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.

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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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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.

Compound Interest Calculator - NerdWallet (2024)

FAQs

How much interest will I earn on $500,000 in a year? ›

If you were to place $500,000 in a high-yield savings account with a 2.15% APY and wait one year, you will have earned $10,750 in interest. This rate is likely insufficient to keep up with annual inflation, which means your money will become less valuable at a higher rate than when it's accruing interest.

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.

What is $15000 at 15 compounded annually for 5 years? ›

The time period T = 5 years. A = $30,170.36 hence, the total amount after 5 year will be $30,170.36.

What is the formula for compound interest with annual contributions? ›

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.

Can I live off the interest of $100000? ›

“With a nest egg of $100,000, that would only cover two years of expenses without considering any additional income sources like Social Security,” Ross explained. “So, while it's not impossible, it would likely require a very frugal lifestyle and additional income streams to be comfortable.”

Can I live off the interest of $300000? ›

In most cases $300,000 is simply not enough money on which to retire early. If you retire at age 60, you will have to live on your $15,000 drawdown and nothing more. This is close to the $12,760 poverty line for an individual and translates into a monthly income of about $1,250 per month.

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

Answer. - At 7% compounded monthly, it will take approximately 11.6 years for $4,000 to grow to $9,000.

How long will it take to increase a $2200 investment to $10,000 if the interest rate is 6.5 percent? ›

Final answer:

It will take approximately 15.27 years to increase the $2,200 investment to $10,000 at an annual interest rate of 6.5%.

How much will 100k be worth in 30 years? ›

Answer and Explanation: The amount of $100,000 will grow to $432,194.24 after 30 years at a 5% annual return. The amount of $100,000 will grow to $1,006,265.69 after 30 years at an 8% annual return.

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.

What is $5000 invested for 10 years at 10 percent compounded annually? ›

The future value of the investment is $12,968.71. It is the accumulated value of investing $5,000 for 10 years at a rate of 10% compound interest.

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.

How do you calculate compound interest annually with examples? ›

Here, the interest is compounded annually, so the compounding period is 1 year. Note that the principal (P) will change after every 1 year. Assume that the interest for the first year is I1. I1 = R% of P = R/100 × P. Then, the amount at the end of the first year is A1 = P + I1 = P + (R/100 × P).

What is the formula for compound interest with yearly payments? ›

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. Katie Kerpel {Copyright} Investopedia, 2019.

Can you live off the interest of $500 000? ›

Key takeaways: Most people in the U.S. retire with less than $1 million. $500,000 is a healthy nest egg to supplement Social Security and other income sources. Assuming a 4% withdrawal rate, $500,000 could provide $20,000/year of inflation-adjusted income.

How much annual income can $500,000 generate? ›

A $500,000 401(k) can generate different amounts of monthly income, depending on withdrawal strategies and market conditions. If following the commonly used 4% rule, it would provide an annual income of $20,000, or approximately $1,667 per month.

What is the average return on $500,000 investment? ›

Average Rate of Return: This is more difficult to calculate because by their nature private equity firms and hedge don't always report their losses and earnings. However, most estimates suggest that you can expect average returns of up to 14%.

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.

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