Rule of 72: What Is It and How To Use It? | WealthDesk (2024)

From WealthDesk29th Jul'22 4 min read

  • investments
  • rule of 72

We all dream of doubling our money, and for that, we use multiple investment strategies and opt for expert advisories. There is no assured solution that guarantees the doubling of your money. However, there are ways to predict the time frame your investment can double. One such way is the Rule of 72.

This article highlights the concept of Rule of 72 in finance, its formula, how you can use it, and whether it gives accurate results.

What Is The Rule Of 72 In Finance?

The Rule of 72 is a mathematical formula used to estimate the approximate time your investment would take to double in value at a specific annual compounded rate of return. Alternatively, the Rule of 72 also helps to estimate the annual compounded rate of return required to double your investment in a particular time frame.

Rule Of 72 Formula

The formula for Rule of 72 is as below.

  • Doubling period

To calculate the approximate time your investment would take to double in value, you need to divide 72 by the expected annual compounded rate of return.

Doubling period (in years) = 72 / expected annual compounded rate of return.

Note: You need to consider the ‘whole number’ of the rate of return and not a decimal number. For instance, if the expected rate of return is 8%, you need to divide 72 by 8, not 0.08.

  • The required rate of return

To arrive at the required rate of return needed to double your investment in a set time, you need to divide 72 by the number of years you plan to hold your investment.

Required rate of return (in %) = 72 / number of years

The result is a compounding rate of return you require to double your investment in the specified number of years.

Also Read: All You Need To Know About Price-To-Earnings (P/E) Ratio

Rule Of 72 Example

  1. Harsh*t has invested ₹3,00,000 in an automobile manufacturing company, expecting he would get a 9.5% compounded rate of return every year. He wants to know when his investment would get doubled, and here is how he can calculate the approximate doubling period using the Rule of 72.

Doubling period = 72 / 9.5 = 7.58 Years

Harsh*t’s investment would take approximately seven and a half years to double in value.

  1. Ruchi has an investable income of ₹5,00,000, and she is aiming for it to be ₹10,00,000 in seven years. She wants to know the annual compounded rate of return required to reach her targeted portfolio size in seven years and here is how Rule of 72 can help her figure it out quickly.

Required rate of return = 72 / 7 = 10.29%

If Ruchi gets a compounded rate of return of 10.29% every year, she can reach her targeted portfolio size in approximately seven years.

How Can You Use Rule Of 72?

  • Investment Planning:

    You can use Rule of 72 for your investment planning. For instance, you invest ₹1,00,000 today, assuming you will get a 10% return every year. Plus, let’s assume your investment horizon is 21 years. With this amount and yearly fixed rate of return, your investment would nearly double in 7.2 years.

    It means your ₹1,00,000 would become approximately ₹2,00,000 in the first seven years. Then, in the next seven years, ₹2,00,000 would become nearly ₹4,00,000. And, at the end of your investment horizon, your investment would reach approximately ₹8,00,000 (double ₹4,00,000).

    This way, you can roughly calculate how much investment amount you will have at the end of your investment horizon. However, in case of any minor variation in the compounding interest rate, the period your money will double can change.

    You can use Rule of 72 even if you get monthly or quarterly returns, provided your returns compound annually. For example, if you get 2% returns every month, it will take 36 months (72/2) or three years for your investment to double.

  • Interest on the borrowed amount:

    The Rule of 72 can also help you roughly predict the time frame in which interest on your borrowed amount can double the amount you owe. For instance, you took a loan of ₹5,00,000 at 9% fixed compound interest per annum. Therefore, according to Rule 72, your loan would reach approximately ₹10,00,000 in eight years (72/9).

Also Read: How To Track Your Investment Portfolio?

Is The Rule Of 72 Accurate?

Here are some conditions in which Rule of 72 usually works.

  • The fixed interest rate/rate of return compounds annually.
  • The rate of return is low, typically between 6-10%.
  • Investors make a one-time investment and the income generated from the investment is reinvested for compounding returns.

If these conditions are satisfied, the Rule of 72 can quickly give you near to the exact number. Instead, if you want to calculate the accurate doubling period, you can use the doubling time formula.

Rule of 72: What Is It and How To Use It? | WealthDesk (1)

Where ln =Natural log

r = Annual rate of return

n = Compounding frequency per year

Final Thoughts

The Rule of 72 is a quick way to estimate the time your investment would take to double at a given annual compounding rate of return. Though it doesn’t provide reliable results for the simple interest rate, the rule does not consider the risk element. Therefore, you should use this rule cautiously.

At WealthDesk, we help you make your investment journey easy yet rewarding by offering ready-made WealthBaskets. WealthBaskets are the combination of stocks and ETFs and reflect an investment idea, strategy, or theme. SEBI registered professionals design these WealthBaskets.

FAQs

Why is Rule of 72 important?

The Rule of 72 is important to quickly calculate the approximate number of years in which your investment can double at a specific annual rate of return. It can help you roughly predict the years your portfolio would take to reach your target.

How can I double my money in 5 years?

No investment guarantees that your invested money will double in five years. However, if your investment offers a fixed annual compounded rate of return of 14.4%, your invested amount can double in approximately five years.

What is the difference between Rule 72 and Rule 69?

The main difference is that Rule of 72 considers simple compounding interest, whereas Rule of 69 considers continuous compounding interest. Additionally, the accuracy of Rule of 72 decreases with higher interest rates. However, you can use Rule of 69 for any interest rate.

Who created the Rule of 72?

Luca Pacioli, an Italian mathematician, mentioned Rule of 72 in his book Summa de arithmetica, geometria, proportioni et proportionalita (Summary of Arithmetic, Geometry, Proportions, and Proportionality).

What is the Rule of 70 and 72?

Rule of 70 and Rule of 72 help calculate the approximate time your investment would take to double in value.

What Is The Rule of 72? How Can You Use It?

From WealthDesk29th Jul'22 4 min read

  • investments
  • rule of 72

Rule of 72: What Is It and How To Use It? | WealthDesk (2)

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What Is The Rule of 72? How Can You Use It?

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    Rule of 72: What Is It and How To Use It? | WealthDesk (2024)

    FAQs

    Rule of 72: What Is It and How To Use It? | WealthDesk? ›

    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 the Rule of 72 How can you use it? ›

    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.

    Why is the Rule of 72 useful if the answer will not be exact? ›

    The rule of 72 can help you get a rough estimate of how long it will take you to double your money at a fixed annual interest rate. If you have an average rate of return and a current balance, you can project how long your investments will take to double.

    What is the Rule of 72 and how is it an easy way to determine quizlet? ›

    Reason : The Rule of 72 is a formula to approximate the time it will take for a given amount of money to double at a given compound interest rate. The formula is 72 divided by the interest rate earned. In a little over seven years, $100 will double at a compound annual rate of 10 percent (72/10 = 7.2 years).

    How accurate do you think the Rule of 72 is? ›

    The rule of 72 is only an approximation that is accurate for a range of interest rate (from 6% to 10%). Outside that range the error will vary from 2.4% to 14.0%. It turns out that for every three percentage points away from 8% the value 72 could be adjusted by 1.

    How long does it take to double my 401k? ›

    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.

    Does the Rule of 72 still apply? ›

    Stocks do not have a fixed rate of return, so you cannot use the Rule of 72 to determine how long it will take to double your money. However, you still can use it to estimate what kind of average annual return you would need to double your money in a fixed amount of time.

    Does the Rule of 72 apply to debt? ›

    Yes, the Rule of 72 can apply to debt, and it can be used to calculate an estimate of how long it would take a debt balance to double if it's not paid down or off.

    Why is the Rule of 72 useful during this process? ›

    The Rule of 72 is a quick, useful formula that is popularly used to estimate the number of years required to double the invested money at a given annual rate of return. Alternatively, it can compute the annual rate of compounded return from an investment, given how many years it will take to double the investment.

    How do you use the Rule of 72 to determine the following? ›

    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. By dividing 72 by the annual rate of return, investors can get a rough estimate of how many years it will take for the initial investment to duplicate itself.

    What is the Rule of 72 allows you to estimate? ›

    The Rule of 72 is a convenient method to estimate the approximate time for invested capital to double in value. By merely taking the number 72 and dividing it by the rate of return (or interest rate) expected to be earned, the output is the approximate number of years for an investment to double.

    How do you explain Rule 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 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 error of the Rule of 72? ›

    The accuracy of the rule of 72

    The rule of 72 gives 72/9 = 8 years, which is close to the exact answer.” However, Stanford adds that the rule of 72 is only an approximation that is accurate in a range of interest rates between 6% and 10%. Outside that range, the error can vary as little as 2.4% to as much as 14%.

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

    Final answer:

    It will take approximately 15.27 years to increase the $2,200 investment to $10,000 at an annual interest rate of 6.5%.

    What is the Rule of 72 for 401k? ›

    Rule 72(t) allows penalty-free early withdrawals from retirement accounts, but comes with major restrictions. While avoiding the 10% penalty, you still owe income taxes on distributions. Payments are fixed for 5+ years and can't be changed without penalty. You lose tax-deferred growth and can't contribute anymore.

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