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.

ALSO CONSIDER:Savings Calculator||Emergency Fund Calculator || CD Calculator

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.

EXPLORE MORE ACCOUNTS

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.

More NerdWallet calculators

  • Home affordability

  • Mortgage payment

  • Down payment

  • Student loans

  • Retirement

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 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.

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.

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

The total amount of $15,000 at 15% compounded annually for 5 years will be $30,170.36 so option (B) is correct.

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.

Can I live off the interest of $300000? ›

The short answer to this question is, “Yes, provided you are prepared to accept a modest standard of living.” To get an an idea of what a 60-year-old individual with a $300,000 nest egg faces, our list of factors to check includes estimates of their income, before and after starting to receive Social Security, as well ...

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.

How to turn 100k into 1 million? ›

If you keep saving, you can get there even faster. If you invest just $500 per month into the fund on top of the initial $100,000, you'll get there in less than 20 years on average. Adding $1,000 per month will get you to $1 million within 17 years. There are a lot of great S&P 500 index funds.

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.

How much will 100k be worth in 20 years? ›

If you invest $100,000 at an annual interest rate of 6%, at the end of 20 years, your initial investment will amount to a total of $320,714, putting your interest earned over the two decades at $220,714.

How much will 10000 amount in 2 years at compound interest? ›

Calculate Rate using Rate Percent = n[ ( (A/P)^(1/nt) ) - 1] * 100. In this example we start with a principal of 10,000 with interest of 500 giving us an accrued amount of 10,500 over 2 years compounded monthly (12 times per year).

What is the future value of $1000 after 5 years at 8% per year? ›

Answer and Explanation: The future value of a $1000 investment today at 8 percent annual interest compounded semiannually for 5 years is $1,480.24.

How long will it take to double your money at 5% interest compounded annually? ›

Answer and Explanation:

It would take 14.4 years to double your money. Applying the rule of 72, the number of years to double your money is 72 divided by the annual interest rate in percentage. In this question, the annual percentage rate is 5%, thus the number of years to double your money is: 72 / 5 = 14.4.

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.

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.

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 much income will 250k generate? ›

£250k is all you need to double your State Pension. A 4.5% yield on your invested capital of £250k will produce an annual income of £11,250.

What is 7% interest on $250000? ›

How Much Is The Monthly Payment On A $250,000 Mortgage? The average monthly mortgage payment on a $250K loan with a 30-year fixed term and an interest rate of 7% is about $1,663.

Is 250k a year a lot of money? ›

Someone who makes $250,000 a year, for example, could be considered rich if they're saving and investing in order to accumulate wealth and live in an area with a low cost of living.

Top Articles
Latest Posts
Article information

Author: Wyatt Volkman LLD

Last Updated:

Views: 5717

Rating: 4.6 / 5 (46 voted)

Reviews: 85% of readers found this page helpful

Author information

Name: Wyatt Volkman LLD

Birthday: 1992-02-16

Address: Suite 851 78549 Lubowitz Well, Wardside, TX 98080-8615

Phone: +67618977178100

Job: Manufacturing Director

Hobby: Running, Mountaineering, Inline skating, Writing, Baton twirling, Computer programming, Stone skipping

Introduction: My name is Wyatt Volkman LLD, I am a handsome, rich, comfortable, lively, zealous, graceful, gifted person who loves writing and wants to share my knowledge and understanding with you.