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

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.

How much interest will $250 000 earn in 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 long will it take you to double $2000 at a 6% interest rate compounded annually? ›

Interest on investment rate: 6% p.a. It would take 12 yearsto double an investment of $2,000.

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

The future value of a $1000 investment today at 8 percent annual interest compounded semiannually for 5 years is $1,480.24. It is computed as follows: F u t u r e V a l u e = 1 , 000 ∗ ( 1 + i ) n.

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 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.

Can I live off interest on a million dollars? ›

Historically, the stock market has an average annual rate of return between 10–12%. So if your $1 million is invested in good growth stock mutual funds, that means you could potentially live off of $100,000 to $120,000 each year without ever touching your one-million-dollar goose. But let's be even more conservative.

Can I live off the interest of $300000? ›

It is possible to live off of $300,000 in savings or investments for an entire lifetime, but it depends on a number of factors, including your lifestyle, expenses, and the rate of return on your investments. If you are able to live frugally and invest wisely, you may be able to stretch your $300,000 over many years.

Can I live off the interest of $250000? ›

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.

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.

What is the 8 4 3 rule of compounding? ›

The 8-4-3 rule of compounding can be your way to achieve the Rs 1 crore corpus goal. Jiral Mehta, Senior Research Analyst, FundsIndia said that in this strategy, if you invest Rs 10,000 every month, assuming annual returns of 12 per cent, it takes 8 years to reach the Rs 16 lakh maturity amount.

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 long will it take $2000 invested at 8% to double? ›

For example, if an investment scheme promises an 8% annual compounded rate of return, it will take approximately nine years (72 / 8 = 9) to double the invested money.

How do you calculate compound interest for 5 years? ›

For example, if you invest Rs. 50,000 with an annual interest rate of 10% for 5 years, the returns for the first year will be 50,000 x 10/100 or Rs. 5,000. For the second year, the interest will be calculated on Rs. 50,000 + Rs. 5000 or Rs. 55,000. The interest will be Rs. 5550.

What is the interest on 15000 at a rate of interest of 5% compounded annually for 2 years? ›

=P+I=15000+1500= Rs. 16,500. Find simple interest and amount on Rs. 15000 at 5% per annum after 2 years.

What is the compound interest for the second year on 15000 invested for 5 years at 6%? ›

15000= 159 x 6 = Rs. 954.

What is the value of an investment of $15000 for 14 years at an annual interest rate of 3.85% compounded continuously? ›

Answer and Explanation:

So, the investment will be $25714.38 in 14 years at 3.85% of $15000 principal.

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