This simple formula tells you how long it will take for your money to double—while you sit back and relax (2024)

If you put your money in the right places, it can grow substantially over time, thanks to the power of compound interest. It could even double, while you don't have to do a thing.

Want to figure out just how fast your money could grow? The "Rule of 72" approximates how many years it will take for your money to double, given a fixed rate of return.

"Think about your savings for the future," Tom Mathews and Steve Siebold write in their book "How Money Works," which highlights the "Rule of 72" as of one of three essential personal finance topics to understand (the other two being compound interest and the time value of money). "The Rule of 72 can give you an idea of how many doubles you'll get in your lifetime. With more time, a lower interest rate may give you enough to nail your goals. With less time, you may need a higher interest rate."

The formula is simple: 72 / interest rate = years to double

Try plugging in various interest rates from the different accounts your money is in, from savings and money market accounts to index and mutual funds. For example, if your account earns:

1%, it will take 72 years for your money to double (72 / 1 = 72)
3%, it will take 24 years for your money to double (72 / 3 = 24)
6%, it will take 12 years for your money to double (72 / 6 = 12)
9%, it will take 8 years for your money to double (72 / 9 = 8)
12%, it will take 6 years for your money to double (72 / 12 = 6)

If your money sits in a standard savings account and earns just 0.09% (the average interest rate for savings accounts nationwide), it would take 800 years to double.

If you have extra savings, you're probably better off keeping it in a high-yield savings account or certificate of deposit, which both offer significantly higher interest rates, up to 2.69%.

If you invest your money in the stock market, whether through an employer-sponsored 401(k) plan, a traditional or Roth IRA, an individual brokerage account or somewhere else, you'll likely see even bigger returns. The average annualized total return for the S&P 500 index over the past 90 years is 9.8%. Adjusted for inflation, it still comes to an annual return of around 7% to 8%. If you earn 7%, your money will double in a little over 10 years.

This simple formula tells you how long it will take for your money to double—while you sit back and relax (1)

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How compound interest works

You can also use the Rule of 72 to plug in interest rates from credit card debt, a car loan, home mortgage, or student loan to figure out how many years it'll take your money to double for someone else.

For example, the average interest rate for credit cards is 17.3%. If you divide 72 by that rate, you get 4.16 years. That's all it takes for a credit card company to earn double your money. The higher the interest rate, the more you'll owe to your lenders.

If you have debt, look into the possibility of refinancing your car loan or mortgage to get a lower interest rate.

The "Rule of 72" is "a practical eye opener that forces you to ask shrewd questions before making important money decisions," Mathews and Siebold write. If you understand and apply it to your personal finances, "you're less likely to fall for gimmicky promotions from banks, settle for opportunities that don't give you the advantage, and take on debt that might take forever to pay off."

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This simple formula tells you how long it will take for your money to double—while you sit back and relax (2)

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This simple formula tells you how long it will take for your money to double—while you sit back and relax (2024)

FAQs

This simple formula tells you how long it will take for your money to double—while you sit back and relax? ›

Do you know the Rule of 72? It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

What is the formula for doubling your money? ›

The Rule of 72 is a calculation that estimates the number of years it takes to double your money at a specified rate of return. If, for example, your account earns 4 percent, divide 72 by 4 to get the number of years it will take for your money to double. In this case, 18 years.

What is the formula to determine how long it will take for your money to double at any given interest rate known as? ›

The Rule of 72 is a simplified formula that calculates how long it'll take for an investment to double in value, based on its rate of return. The Rule of 72 applies to compounded interest rates and is reasonably accurate for interest rates that fall in the range of 6% and 10%.

How do you calculate how many years money will double? ›

Number of years to double the money = 72 / Interest Rate

It is a reasonably accurate formula and more so while using lower interest rates than higher ones. If your money is kept in a savings account that earns just 4%, it will take 18 years to double your money.

What is a simple way to figure out how to double your money in a savings account or an investment? ›

It's called the Rule of 72. The principle is simple. Divide 72 by the annual rate of return to figure how long it will take to double your money. For example, if you earn an 8 percent annual return, it will take about 9 years to double.

How to 2x your money? ›

The classic approach of doubling your money involves investing in a diversified portfolio of stocks and bonds and is probably the one that applies to most investors. Investing to double your money can be done safely over several years but there's more of a risk of losing most or all of your money if you're impatient.

How long will it take to double my money? ›

Do you know the Rule of 72? It's an easy way to calculate just how long it's going to take for your money to double. Just take the number 72 and divide it by the interest rate you hope to earn. That number gives you the approximate number of years it will take for your investment to double.

How long until money doubles calculator? ›

The Rule of 72 predicts how long an investment will take to double based on a fixed annual interest rate. The rule is this: 72 divided by the interest rate number equals the number of years for the investment to double in size. For example, if the interest rate is 12%, you would divide 72 by 12 to get 6.

How long does it take to make money double? ›

Very few investors know how long it takes to double their money. Rule of 72 can be of help. Divide 72 by the expected rate of return and the answer is the number of years required to double your money. For example, if a bond offers 6 percent rate of interest per year, then you will double your money in 12 years.

Does money double every 7 years? ›

For example, the Rule of 72 states that $1 invested at an annual fixed interest rate of 10% would take 7.2 years ((72 ÷ 10) = 7.2) to grow to $2. In reality, a 10% investment will take 7.3 years to double (1.107.3 = 2).

How to calculate doubling numbers? ›

Let's discuss the formula for doubling numbers. We can double any number in two ways. 1) Multiply the number by 2. 2) Add the number to itself.

What is the formula for simple interest? ›

The formula for simple interest is SI = P × R × T / 100, where SI = simple interest, P = principal amount, R = the interest rate per annum, and T = the time in years.

How can you estimate how long it will take for your money to double at a stated annual return? ›

The Rule of 72 is a simple way to find out.

The Rule of 72 calculates the number of years it takes an investment to approximately double in value. You simply divide 72 by any average annual growth rate and you'll have the number of years it would take to approximately double in value.

How to multiply money quickly? ›

Let's explore some of the most effective methods for multiplying your money passively, helping you achieve financial freedom and security:
  1. Investing in the Stock Market. ...
  2. Real Estate Rentals. ...
  3. Peer-to-Peer Lending. ...
  4. Dividend Stocks and Funds. ...
  5. Creating and Selling Digital Products. ...
  6. Automated Businesses and Dropshipping.
May 5, 2024

Why does the Rule of 72 work? ›

The value 72 is a convenient choice of numerator, since it has many small divisors: 1, 2, 3, 4, 6, 8, 9, and 12. It provides a good approximation for annual compounding, and for compounding at typical rates (from 6% to 10%); the approximations are less accurate at higher interest rates.

What is the math formula for saving money? ›

The 50-30-20 rule recommends putting 50% of your money toward needs, 30% toward wants, and 20% toward savings.

What is the doubling formula? ›

Imagine that we have a population growing at a rate of 4% per year, which is a pretty high rate of growth. By the Rule of 70, we know that the doubling time (dt) is equal to 70 divided by the growth rate (r). That means our formula would look like this: dt = 70 / r.

What is the doubling money trick? ›

Key Takeaways
  1. The rule of 72 is a shortcut investors can use to determine how long it will take their investment to double based on a fixed annual rate of return.
  2. All you do is divide 72 by the fixed rate of return to get the number of years it will take for your initial investment to double.
Feb 14, 2024

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.

What is the formula for doubling every 20 minutes? ›

The population of a colony of bacteria can double every 20 minutes, as long as there is enough space and food. The more bacteria you already have, the more new bacteria you get. This is modeled by the function P(t)=P02t/20, where P0 is the number of bacteria you start with and t is the time, measured in minutes.

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