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.

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."

Don't miss: Most Americans don't understand a money term that can help you save hundreds of thousands of dollars

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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 calculating how long it will take your money to double? ›

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 a formula that helps you know when your money will double in value? ›

How Do You Calculate the Rule of 72? Here's how the Rule of 72 works. You take the number 72 and divide it by the investment's projected annual return. The result is the number of years, approximately, it'll take for your money to double.

What is a simplified formula to determine the number of years required to double your money at a given interest rate? ›

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. Dividing 72 by the annual rate of return gives investors a rough estimate of how many years it will take for the initial investment to duplicate itself.

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.

What is the formula for fund double? ›

The Rule is a quick computation that may be used to estimate how long it will take for an investment to double in value. The straightforward formula is 72 divided by the yearly interest rate.

How long will it take in a sum of money to double itself at 5% simple interest? ›

So, the time required is 20 years.

What is the double value rule? ›

The rule states that an investment or a cost will double when: [Investment Rate per year as a percent] x [Number of Years] = 72.

How long does it take to double your money at 10 percent? ›

1 At 10%, you could double your initial investment every seven years (72 divided by 10). In a less-risky investment such as bonds, which have averaged a return of about 5% to 6% over the same period, you could expect to double your money in about 12 years (72 divided by 6).

Why is 72 in the Rule of 72? ›

Daily compounding is close enough to continuous compounding for most purposes, so 69.3 or 70 should be used. The value 72 is also a convenient choice since it has so many small divisors: 2, 3, 4, 6, 8, 9, and 12.

What is the Rule of 72 calculator? ›

The Rule of 72 is a way to estimate how long it will take for an investment to double at a given interest rate, assuming a fixed annual rate of interest. You simply take 72 and divide it by the interest rate number. So, if the interest rate is 6%, you would divide 72 by 6 to get 12.

What is the Rule of 72 and 69? ›

The Rule of 72 states that by dividing 72 by the annual interest rate, you can estimate the number of years required for an investment to double. The Rule of 69.3 is a more accurate formula for higher interest rates and is calculated by dividing 69.3 by the interest rate.

How long will it take to double the money? ›

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.

How long does it take to double your money at 7%? ›

What Is the Rule of 72?
Annual Rate of ReturnYears to Double
6%12
7%10.3
8%9
9%8
6 more rows
Feb 14, 2024

How long does it take to double your money at 12 percent? ›

If you expect your wealth to grow by 12% a year, then it would take 6 years (72/12 = 6) to double.

How long does it take to double your money at 8.25 interest? ›

Hence it takes 8.74 years to double the money.

What is the 8 4 3 rule of compounding? ›

The rule of 8-4-3 for mutual funds states that if you invest Rs 30,000 monthly into an SIP with a return of 12% per annum, then your portfolio will add Rs 50 lacs in the first 8 years, Rs 50 lacs in the next 4 years to become Rs 1 cr in total value and adds further Rs 50 lacs in the next 3 yrs to reach Rs 1.5 cr.

What is the rule of 69 for doubling period? ›

It's used to calculate the doubling time or growth rate of investment or business metrics. This helps accountants to predict how long it will take for a value to double. The rule of 69 is simple: divide 69 by the growth rate percentage. It will then tell you how many periods it'll take for the value to double.

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