The Rule of 72 (2024)

Step-by-Step Guide to Understanding the Rule of 72

Last Updated February 22, 2024

What is the Rule of 72?

The Rule of 72 is a shorthand method to estimate the number of years required for an investment to double in value (2x).

In practice, the Rule of 72 is a “back-of-the-envelope” method of estimating how long it would take an investment to double given a set of assumptions on the interest rate, i.e. rate of return.

The Rule of 72 (1)

The Rule of 72 (2)

In This Article

  • The Rule of 72 is a quick method to estimate the time needed for an investment to double in value.
  • The Rule of 72 is calculated by dividing 72 by the annualized interest rate (i.e. the rate of return).
  • Luca Pacioli, an Italian mathematician, is often credited with coming up with the Rule of 72 – albeit, there is uncertainty around its origins.
  • The Rule of 72 is a reliable approximation intended for “back-of-the-envelope” math, but the estimated number of years is still a mere approximation at the end of the day.

Table of Contents

  • How to Calculate the Rule of 72
  • The Rule of 72 Formula
  • Illustrative Rule of 72 Example
  • The Rule of 72 Chart
  • Compound Interest vs. Simple Interest: What is the Difference?
  • Rule of 72 Calculator
  • The Rule of 72 Calculation Example
  • The Rule of 115 Calculation Example

How to Calculate the Rule of 72

The Rule of 72 estimates the time needed to double the value of an investment.

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.

Therefore, the Rule of 72 is a “back of the envelope” estimate of the time to double an investment, yet the method produces a relatively accurate figure.

On that note, using Excel (or a financial calculator) is recommended for a more precise figure, especially in higher stake circ*mstances.

The Rule of 72 is well-known in finance and is perceived by most as a general rule of thumb to estimate the number of years that it would take an investment to double in value.

Yet, despite the simplicity of the calculation and convenience, the methodology is rather accurate, within a reasonable range.

The Rule of 72 Formula

The formula for the Rule of 72 divides the number 72 by the annualized rate of return (i.e. the interest rate).

Number of Years to Double = 72 ÷ Interest Rate (%)

Thus, the implied number of years for the investment’s value to double (2x) can be approximated by dividing the number 72 by the effective interest rate.

However, the effective interest rate used in the equation is not in percentage form.

Illustrative Rule of 72 Example

For example, if an investor – i.e. a limited partner (LP) of the fund — decided to contribute $200,000 to an active investor’s fund.

According to the firm’s marketing documents, the normalized return should range around 9% approximately, i.e. the 9% is the set return targeted by the fund’s portfolio of investments over the long term (and various economic cycles).

If we assume the 9% annual return is in fact achieved, the estimated number of years for the original investment to double in value is roughly 8 years.

  • Number of Years to Double (n) = 72 ÷ 9 = 8 Years

The Wharton Online
and Wall Street Prep Private Equity Certificate Program

Level up your career with the world's most recognized private equity investing program. Enrollment is open for the May 13 - July 7 cohort.

Enroll Today

The Rule of 72 Chart

The chart below provides the approximate number of years for an investment to double.

The left column lists the rate of return – from 1% to 10% – while the right column lists the number of years it would take for the investment to double in value based on the corresponding return.

The Rule of 72 (3)

Compound Interest vs. Simple Interest: What is the Difference?

The Rule of 72 only applies to cases of compound interest, rather than simple interest.

  • Simple Interest → The accumulated interest to date is not added back to the original principal amount.
  • Compound Interest → The interest is calculated based on the original principal, as well as the accumulated interest incurred from prior periods (“interest on interest”).

Rule of 72 Calculator

We’ll now move on to a modeling exercise, which you can access by filling out the form below.

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.

  • Implied Number of Years to Double (2x) = 72 ÷ 6 = 12 Years

In our illustrative scenario, the investment should double in value around 12 years.

The Rule of 115 Calculation Example

There is also a related but lesser-known rule, called the “Rule of 115”.

Number of Years to Triple = 115 ÷ Interest Rate (%)

By dividing 115 by the rate of return, the estimated time for an investment to triple (3x) can be calculated.

Continuing off the previous example with the 6% return assumption:

  • Implied Number of Years to Triple (3x) = 115 ÷ 6 = 19 Years

The Rule of 72 (7)

Comments

2 Comments

most voted

newestoldest

Inline Feedbacks

View all comments

calcuing

March 25, 2022 7:24 am

Rule of 72 formula offer you to have simple calculation where you can solve your equation of doubling the investment time period.

Reply

Brad Barlow

March 25, 2022 11:36 am

Reply tocalcuing

Yes, the Rule of 72 allows you to estimate the amount of time it will take to double by dividing by the rate of return.

Reply

The Rule of 72 (2024)

FAQs

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.

What is the Rule of 72 69? ›

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.

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.

What are the flaws of Rule of 72? ›

Errors and Adjustments

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.

What is the golden 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 magic Rule of 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 is the rule of 74? ›

For a 14% rate of return, it would be the rule of 74 (adding 2 for 6 percentage points higher), and for a 5% rate of return, it will mean reducing 1 (for 3 percentage points lower) to lead to the rule of 71. For example, say you have a very attractive investment offering a 22% rate of return.

What is the rule of 114? ›

Similarly, the rule of 114 tells you approximately the number of years needed to triple your money. Use this rule to find out the time it will take your investment to quadruple. Instead of 72 you just need to use 144 (2 x 72 = 144). For instance, if your return is 9% you need to divide 144 by 9 and you will get 16.

What is the rule of 67 in finance? ›

In an action in which any part of the relief sought is a judgment for a sum of money or the disposition of a sum of money or the disposition of any other thing capable of delivery, a party, upon notice to every other party, and by leave of court, may deposit with the court all or any part of such sum or thing.

What is the rule of 55? ›

This is where the rule of 55 comes in. If you turn 55 (or older) during the calendar year you lose or leave your job, you can begin taking distributions from your 401(k) without paying the early withdrawal penalty. However, you must still pay taxes on your withdrawals.

What is the 72t rule? ›

Internal Revenue Code section 72(t) allows penalty-free1 access to assets in IRAs and employer-sponsored retirement plans under certain conditions, such as account holder death or disability, first-time home purchases, and taking substantially equal periodic payments (SEPP).

Does the Rule of 72 apply to debt? ›

You can also apply the Rule of 72 to debt for a sobering look at the impact of carrying a credit card balance. Assume a credit card balance of $10,000 at an interest rate of 17%. If you don't pay down the balance, the debt will double to $20,000 in approximately 4 years and 3 months.

Why is the rule 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 %70 rule? ›

Basically, the rule says real estate investors should pay no more than 70% of a property's after-repair value (ARV) minus the cost of the repairs necessary to renovate the home. The ARV of a property is the amount a home could sell for after flippers renovate it.

What is the rule of 42 in investing? ›

One of the key rules within my unique Income Method is the Rule of 42 - holding at least 42 income-generating investments that enable you to have reduced risk from any individual holding.

Top Articles
The 4 C's of a World-Class Change Manager
Fidelity vs. Robinhood: Which Is Best For You?
Top Scorers Transfermarkt
Pickswise the Free Sports Handicapping Service 2023
Stolen Touches Neva Altaj Read Online Free
Graveguard Set Bloodborne
Joe Gorga Zodiac Sign
Tiraj Bòlèt Florida Soir
4Chan Louisville
Price Of Gas At Sam's
Q Management Inc
Invert Clipping Mask Illustrator
Petco Vet Clinic Appointment
Recap: Noah Syndergaard earns his first L.A. win as Dodgers sweep Cardinals
Hdmovie 2
Joan M. Wallace - Baker Swan Funeral Home
Where to eat: the 50 best restaurants in Freiburg im Breisgau
Ontdek Pearson support voor digitaal testen en scoren
Обзор Joxi: Что это такое? Отзывы, аналоги, сайт и инструкции | APS
Ltg Speech Copy Paste
Pioneer Library Overdrive
Masterbuilt Gravity Fan Not Working
The Fabelmans Showtimes Near Baton Rouge
John Philip Sousa Foundation
Gncc Live Timing And Scoring
My Dog Ate A 5Mg Flexeril
Dreamcargiveaways
B.k. Miller Chitterlings
Tds Wifi Outage
Duff Tuff
Tugboat Information
The Transformation Of Vanessa Ray From Childhood To Blue Bloods - Looper
Planet Fitness Santa Clarita Photos
Has any non-Muslim here who read the Quran and unironically ENJOYED it?
craigslist | michigan
MSD Animal Health Hub: Nobivac® Rabies Q & A
2023 Fantasy Football Draft Guide: Rankings, cheat sheets and analysis
At Home Hourly Pay
Shoecarnival Com Careers
How Big Is 776 000 Acres On A Map
My Eschedule Greatpeople Me
Breaking down the Stafford trade
Arch Aplin Iii Felony
Zom 100 Mbti
Contico Tuff Box Replacement Locks
A jovem que batizou lei após ser sequestrada por 'amigo virtual'
Mmastreams.com
91 East Freeway Accident Today 2022
How to Find Mugshots: 11 Steps (with Pictures) - wikiHow
Ocean County Mugshots
7 National Titles Forum
Latest Posts
Article information

Author: Margart Wisoky

Last Updated:

Views: 5829

Rating: 4.8 / 5 (78 voted)

Reviews: 93% of readers found this page helpful

Author information

Name: Margart Wisoky

Birthday: 1993-05-13

Address: 2113 Abernathy Knoll, New Tamerafurt, CT 66893-2169

Phone: +25815234346805

Job: Central Developer

Hobby: Machining, Pottery, Rafting, Cosplaying, Jogging, Taekwondo, Scouting

Introduction: My name is Margart Wisoky, I am a gorgeous, shiny, successful, beautiful, adventurous, excited, pleasant person who loves writing and wants to share my knowledge and understanding with you.