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 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 will $10,000 make in a high yield savings account? ›

$10,000 in savings generates this much in interest
Account typeInterest earned after one year
Savings Account, 0.01% APY$1.00
High-Yield Savings Account, 4.50% APY$450
Aug 9, 2023

How much will I have if I invest $300 a month? ›

If you invest $300 each month, that comes out to $3,600 over the course of a full year. And after 30 years of investing, that would total $108,000. But with the power of compounding, your portfolio's value could rise far higher than that.

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 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.

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.

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 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.

Do millionaires use high-yield savings accounts? ›

Millionaires Like High-Yield Savings, but Not as Much as Other Accounts. Usually offering significantly more interest than a traditional savings account, high-yield savings accounts have blown up in popularity among everyone, including millionaires.

Can you ever lose your money with high-yield savings account? ›

You can't lose your money because, just like your regular checking and savings accounts, the money is insured by the Federal Deposit Insurance Corporation up to $250,000.

How much does a $10,000 CD make in a year? ›

Earnings on a $10,000 CD Over Different Terms
Term LengthAverage APYInterest earned on $10,000 at maturity
1 year1.81%$181
2 years1.54%$310.37
3 years1.41%$428.99
4 years1.32%$538.55
1 more row
May 14, 2024

How much do I need to invest to make $1000 a month? ›

A stock portfolio focused on dividends can generate $1,000 per month or more in perpetual passive income, Mircea Iosif wrote on Medium. “For example, at a 4% dividend yield, you would need a portfolio worth $300,000.

What if I invested $1000 in S&P 500 10 years ago? ›

Over the past decade, you would have done even better, as the S&P 500 posted an average annual return of a whopping 12.68%. Here's how much your account balance would be now if you were invested over the past 10 years: $1,000 would grow to $3,300. $5,000 would grow to $16,498.

How much will $100 a month be worth in 30 years? ›

Investing $100 per month, with an average return rate of 10%, will yield $200,000 after 30 years. Due to compound interest, your investment will yield $535,000 after 40 years. These numbers can grow exponentially with an extra $100. If you make a monthly investment of $200, your 30-year yield will be close to $400,000.

How long will it take to double $1000 at 6% interest? ›

This means that the investment will take about 12 years to double with a 6% fixed annual interest rate. This calculator flips the 72 rule and shows what interest rate you would need to double your investment in a set number of years.

How to calculate compound interest for 2 years? ›

4.6
  1. Given:
  2. Formula Used:
  3. C.I = P[{1 + (R/100)}T - 1]
  4. Calculation:
  5. C.I = 5000[{1 + (20/100)}2 - 1]
  6. ⇒ 5000[{1 + (1/5)}2 - 1]
  7. ⇒ 5000[(6/5)2 - 1]
  8. ∴ The compound interest is Rs. 2200.
Feb 24, 2024

What is the future value of $10000 deposit after 2 years at 6% simple interest? ›

The future value of $10,000 on deposit for 2 years at 6% simple interest is $11200.

How do you calculate interest over 2 years? ›

  1. The formula A = P(1 + r)t can be used to calculate compound interest, where A is the total amount at the end of the time period.
  2. Identify values for: P (the principal amount), r (the interest rate as a decimal) and t (the period of time).
  3. Put these values into the formula A = P(1 + r)t 3.

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