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? ›

Most competitive money market accounts offer APYs between 1.6% and 1.8%. A 1.8% APY would mean you earn $9,074.62 in the first year after depositing $500,000.

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 interest does $250,000 earn a year? ›

Many high-yield savings accounts from online banks offer rates from 2.05% to 2.53%. On a $250,000 portfolio, you'd receive an annual income of $5,125 to $6,325 from one of those accounts.

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.

How many years would it take money to grow from $5000 to $10000 if it could earn 6% interest? ›

Final answer:

It would take approximately 11.90 years for the money to grow from $5,000 to $10,000 with a 6% interest rate.

Can I live off the interest of $300000? ›

Yes, someone can potentially live off $300,000 in savings or investments for their entire life, but it largely depends on several factors. Firstly, their lifestyle plays a significant role. If they have modest living expenses and are frugal with their spending, $300,000 could provide a comfortable retirement.

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.

What will $1 000 be worth in 20 years? ›

As you will see, the future value of $1,000 over 20 years can range from $1,485.95 to $190,049.64.
Discount RatePresent ValueFuture Value
6%$1,000$3,207.14
7%$1,000$3,869.68
8%$1,000$4,660.96
9%$1,000$5,604.41
25 more rows

How long will it take for a $2000 investment to double in value? ›

The calculated value of the number of years required for the investment of $2,000 to become double in value is 9 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 the interest of $1000000? ›

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.

Can I live off the interest of $250,000? ›

McClanahan noted that even combined with an average Social Security benefit, $250,000 in savings is only likely to produce $2,632 a month over 25 years, when inflation and other factors are considered. That would mean a difficult struggle for many Americans.

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

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 1 dollar be worth in 30 years? ›

Real growth rates
One time saving $1 (taxable account)Every year saving $1 (taxable account)
After # yearsNominal valueNominal value
307.0793.87
3510.04137.72
4014.31200.13
7 more rows

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.

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

$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 monthly income will $500,000 generate? ›

Depending on how you manage your money, you can probably expect an annual income between $48,000 (at roughly $4,000 per month) and $63,000 (at roughly $5,300 per month). More is possible if you invest for more aggressive returns, but that will mean taking on more risk.

How much interest does 500k earn a month? ›

You can also generate a monthly income using fixed annuities. A $500,000 annuity would pay you $29,519.92 per year in interest, or $2,395.83 per month if you prefer to set up systematic withdrawals of interest. These payments assume a guaranteed interest rate of 5.75%.

How much income does $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.

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