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

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 (2)

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

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

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    FAQs

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

    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.

    What is the Rule of 72 and how is it used? ›

    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 rule of 70 and how does it work use an example? ›

    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.

    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.

    How can you use the Rule of 72 as a strategy in your own life? ›

    Manage Inflation: Beyond investments, the Rule of 72 can help you understand how inflation might erode your purchasing power. By dividing 72 by the average inflation rate, you can estimate how long it'll take for the cost of living to double, aiding in long-term financial planning.

    Why does the 72 rule work? ›

    The value 72 is a convenient choice of numerator, since it has many small divisors: 1, 2, 3, 4, 6, 8, 9, and 12. It provides a good approximation for annual compounding, and for compounding at typical rates (from 6% to 10%); the approximations are less accurate at higher interest rates.

    How to double $2000 dollars in 24 hours? ›

    The Best Ways To Double Money In 24 Hours
    1. Flip Stuff For Profit. ...
    2. Start A Retail Arbitrage Business. ...
    3. Invest In Real Estate. ...
    4. Play Games For Money. ...
    5. Invest In Dividend Stocks & ETFs. ...
    6. Use Crypto Interest Accounts. ...
    7. Start A Side Hustle. ...
    8. Invest In Your 401(k)
    May 1, 2024

    What are some examples that the Rule of 72 could be useful for you? ›

    The Rule of 72 could apply to anything that grows at a compounded rate, such as population, macroeconomic numbers, charges, or loans. If the gross domestic product (GDP) grows at 4% annually, the economy will be expected to double in 72 / 4% = 18 years.

    What is the rule of 69 example? ›

    The Rule of 69 is a simple calculation to estimate the time needed for an investment to double if you know the interest rate and if the interest is compound. For example, if a real estate investor can earn twenty percent on an investment, they divide 69 by the 20 percent return and add 0.35 to the result.

    Why is 70 the magic number? ›

    The Rule of 70 helps investors determine the future value of an investment. Although considered a rough estimate, the rule provides the years it takes for an investment to double. The Rule of 70 is an accepted way to manage exponential growth concepts without complex mathematical procedures.

    Does the Rule of 72 really work? ›

    The Rule of 72 is reasonably accurate for low rates of return. The chart below compares the numbers given by the Rule of 72 and the actual number of years it takes an investment to double. Notice that although it gives an estimate, the Rule of 72 is less precise as rates of return increase.

    How long would $100,000 take to double? ›

    By using the Rule of 72 formula, your calculation will look like this: 72/6 = 12. This tells you that, at a 6% annual rate of return, you can expect your investment to double in value — to be worth $100,000 — in roughly 12 years.

    How to double 1000 dollars? ›

    Some of the most consistent strategies to double $1,000 include:
    1. Using the money to start a low-cost side hustle.
    2. Starting an online business.
    3. Buying and flipping goods.
    4. Retail arbitrage.
    6 days ago

    Can I double my money in 5 years? ›

    As a rate of return, long-term mutual funds can offer rates between 12% and 15% per year. With these mutual funds, it may take between 5 and 6 years to double your money.

    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 many years does it take to double your 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.

    What is the Rule of 72 in simple terms? ›

    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 are the flaws of Rule of 72? ›

    Flaws of the Rule of 72

    As we saw in the example above, the rule provides an approximation but not an exact figure of how long it will take for an investment to double in value. At a 9% compounded return, it would take slightly longer – 8.04 years – for a $1,000 investment to climb to $2,000.

    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%.

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