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.

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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.

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 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 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.

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

Expert-Verified Answer

It would take 16.66 years to grow from $5,000 to $10,000 if it could earn 6% interest.

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 much will $10,000 be worth in 20 years? ›

The table below shows the present value (PV) of $10,000 in 20 years for interest rates from 2% to 30%. As you will see, the future value of $10,000 over 20 years can range from $14,859.47 to $1,900,496.38.

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 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 will 1 million be worth in 30 years? ›

The rate of inflation can vary from year to year, and it's difficult to predict exactly how much a million dollars will be worth in 30 years. However, using the average inflation rate over the past 30 years, which is around 2% per year, a million dollars today would be worth approximately $564,000 in 30 years.

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%.

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 can you live off the interest of 1 million dollars? ›

Around the U.S., a $1 million nest egg can cover an average of 18.9 years worth of living expenses, GoBankingRates found. But where you retire can have a profound impact on how far your money goes, ranging from as a little as 10 years in Hawaii to more than than 20 years in more than a dozen states.

How to turn 200k into passive income? ›

If you have at least $200,000 to invest for passive income, here are some of the smartest ways to do it.
  1. Dividend stocks. ...
  2. Index Funds. ...
  3. Rental Properties. ...
  4. Real Estate Investment Trusts (REITs) ...
  5. Real Estate Crowdfunding. ...
  6. Fixed-Income Securities. ...
  7. Peer-to-Peer Lending. ...
  8. Art and Fine Wine Investments.
Jan 26, 2024

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

Assuming a 4% withdrawal rate, $500,000 could provide $20,000/year of inflation-adjusted income. The 4% “rule” is oversimplified, and you will likely spend differently. The amount you need depends on things like your monthly spending and income sources.

Can you live off the interest of $500000? ›

Key Takeaways. It may be possible to retire at 45 years of age, but it depends on a variety of factors. If you have $500,000 in savings, then according to the 4% rule, you will have access to roughly $20,000 per year for 30 years.

How much interest does 500k earn a month? ›

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%. If you would like to see rates for deferred annuities you can find today's annuity rates here.

How much money do I need to invest to make $3,000 a month? ›

Imagine you wish to amass $3000 monthly from your investments, amounting to $36,000 annually. If you park your funds in a savings account offering a 2% annual interest rate, you'd need to inject roughly $1.8 million into the account.

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