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

Investing for GrowthInvesting for RetirementClient ConversationsServicing Clients

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:

What is the formula for time to double 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.

How long does it take to double your money? ›

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.

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). The Rule of 72 is reasonably accurate for low rates of return.

How long will it take $400 to double itself at 6% simple interest? ›

It's called the “rule of 72”. Divide 72 by the interest rate. The result is how many years it takes to double an amount (any amount) of money. 72 / 6 = 12.

How do I double my money? ›

The time-tested way to double your money over a reasonable amount of time is to invest in a solid, balanced portfolio that's diversified between blue-chip stocks and investment-grade bonds.

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

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. 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 double investment? ›

The rule is a shortcut, or back-of-the-envelope, calculation to determine the amount of time for an investment to double in value. The simple calculation is dividing 72 by the annual interest rate.

What is the formula for simple interest? ›

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage R% (and is to be written as R/100, thus 100 in the formula).

Is 100% double your money? ›

Most people think of ROI in terms of currency: you invest $1,000 and you earn $100, that's a 10% return on your investment: ($1,000 + $100) / $1,000 = 1.10, or 10%. If your ROI is 100%, you've doubled your initial investment.

Can I retire on $300000? ›

Summary. $300,000 can last for roughly 26 years if your average monthly spend is around $1,600. Social Security benefits help bolster your retirement income and make retiring on $300k even more accessible. It's often recommended to have 10-12 times your current income in savings by the time you retire.

What will 50000 be worth in 20 years? ›

After 20 years, your $50,000 would grow to $67,195.97. Assuming an annual return rate of 7%, investing $50,000 for 20 years can lead to a substantial increase in wealth.

What is the 7% rule? ›

The seven percent savings rule provides a simple yet powerful guideline—save seven percent of your gross income before any taxes or other deductions come out of your paycheck.

How much is 5% interest on $10000? ›

You want to know your total interest payment for the entire loan. To start, you'd multiply your principal by your annual interest rate, or $10,000 × 0.05 = $500. Then, you'd multiply this value by the number of years on the loan, or $500 × 5 = $2,500.

How much is 3% interest on $5000? ›

When calculating simple interest, it's as easy as multiplying your principal balance by the given interest rate to find how much you'll earn in a year. For example, if you have $5,000 in an account that has a 3% interest rate, the balance will earn $150 in one year.

How many years will it take $600 to double with 10% interest? ›

∴t=10 years.

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 does it take to double at 5%? ›

It would take 14.4 years to double your money. Applying the rule of 72, the number of years to double your money is 72 divided by the annual interest rate in percentage. In this question, the annual percentage rate is 5%, thus the number of years to double your money is: 72 / 5 = 14.4.

How do you solve doubling time problems? ›

Doubling time is the amount of time it takes for a given quantity to double in size or value at a constant growth rate. We can find the doubling time for a population undergoing exponential growth by using the Rule of 70. To do this, we divide 70 by the growth rate (r).

How much time will a sum of money double itself at 12%? ›

⇒ T = 8 years 4 months. Hence, the correct answer is 8 years and 4 months.

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