step, and give some real-world examples of how to use it. Let’s assume an average return rate of around 7%, and assume that you don’t add in any more money. In that case, your $10,000 could turn into $40,547 — still an impressive amount.

These formulas can be spun accordingly to solve for principal and time. If you wonder how to calculate compound interest, these formulas provide the answer. Most checking accounts from big banks don’t earn interest, but several credit unions and online banks offer checking accounts that accrue compound interest.

Invest Like Todd!

Use the information provided by the software critically and at your own risk. With savings and investments, interest can be compounded at either the start or the end of the compounding period. If
additional deposits or withdrawals are included in your calculation, our calculator gives you the option to include them at either the start
or end of each period. In this comprehensive guide, we will uncover the astonishing power of compound interest and
introduce you to our user-friendly compound interest calculator. This invaluable tool allows you
to calculate the future value of your investments and observe their potential growth over time,
empowering you to make informed financial decisions. The above example has already shown the difference between simple versus compound interest.

Example: you take out a $1,000 loan for 12 months and it says “1% per month”, how much do you pay back?

Have you ever wondered how many years it will take for your investment to double its value? Besides its other capabilities, our calculator can help you to answer this question. To understand how it does it, let’s take a look at the following example.

Compounding investment returns

Ancient texts provide evidence that two of the earliest civilizations in human history, the Babylonians and Sumerians, first used compound interest about 4400 years ago. However, their application of compound interest differed significantly from the methods used widely today. In their application, 20% of the principal amount was accumulated until the interest equaled the principal, and they would then add it to the principal. Interest is the cost of using borrowed money, or more specifically, the amount a lender receives for advancing money to a borrower. When paying interest, the borrower will mostly pay a percentage of the principal (the borrowed amount). The concept of interest can be categorized into simple interest or compound interest.

The interest earned from daily
compounding will therefore be higher than monthly, quarterly or yearly compounding because of the extra frequency of compounds. The interest rate of a loan or savings can be “fixed” or “floating.” Floating rate loans or savings are normally based on some reference rate, such as the U.S. Federal Reserve (Fed) funds rate or the LIBOR (London Interbank Offered Rate). Normally, the loan rate is a little higher, and the savings rate is a little lower than the reference rate. Both the Fed rate and LIBOR are short-term inter-bank interest rates, but the Fed rate is the main tool that the Federal Reserve uses to influence the supply of money in the U.S. economy.

It is also worth knowing that exactly the same calculations may be used to compute when the investment would triple (or multiply by any number, in fact). All you need to do is just use a different multiple of P in the second step of the above example. Note that the greater the compounding frequency is, the greater the final balance. However, even when the frequency is unusually high, the final value can’t rise above a particular limit. You should know that simple interest is something different than the compound interest. On the other hand, compound interest is the interest on the initial principal plus the interest which has been accumulated.

LIBOR is a commercial rate calculated from prevailing interest rates between highly credit-worthy institutions. It is calculated by breaking out each period’s growth individually to remove the effects of any additional deposits and withdrawals. The TWR gives
you a clearer picture of how your investment might have performed if you hadn’t made extra deposits or withdrawn funds, allowing you to better assess its overall performance. To compare bank offers that have different compounding periods, we need to calculate the Annual Percentage Yield, also called Effective Annual Rate (EAR). The most comfortable way to figure it out is using the APY calculator, which estimates the EAR from the interest rate and compounding frequency. Have you noticed that in the above solution, we didn’t even need to know the initial and final balances of the investment?

Your balance will still grow, but it’ll increase at a slower rate because those extra interest earnings aren’t taken into account when calculating how much interest you’re owed. This formula can help you work out the yearly interest rate you’re getting on your savings, investment or loan. Note that you
should multiply your result by 100 to get a percentage what is federal excise tax and when do you have to pay it figure (%). Start by multiply your initial balance by one plus the annual interest rate (expressed as a decimal) divided by the number of compounds per year. Next, raise the result to the power of the number of compounds per year multiplied by the number of years. Subtract the initial balance
from the result if you want to see only the interest earned.