Use this rule to quickly find out when your investments will double in value (2024)

When we put our money in the market, or before we even do, one of the biggest questions we have is: How long will it take for this investment to really grow?

Luckily, there's a mathematical shortcut to help you estimate the future value of an investment. The Rule of 72 is a quick way to figure out approximately the number of years needed to double your invested money.

Using your rate of return, the Rule of 72 is a simplified formula that measures the effect of compound interest on your investment dollars. As a refresher, compound interest is calculated on your principal amount, plus your accumulated interest. It essentially pays interest on top of interest and is a huge perk of investing in the market since your interest earned is automatically reinvested, earning you even more.

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How to calculate the Rule of 72

To use the Rule of 72 formula, simply divide 72 by the expected annual rate of return. Take note that the formula assumes the same rate over the life of the investment.

As an example, say you invest $50,000 in a mutual fund that has a hypothetical 6% average rate of return. 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.

When calculating the Rule of 72 for any investment, note that the formula is an estimation tool and the years are approximate. The Rule of 72 mainly works with common rates of return that are in the range of 5% to 12%, with an 8% return as the benchmark of accuracy. Lower or higher rates outside of this range can be better predicted using an adjusted Rule of 71, 73 or 74, depending on how far they fall below or above the range. You generally add one to 72 for every three percentage point increase. So, a 15% rate of return would mean you use the Rule of 73.

Keep in mind that a mutual fund or index fund are smart investing options, especially for beginners, as it offers instant diversification by pooling money from many individuals to invest in a collection of companies. They also offer somewhat predictable returns over the long run. For instance, have returned about an 11% average annualized return since 1950, be it with significant downward and upward swings in some years.

Robo-advisors likeWealthfront,BettermentandSoFiwill build you a portfolio of index funds (usually in the form of ETFs) based on your risk tolerance, time horizon and investing goals.These are good platforms to use when you're just starting out investing since robo-advisors automatically rebalance your portfolio for you and as you get closer to your investing targets. If you want more control over your investments consider a brokerage that doesn't charge commission fees, like Charles Schwab or Fidelity.

Fidelity Investments

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    Minimum deposit and balance requirements may vary depending on the investment vehicle selected. No minimum to open a Fidelity Go®account, but minimum $10 balance according to the investment strategy chosen

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    Fees may vary depending on the investment vehicle selected. Zero commission fees for stock, ETF, options trades and some mutual funds; zero transaction fees for over 3,400 mutual funds; $0.65 per options contract. Fidelity Go® has no advisory fees for balances under $25,000 (0.35% per year for balances of $25,000 and over and this includes access to unlimited 1-on-1 coaching calls from a Fidelity advisor)

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Betterment

  • Minimum deposit and balance

    Minimum deposit and balance requirements may vary depending on the investment vehicle selected. For example, Betterment doesn't require clients to maintain a minimum investment account balance, but there is a ACH deposit minimum of $10. Premium Investing requires a $100,000 minimum balance.

  • Fees

    Fees may vary depending on the investment vehicle selected, account balances, etc. Click here for details.

  • Investment vehicles

  • Investment options

    Stocks, bonds, ETFs and cash

  • Educational resources

    Betterment offers retirement and other education materials

Terms apply. Does not apply to crypto asset portfolios.

The Rule of 72 and inflation

The Rule of 72 can also help you see how long it would take for the effect of inflation to cut your money in half.

As an example, say you have $100,000 and expect a hypothetical long-term inflation rate of 3%. Since inflation reduces your purchasing power over time, your $100,000, if not invested, would lose half its value (aka be worth $50,000) by 24 years. The calculation for this looks like: 72/3 = 24. If inflation increases from a rate of 3% to 6%, that same $100,000 would lose half its value even faster — in just 12 years (72/6 = 12).

Bottom line

The Rule of 72 is an easy way to quickly find out when your investments will double in value. It can also help you see how soon or far out inflation would eventually cut your money's value in half.

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Use this rule to quickly find out when your investments will double in value (2024)

FAQs

Use this rule to quickly find out when your investments will double in value? ›

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 do you calculate when an investment will double? ›

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 a formula that helps you know when your money will double in value? ›

How Do You Calculate the Rule of 72? 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.

Is the Rule of 72 true? ›

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.

What is the Rule of 72 100000? ›

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 the doubling formula? ›

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 is the 8 4 3 rule of compounding? ›

The rule of 8-4-3 when it comes to compounding indicates a style of investment that accelerates growth with time. Initially, a corpus doubles within 8 years through an average annual return of 12% subsequently another doubling happens for the same period after another 4 years following its initial setting up.

What is the double value rule? ›

To use the Rule of 72 in order to determine the approximate length of time it will take for your money to double, simply divide 72 by the annual interest rate. For example, if the interest rate earned is 6%, it will take 12 years (72 divided by 6) for your money to double.

What is the doubling money trick? ›

The rule of 72 is a shortcut investors can use to determine how long it will take their investment to double based on a fixed annual rate of return. All you do is divide 72 by the fixed rate of return to get the number of years it will take for your initial investment to double.

What is the double calculation? ›

Let's discuss the formula for doubling numbers. We can double any number in two ways. 1) Multiply the number by 2. Double of. 2) Add the number to itself.

Does the Rule of 72 always work? ›

For higher rates, a larger numerator would be better (e.g., for 20%, using 76 to get 3.8 years would be only about 0.002 off, where using 72 to get 3.6 would be about 0.2 off). This is because, as above, the rule of 72 is only an approximation that is accurate for interest rates from 6% to 10%.

What is Rule 69 and Rule 72? ›

Rules of 72, 69.3, 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.

Why does the rule of 70 work? ›

The reason why the rule of 70 is popular in finance is because it offers a simple way to manage complicated exponential growth. It breaks down growth formulas into a simple equation using the number 70 alongside the rate of return.

What is the rule of 78? ›

The Rule of 78 is an important consideration for borrowers who potentially intend to pay off their loans early. The Rule of 78 holds that the borrower must pay a greater portion of the interest rate in the earlier part of the loan cycle, which means the borrower will pay more than they would with a regular loan.

What is the rule of 75 investment? ›

That means that if your goal is to retire and live off the interest of your investments as soon as possible, you should plan to save and reinvest 75% of all increases to your income.

What is the rule of 100 in investing? ›

According to this principle, individuals should hold a percentage of stocks equal to 100 minus their age. So, for a typical 60-year-old, 40% of the portfolio should be equities. The rest would comprise high-grade bonds, government debt, and other relatively safe assets.

How long does it take a 5% investment to double? ›

Why it Pays to Know the Math
Rate of ReturnRule of 72 # of Years to Double MoneyLogarithmic Formula # of Years to Double Money
4%18.017.7
5%14.414.2
6%12.011.9
7%10.310.2
15 more rows
Sep 14, 2023

How long does it take for an investment to double at 7%? ›

What Is the Rule of 72?
Annual Rate of ReturnYears to Double
7%10.3
8%9
9%8
10%7.2
6 more rows

How long will it take for an investment of 2000 to double in value? ›

The calculated value of the number of years required for the investment of $2,000 to become double in value is 9 years.

How long will it take money to double if it is invested at 10%? ›

A 10% interest rate will double your investment in about 7 years (72 ∕ 10 = 7.2); an amount invested at a 12% interest rate will double in about 6 years (72 ∕ 12 = 6). Using the Rule of 72, you can easily determine how long it will take to double your money.

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