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? ›

    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 and how do you use it? ›

    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 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.

    How can the Rule of 72 can be used for your personal success? ›

    The rule of 72 can help you forecast how long it will take for your investments to double. Divide 72 by the annual fixed interest rate to determine the rate at which the money would double. Historical returns on your investment type can help choose a realistic expected return rate, in some cases.

    Which answer is the correct calculation for the Rule of 72? ›

    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.

    What is an example of Rule of 72? ›

    The Rule of 72 Calculation Example

    Suppose an investment earns 6.0% each year. Q. Given the 6.0% rate of return, how many years will it take for the value of the investment to double? If we divide 72 by 6, we can calculate the number of years it would take for the investment to double.

    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.

    What are 2 uses of Rule 72? ›

    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.

    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.

    What is the best use of the rule of 70? ›

    The rule of 70, also known as doubling time, calculates the years it takes for an investment to double in value. The calculation is commonly used to compare investments with different annual interest rates.

    How to double $100,000 in a year? ›

    Doubling money would require investment into individual stocks, options, cryptocurrency, or high-risk projects. Individual stock investments carry greater risk than diversification over a basket of stocks such as a sector or an index fund.

    How to double $2000 dollars in 24 hours? ›

    Try Flipping Things

    Another way to double your $2,000 in 24 hours is by flipping items. This method involves buying items at a lower price and selling them for a profit. You can start by looking for items that are in high demand or have a high resale value. One popular option is to start a retail arbitrage business.

    What is a millionaires best friend ramsey? ›

    One awesome thing that you can take advantage of is compound interest. It may sound like an intimidating term, but it really isn't once you know what it means. Here's a little secret: compound interest is a millionaire's best friend. It's really free money.

    How can I double $5000 dollars? ›

    To turn $5,000 into more money, explore various investment avenues like the stock market, real estate or a high-yield savings account for lower-risk growth. Investing in a small business or startup could also provide significant returns if the business is successful.

    What is the Rule of 72 useful in calculating quizlet? ›

    dividing 72 by the interest rate will show you how long it will take your money to double. How many years it takes an invesment to double, How many years it takes debt to double, The interest rate must earn to double in a time frame, How many times debt or money will double in a period of time.

    What can you use the Rule of 72 to estimate quizlet? ›

    The number of years it takes for a certain amount to double in value is equal to 72 divided by its annual rate of interest. It is only an approximation. Interest rate must remain constant.

    How many years will it take to double an amount at 3 percent interest? ›

    If your money is in a savings account earning 3% a year, it will take 24 years to double your money (72 / 3 = 24).

    What are three things the Rule of 72 can determine? ›

    dividing 72 by the interest rate will show you how long it will take your money to double. How many years it takes an invesment to double, How many years it takes debt to double, The interest rate must earn to double in a time frame, How many times debt or money will double in a period of time.

    How long does it take to double your money at 5 interest? ›

    If the expected annual return on a CD is 5% and you invest the same amount, it will take you 14.4 years to double your money.

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