Compound Interest Calculator & APY Calculator

The MoneyGeek compound interest calculator is simple to use and understand. Instead of using the compound interest formula, all you have to do is plug in your numbers and information about the interest. You can utilize this tool to determine how much you will owe in interest on your debt or estimate how much you will earn in interest on your investments. Daily compounding interest is the daily interest earned on your savings account balance after interest from the previous day is added.

  • For longer-term savings, there are better places than savings accounts to store your money, including Roth or traditional IRAs and CDs.
  • In mathematical terms, compound interest is a constant function with exponential and logarithmic properties.
  • The more money you can deposit on a frequent and constant basis, the better your investment horizon will look.
  • His work has been published by Intuit, Insider and the Los Angeles Times, and he’s been quoted by The Street and Yahoo Finance among other news outlets.
  • Within the first set of brackets, you need to do the division first and then the addition (division and multiplication should be carried out before addition and subtraction).

There is also “exact day interest.” Interest is calculated based on the number of days. In this case, the amount of interest will be different for February and March. Set compounding to “continuous”, “daily” or “simple” for daily interest calculations. For example, if the interest rate is 2% and you start with $1,000 after the end of a year, you’ll earn or owe $20 in interest (using annual compounding). Then at the end of two years, assuming there have been no withdrawals (or payments) you earn $20.40, not $20. This variation of the formula works for calculating time (t), by using natural logarithms.

Applying the Formula for Compound Interest

This approach is how tax payments would work on savings stored inside a tax deferred retirement account. Click “Calc.” Interest and future value are calculated (FV is starting amount plus the interest.) Depositors should use the Annual Percentage Yield (APY) calculation for comparing deposit accounts. It is the rate institutions must quote in the US for interest-bearing accounts. The Consumer Financial Protection Bureau defines APY in the Truth-in-Savings Act. Use of a continuous compound interest calculator is among the various benefits of this strategy is the fact that it allows you to visualize investment horizons.

You may also wish to check out our
range of other finance calculation tools. The daily reinvest rate is the percentage figure that you wish to keep in the investment for future days of compounding. As an example, you may wish to only reinvest 80% of the daily interest you’re receiving
back into the investment and withdraw the other 20% in cash.

However, even when the frequency is unusually high, the final value can’t rise above a particular limit. In finance, the interest rate is defined as the amount charged by a lender to a borrower for the use of an asset. So, for the borrower, the interest rate is the books on cause marketing cost of the debt, while for the lender, it is the rate of return. Because lenders earn interest on interest, earnings compound over time like an exponentially growing snowball. Therefore, compound interest can financially reward lenders generously over time.

The more you can deposit, the more you’ll earn long-term as your deposits and interest accumulate. Most checking accounts from big banks don’t earn interest, but several credit unions and online banks offer checking accounts that accrue compound interest. Compare the best high-yield checking accounts to see what APYs you could earn. Credit card companies and other lenders also use compound interest to calculate your debt. Most credit card companies compound interest daily by adding the interest you owe to your principal balance. Compound interest is a type of interest that’s calculated from both the initial balance and the interest accumulated from prior periods.

We’ll use a longer investment compounding period (20 years) at 10% per year, to keep the sum
simple. The investing information provided on this page is for educational purposes only. NerdWallet, Inc. does not offer advisory or brokerage services, nor does it recommend or advise investors to buy or sell particular stocks, securities or other investments. NerdWallet, Inc. is an independent publisher and comparison service, not an investment advisor. Its articles, interactive tools and other content are provided to you for free, as self-help tools and for informational purposes only.

Help and Tools

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. Use the tables below to copy and paste compound interest formulas you need to make these calculations in a spreadsheet such as Microsoft Excel, Google Sheets and Apple Numbers. With simple interest, the balance on that bond would have been $23,250 on the maturity date.

When interest compounding takes place, the effective annual rate becomes higher than the nominal annual interest rate. The more times the
interest is compounded within the year, the higher the effective annual interest rate will be. For longer-term savings, there are better places than savings accounts to store your money, including Roth or traditional IRAs and CDs. See how your savings and investment account balances can grow with the magic of compound interest. Additionally, investors should be aware that not all investments offer daily interest that is compounded.

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. Just enter your beginning balance, the regular deposit amount at any specified interval, the interest rate, compounding interval, and the number of years you expect to allow your investment to grow.

If you are investing your money, rather than saving it in fixed rate accounts,
the reality is that returns on investments will vary year on year due to fluctuations caused by economic factors. Compound daily interest is a potent instrument for investors seeking to maximize returns. By earning interest on interest, investors can increase the value of their investments more quickly than with simple interest. It is essential to note, however, that higher interest rates and more frequent compounding can also result in higher fees and taxes, which can erode returns over time.

How do you find your compound interest rate?

The value of the investment after 10 years can be calculated as follows… In the world of personal finance, interest is an amount paid over a previously established amount, and it is invariably expressed as a percentage that we call interest rate. When you shop around for credit cards, you pay attention to the annual percentage rate (APR) because you do not want to pay too much above your credit purchases or cash advances. With the compound interest formula, you can determine how much interest you will accrue on the initial investment or debt. You only need to know how much your principal balance is, the interest rate, the number of times your interest will be compounded over each time period, and the total number of time periods. Many banks compound interest daily, but some compound it weekly, monthly or even quarterly.

The formula for creating a daily compound interest calculator Excel spreadsheet is:

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Comments on “Compound Interest Calculator”

This generally results in 1/2 a month’s interest being less than 1/2 of a full month’s interest when using monthly compounding. The results you get from a daily interest calculator will only be different from compound interest calculator quarterly results in the periodic sense. In the spirit of being more competitive, more banks are offering daily compounding, so this is the variable you are more likely to be applying. Compound interest is the formal name for the snowball effect in finance, where an initial amount grows upon itself and gains more and more momentum over time. It is a powerful tool that can work in your favor when saving, or prolong repayment for debts.

What is the time value of money?

Note that if you wish to calculate future projections without compound interest, we have a
calculator for simple interest without compounding. Select Stick or Unstick to stick or unstick the help and tools panel. Selecting “Stick” will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select “Unstick” to keep the panel in a stationary position. Since we’re calculating simple interest, the $246.60 is not added to the principle for any subsequent periods. Now, if you’re like me, and need to know what’s going on “under the hood”, here is how I set up the calculator to calculate daily interest.