How Long to Double Your Money? A Simple Equation May Provide the Answer (2024)

How Long to Double Your Money? A Simple Equation May Provide the Answer

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Learning the Rule of 72 gives you a simple guide for how long it could take to grow your investments.

In a world in which the value of a dollar seems to shrink each day, wouldn’t it be nice to have a quick, easy-to-understand rule of thumb that calculates the time needed to double your money?

Say hello to the Rule of 72. Even for investors who aren’t particularly fond of math, it’s hard to beat the Rule of 72 for its sheer simplicity.

Here’s the formula:
Years to double your money = 72 ÷ assumed rate of return.

Consider: You’ve got $10,000 to invest and you hope to earn 8% over time. Just divide 72 by 8—which equals 9. Now you know it’ll take approximately 9 years to grow your $10,000 to $20,000.

A lower assumed rate of return adds years to the timetable while a higher rate does the opposite.

Of course, the denominator in this simple equation represents an assumption about the rate you expect to earn. Your actual rate of return will likely vary significantly (unless you have a crystal ball!) since markets are unpredictable.

That said, if you’re trying to decide whether to invest in stocks, bonds, or cash, you can use the Rule of 72 to see how long it could take to potentially double your money using historical returns (FIGURE 1 and FIGURE 2).

Along with using the Rule of 72, your financial professional can help you choose a mix of investments that potentially offer the best chance of meeting your investment goals.

FIGURE 1
Rule of 72 in Action: The Higher the Return, the Sooner Your Investment Could Double

For illustrative purposes only. The chart above represents a set of possible investment-doubling time periods resulting from a series of hypothetical rates of return. Each time period was derived by dividing the corresponding rate of return by 72. Higher potential returns are associated with higher risk. Source: Hartford Funds.

FIGURE 2
It's a Matter of Time: Some Asset Classes Have Taken Longer to Double an Investment Than Others
Stocks and bonds* vs. certificates of deposit (* based on average rates over the past 25 years)

US Equities1US Fixed Income2CDs3
7.61%3.90%5.40%
9 years to double18 years to double13 years to double

Past performance does not guarantee future results. Indices are unmanaged and not available for investment. For illustrative purposes only.

1 US equities are represented by the S&P 500 Index, a market capitalization-weighted price index composed of 500 widely held common stocks.
2 US fixed income is represented by the Bloomberg US Aggregate Bond Index, which is composed of securities from the Bloomberg Government/Credit Bond Index, Mortgage-Backed Securities Index, Asset-Backed Securities Index, and Commercial Mortgage-Backed Securities Index. Source: Hartford Funds.
3The average of Bankrate.com's highest available 12-month CD rates as of 8/31/23. CDs, like all deposit accounts, have FDIC insurance up to the $250,000 legal limit.

Talk to your financial professional to help stay focused on meeting your long-term financial goals.

“Bloomberg®” and any Bloomberg Index are service marks of Bloomberg Finance L.P. and its affiliates, including Bloomberg Index Services Limited (“BISL”), the administrator of the indices (collectively, “Bloomberg”) and have been licensed for use for certain purposes by Hartford Funds. Bloomberg is not affiliated with Hartford Funds, and Bloomberg does not approve, endorse, review, or recommend any Hartford Funds product. Bloomberg does not guarantee the timeliness, accurateness, or completeness of any data or information relating to Hartford Fund products.

Important Risks: Investing involves risk, including the possible loss of principal.

CCWP130 3144298

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How Long to Double Your Money? A Simple Equation May Provide the Answer (2024)

FAQs

How Long to Double Your Money? A Simple Equation May Provide the Answer? ›

Here's the formula:

How long does it take to double your money? ›

What is the Rule of 72? Here's how it works: Divide 72 by your expected annual interest rate (as a percentage, not a decimal). The answer is roughly the number of years it will take for your money to double. For example, if your investment earns 4 percent a year, it would take about 72 / 4 = 18 years to double.

Does your money double every 7 years? ›

How the Rule of 72 Works. 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).

What is the formula for doubling money? ›

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 can you use to estimate how long it takes for your money to double simply by dividing the interest rate in whole numbers into 72? ›

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.

What is the math behind the Rule of 72? ›

Using the rule to estimate compounding periods

For instance, if you were to invest $100 with compounding interest at a rate of 9% per annum, the rule of 72 gives 72/9 = 8 years required for the investment to be worth $200; an exact calculation gives ln(2)/ln(1+0.09) = 8.0432 years.

Can I retire on $300000? ›

Ideally, the rate of return on your investments is enough for you to live off of, so you never need to touch your principal. With $300,000 in your retirement savings and factoring in the average annual rate of return between 10–12%, you'll have between $30,000 and $36,000 to live off of each year.

What will 20000 be worth in 10 years? ›

The table below shows the present value (PV) of $20,000 in 10 years for interest rates from 2% to 30%. As you will see, the future value of $20,000 over 10 years can range from $24,379.89 to $275,716.98.

What is the $1 rule? ›

The $1 rule is simple: If something will cost $1 or less per use, it's okay to buy. A $10 item should get at least 10 uses. A $100 item should get 100 uses, and so on.

What is a doubling equation? ›

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%.

What are the 5 stages of investing? ›

  • Step One: Put-and-Take Account. This is the first savings you should establish when you begin making money. ...
  • Step Two: Beginning to Invest. ...
  • Step Three: Systematic Investing. ...
  • Step Four: Strategic Investing. ...
  • Step Five: Speculative Investing.

Is the rule of 72 accurate? ›

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 long does it take to double money? ›

The rule says that to find the number of years required to double your money at a given interest rate, you just divide the interest rate into 72. For example, if you want to know how long it will take to double your money at eight percent interest, divide 8 into 72 and get 9 years.

How long does it take to make money double? ›

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. The rule of 72 has limitations though.

How to double the money? ›

The classic approach to doubling your money is investing in a diversified portfolio of stocks and bonds, which is likely the best option for most investors. Investing to double your money can be done safely over several years, but there's a greater risk of losing most or all your money when you're impatient.

Does your 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 can I double $5000 dollars? ›

How can I double $5000 dollars? One way to potentially double $5,000 is by investing it in a 401(k) account, especially if your employer matches your contributions. For example, if you invest $5,000 and your employer offers to fully match at 100%, you could start with a total of $10,000 in your account.

How can I double 1000 dollars? ›

How Can I Double $1000? If your employer offers a dollar-for-dollar match contribution, you can double $1,000 by investing it in your 401(k). Other than that, there's no easy or risk-free way to double $1,000—you can invest the money in individual stocks, but there will be risks involved.

How long does it take to double a $1000 investment? ›

72 / 11.14 ≈ 6.5

An investment of $1,000 would take approximately 6.5 years to double.

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