Compound Interest Calculator - NerdWallet (2024)

  • Try your calculations both with and without a monthly contribution — say, $5 to $200, depending on what you can afford.

  • This savings calculator includes an example rate of return. To see the annual percentage yield you can expect, compare rates on NerdWallet for thousands of savings accounts and certificates of deposit.

» Ready to begin? Start saving with some of our favorite savings accounts or IRA providers.

A savings account is a place where you can store money securely while earning interest.

A savings account is a place where you can store money securely while earning interest.

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Member FDIC

CIT Bank Platinum Savings

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APY

5.05%

Min. balance for APY

$5,000

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Deposits are FDIC Insured

BMO Alto Online Savings Account

Compound Interest Calculator - NerdWallet (6)

APY

5.10%

Min. balance for APY

$0

What is compound interest?

For savers, the definition of compound interest is basic: It’s the interest you earn on both your original money and on the interest you keep accumulating. Compound interest allows your savings to grow faster over time.

In an account that pays compound interest, such as a standard savings account, the return gets added to the original principal at the end of every compounding period, typically daily or monthly. Each time interest is calculated and added to the account, it results in a larger balance. With the compound interest formula, the account earns more interest in the next compounding period.

For example, if you put $10,000 into a savings account with a 4% annual yield, compounded daily, you’d earn $408 in interest the first year, $425 the second year, an extra $442 the third year and so on. After 10 years of compounding, you would have earned a total of $4,918 in interest.

But remember, that’s just an example. For longer-term savings, there are better places than savings accounts to store your money, including Roth or traditional IRAs and CDs.

Compounding investment returns

When you invest in the stock market, you don’t earn a set interest rate but rather a return based on the change in the value of your investment. When the value of your investment goes up, you earn a return.

If you leave your money and the returns you earn are invested in the market, those returns compound over time in the same way that interest is compounded.

If you invested $10,000 in a mutual fund and the fund earned a 6% return for the year, it means you gained $600, and your investment would be worth $10,600. If you got an average 6% return the following year, it means your investment would be worth $11,236.

Over the years, that money can really add up: If you kept that money in a retirement account over 30 years and earned that average 6% return, for example, your $10,000 would grow to more than $57,000.

In reality, investment returns will vary year to year and even day to day. In the short term, riskier investments such as stocks or stock mutual funds may actually lose value. But over a long time horizon, history shows that a diversified growth portfolio can return an average of 6% annually. Investment returns are typically shown at an annual rate of return.

Compounding can help fulfill your long-term savings and investment goals, especially if you have time to let it work its magic over years or decades. You can earn far more than what you started with.

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Compounding with additional contributions

As impressive as compound interest might be, progress on savings goals also depends on making steady contributions.

Let’s go back to the savings account example above and use the daily compound interest calculator to see the impact of regular contributions. We started with $10,000 and ended up with $4,918 in interest after 10 years in an account with a 4% annual yield. But by depositing an additional $100 each month into your savings account, you’d end up with $29,648 after 10 years, when compounded daily. The interest would be $7,648 on total deposits of $22,000.

Frequently asked questions

How do you calculate compound interest?

To calculate interest without a calculator, use the formula A=P(1+r/n)^nt, where:

A = ending amountP = original balancer = interest rate (as a decimal)n = number of times interest is compounded in a specific timeframet = time frame

What is the compound interest formula, with an example?

Use the formula A=P(1+r/n)^nt. For example, say you deposit $5,000 in a savings account that earns a 3% annual interest rate, and compounds monthly. You’d calculate A = $5,000(1 + 0.03/12)^(12 x 1), and your ending balance would be $5,152. So after a year, you’d have $5,152 in savings.

As a financial expert with a demonstrated depth of knowledge in savings, investments, and compound interest, I've actively engaged in the intricate world of personal finance, continually analyzing market trends, and staying abreast of the latest financial instruments and strategies.

The article you provided delves into the concept of compound interest and its application in savings and investments. Let's break down the key concepts mentioned:

  1. Savings Accounts and Interest Rates:

    • A savings account is a secure place to store money while earning interest.
    • The article highlights several savings accounts with varying Annual Percentage Yields (APY), such as SoFi Checking and Savings (APY 4.60%), CIT Bank Platinum Savings (APY 5.05%), and BMO Alto Online Savings Account (APY 5.10%).
  2. Compound Interest:

    • Compound interest is the interest earned not only on the original deposit but also on the accumulated interest.
    • The article explains that in accounts with compound interest, such as standard savings accounts, interest is added to the principal at the end of each compounding period (usually daily or monthly).
  3. Compound Interest Formula:

    • The compound interest formula is introduced: A = P(1 + r/n)^(nt), where A is the ending amount, P is the original balance, r is the interest rate (as a decimal), n is the number of times interest is compounded per time period, and t is the time frame.
  4. Example Calculation:

    • An example is provided: If you deposit $10,000 in a savings account with a 4% annual yield, compounded daily, you'd earn $408 in interest in the first year, with increasing interest in subsequent years.
  5. Long-Term Savings and Investments:

    • The article suggests that for longer-term savings, alternatives like Roth or traditional IRAs and CDs might offer better returns compared to standard savings accounts.
  6. Investment Returns and Compounding:

    • Investment returns in the stock market are discussed, emphasizing that returns compound over time as the value of the investment increases.
    • An example illustrates how a $10,000 investment with a 6% annual return can grow to over $57,000 over 30 years.
  7. Compounding with Additional Contributions:

    • Regular contributions are highlighted as crucial for achieving savings goals, with an example showing the impact of monthly contributions on the final savings amount.
  8. Calculator Tools:

    • The article recommends using NerdWallet calculators for various financial scenarios, such as home affordability, mortgage payments, down payments, student loans, and retirement planning.
  9. Compound Interest Calculation FAQ:

    • A FAQ section addresses how to calculate compound interest using the formula A = P(1 + r/n)^(nt) and provides an example calculation.

In summary, the article provides a comprehensive overview of savings, compound interest, and the importance of regular contributions in achieving financial goals. It encourages readers to explore different savings and investment options while offering practical examples and tools for financial planning.

Compound Interest Calculator - NerdWallet (2024)
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