How Long to Double Your Money? Use the Rule of 72. (2024)

The Rule of 72 is a math rule that lets you estimate how long it will take to double your nest egg for any given rate of return. It makes a good teaching tool to illustrate the impact of different rates of return, but it makes a poor tool to project the future value of your savings, particularly as you near retirement and need to be more careful how your money is invested.

Learn more about how this rule works, and the best way to use it.

How the Rule of 72 Works

To use the rule, divide 72 by the investment return (the interest rate your money will earn). The answer will tell you the number of years it will take to double your money.

For example:

  • If your money is in a savings account earning 3% a year, it will take 24years to double your money (72 / 3 = 24).
  • If your money is in a stock mutual fund that you expect will average 8%a year, it will take you nine years to double your money (72 / 8 = 9).

As a Teaching Tool

The Rule of 72 can be useful as a teaching tool to illustrate the risks and outcomes associated with short-term investing versus long-term investing.

When it comes to investing, if your money is used to reach a short-term financial destination, it doesn’t much matter if you earn a 3% rate of return or an 8% rate of return. Since your destination is not that far off, the extra return won’t make much of a difference in how quickly you accumulate money.

It helps to look at this picture in real dollars. Using the Rule of 72, you saw that an investment earning 3%doubles your money in 24 years; one earning 8% takes nineyears. That's a big difference, but how big is the difference after just one year?

Suppose you have $10,000. After one year, in a savings account at a 3% interest rate, you have $10,300. In the mutual fund earning 8%, you have $10,800. Not a big difference.

Stretch that out to year nine. In the savings account, you have about $13,050. In the stock index mutual fund, according to the Rule of 72 your money has doubled to $20,000.

This is a much bigger difference that only grows with time. In another nine years, you have about $17,000 in savings but about $40,000 in your stock index fund.

Over shorter time frames, earning a higher rate of return does not have much of an impact. Over longer time frames, it does.

Is the Rule Useful As You Near Retirement?

The Rule of 72 can be misleading as you near retirement.

Suppose you are 55with $500,000 and expect your savings to earn about 7% and double over the next 10years. You plan on having $1 million at age 65. Will you?

Maybe, maybe not. Over the next 10 years, the markets could deliver a higher or a lower return than what averages lead you to expect.

Because your window of time is shorter, you have less ability to account for and correct any fluctuations in the market. By counting on something that may or may not happen, you may save less or neglect other important planning steps like annual tax planning.

Note

The Rule of 72 is a fun math rule and a good teaching tool, but you shouldn't rely on it to calculate your future savings.

Instead, make a list of all the things you can control and the things you can't. Can you control the rate of return you will earn? No. But you can control:

  • The level of investment risk you take
  • How much you save
  • How often you review your plan

Even Less Useful Once in Retirement

Once retired, your main concerns are to take income from your investments and figure out how long your money will last, depending on how much you take. The Rule of 72 doesn't help with this task.

Instead, you need to look at strategies like:

  • Time segmentation, which involves matching up your investments with the point in time when you will need to use them
  • Withdrawal rate rules, which help you figure out how much you can safely take out each year during retirement

The best thing you can do is to make your own retirement income plan timeline to help you visualize how the pieces are going to fit together.

If financial planning were as easy as the Rule of 72, you might not need a professional to help. In reality, there are far too many variables to consider.

Using a simple math equation is no way to manage money.

Frequently Asked Questions (FAQs)

What interest rate would double your money in five years?

You can reverse the Rule of 72 to work backward from your timing target. If you want to double your money in five years, divide 72 by five. According to the Rule of 72, it would take about 14.4 years to double your money at 5% per year.

Does a stock split double your money?

No, a stock split does not double your money. Your brokerage will automatically adjust the value of each share after the split. In a 2:1 stock split, each share will be worth half as much. In a 3:1 stock split, each share will be worth a third as much.

How Long to Double Your Money? Use the Rule of 72. (2024)

FAQs

How Long to Double Your Money? Use the Rule of 72.? ›

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 Rule of 72 doubling time? ›

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

So, if the interest rate is 6%, you would divide 72 by 6 to get 12. This means that the investment will take about 12 years to double with a 6% fixed annual interest rate.

Does a 401k double every 7 years? ›

One of those tools is known as the Rule 72. For example, let's say you have saved $50,000 and your 401(k) holdings historically has a rate of return of 8%. 72 divided by 8 equals 9 years until your investment is estimated to double to $100,000.

How long will it take for the principal to double using the Rule of 72? ›

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).

Does the Rule of 72 really work? ›

The Rule of 72 helps you determine how long it might take for your money to hypothetically double. It's worth noting, the “rule of 72” definition isn't necessarily perfectly accurate because past market results do not predict future market behavior.

What is the interest rate earned on a $1400 deposit when $1800 is paid back in one year? ›

Answer and Explanation:

Therefore, the interest rate earned on the $1,400 deposit is approximately 28.57%. So, the Simple interest is $400.

How much is $10000 for 5 years at 6 interest? ›

Summary: An investment of $10000 today invested at 6% for five years at simple interest will be $13,000.

How long will it take for you to get $100000.00 if you invest $5000.00 in an account giving you 9.7% interest compounded continuously? ›

t = ln(100,000/5,000)/0.097 ≈ 12.35 years Using the formula for continuous compounding interest, it will take approximately 12.35 years for a $5,000 investment to grow to $100,000 at an interest rate of 9.7% compounded continuously.

How long will it take to increase a $2200 investment to $10,000 if the interest rate is 6.5 percent? ›

Expert-Verified Answer

It will take approximately 24.04 years for a $2,200 investment to increase to $10,000 with a compound annual interest rate of 6.5%.

What age should you have 100k in 401k? ›

“By the time you hit 33 years old, you should have $100,000 saved somewhere,” he said, urging viewers that they can accomplish this goal. “Save 20 percent of your paycheck and let the market grow at 5% to 7% per year,” O'Leary said in the video.

What will 50k be worth in 20 years? ›

Assuming an annual return rate of 7%, investing $50,000 for 20 years can lead to a substantial increase in wealth. If you invest the money in a diversified portfolio of stocks, bonds, and other securities, you could potentially earn a return of $159,411.11 after 20 years.

Is a 7% return realistic? ›

While quite a few personal finance pundits have suggested that a stock investor can expect a 12% annual return, when you incorporate the impact of volatility and inflation, 7% is a more accurate historical estimate for an aggressive investor (someone primarily invested in stocks), and 5% would be more appropriate for ...

What are the flaws of Rule of 72? ›

Rule 72 Limitations

Here are some main disadvantages to calculating your income using this formula: The formula uses a fixed percentage. As you understand, a fixed percentage can only be obtained on a deposit; in investments, the percentage varies depending on the market situation. It works only with annual payments.

What is the limitation of Rule 72? ›

It is not an exact value and can only provide a general estimate of the time required to double the investment. If the interest rate changes due to some factor, the Rule of 72 becomes null and void. The Rule of 72 does not apply to changing interest rate investments or basic interest investments.

How to double 1000 dollars? ›

One of the easiest ways to double $1,000 is to invest it in a 401(k) and get the employer match. For example, if your employer matches your contributions dollar for dollar, you'll get a $1,000 match on your $1,000 contribution.

What is the rule of doubling time? ›

There is an important relationship between the percent growth rate and its doubling time known as “the rule of 70”: to estimate the doubling time for a steadily growing quantity, simply divide the number 70 by the percentage growth rate.

How do you find doubling time on a rule of 70 calculator? ›

The Rule of 70 Formula

Hence, the doubling time is simply 70 divided by the constant annual growth rate. For instance, consider a quantity that grows consistently at 5% annually. According to the Rule of 70, it will take 14 years (70/5) for the quantity to double.

What is the doubling formula? ›

The Rule of 70 is a simplified way of determining the doubling time using the equation, doubling time = 70 / r , where r is the rate of growth for a population in percent. For example, if a population of 10 species were growing by two individuals a year, the r value would be 20%.

Is the Rule of 72 a reliable way to estimate doubling time? ›

The Rule of 72 gives an estimation of the doubling time for an investment. It is a fairly accurate measurement, and more so when using lower interest rates rather than higher ones. It is used for situations involving compound interest. A simple interest rate does not work very well with the Rule of 72.

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