The Rule Of 72

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Rule Of 72 - Douglas E. Castle - The Braintenance Blog

THE RULE OF 72

By: Douglas E. Castle

=>A Method Of Estimating How Long It Will Take (In Years) To Double Your Money Using Compound Interest At A Given Rate.

=> A Method Of Estimating At What Rate Of Compound Interest It Will Take (In A Whole Number Percentage) To Double Your Money In A Given Number Of Years.

In finance, the rule of 72, the rule of 70 and the rule of 69 are methods for estimating an investment’s doubling time. The rule number (e.g., 72) is divided by the interest percentage per period to obtain the approximate number of periods (usually years) required for doubling. Although scientific calculators and spreadsheet programs have functions to find the accurate doubling time, the rules are useful for mental calculations and when only a basic calculator is available.

These rules apply to exponential growth and are therefore used for compound interest as opposed to simple interest calculations. They can also be used for decay to obtain a halving time. The choice of number is mostly a matter of preference, 69 is more accurate for continuous compounding, while 72 works well in common interest situations and is more easily divisible. There are a number of variations to the rules that improve accuracy. For periodic compounding, the exact doubling time for an interest rate of r per period is

,

where T is the number of periods required. The formula above can be used for more than calculating the doubling time. If you want to know the tripling time, for example, simply replace the constant 2 in the numerator with 3. As another example, if you want to know the number of periods it takes for the initial value to rise by 50%, replace the constant 2 with 1.5.

You can amaze your friends and colleagues by doing compound interest computations in your head (or on a napkin, if you require one).

For example, the amount of time that is required to double your investment at a compound interest rate of 4% would be 72/4, or 18 years, while the time required to double your investment at a rate of 8% would be 72/8, or 9 years.

As another example, the rate of compound interest required to double your money in 5 years would be 72/5, or 14.4%, while the rate of compound interest required to double your money in 10 years would be 72/10, or 7.2% per year.

It’s a very good system for quick and dirty estimates of time and compound interest. Use it, and enjoy it.

 

Douglas E. Castle

 

Labels, Tags, Keywords, Categories And Search Terms For This Article: Rule of 72, computations, investments, ROI, compound interest, doubling money, The Braintenance Blog, Douglas E. Castle, math shortcuts, financial calculations, Douglas E. Castle Blog, Rule of 69, Rule of 70, Rules of thumb, capital recovery, the Payback Method.

 

NOTE: THE INFORMATION CONTAINED IN THIS ARTICLE SHOULD NOT BE CONSTRUED BY THE READER AS BEING LEGAL, FINANCIAL, TAX, ACCOUNTING, ECONOMIC OR INVESTMENT ADVICE. NO OFFERING OF SECURITIES OR OTHER INVESTMENT INTERESTS OF ANY TYPE IN ANY ENTITY IS MADE HEREBY, NOR IS A SOLICITATION FOR THE PURCHASE OF SECURITIES OR OTHER INVESTMENT INTERESTS OF ANY TYPE IN ANY ENTITY MADE HEREBY. THIS ARTICLE IS INTENDED FOR GENERAL INFORMATIONAL PURPOSES ONLY AND REPRESENTS THE VIEW OF THE AUTHOR ONLY.

THIS ARTICLE IS COPYRIGHT 2014 BY DOUGLAS E. CASTLE, WITH ALL RIGHTS RESERVED. ANY REPRODUCTION, TRANSMITTAL OR DISTRIBUTION OF THIS ARTICLE, EITHER IN WHOLE OR PART, IS UNAUTHORIZED AND MAY BE UNLAWFUL, UNLESS FULL ATTRIBUTION IS GIVEN TO THE AUTHOR AND ALL IMAGES AND LINKS IN THE ARTICLE REMAIN INCLUDED AND “LIVE.”


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D.E.Castle's Daily Business Advisory Wrap-Up.
Skim It. But DON'T MISS It.
This site is the Management Consultants' and Chief Reconstruction Officers' best all-industry guide to analyzing, diagnosing, devising a strategy, creating either an Action Plan or an Emergence Plan and overseeing and monitoring the successful implementation of either in order to ensure the client organization's optimal, sustainable profitability. These plans are always made scalable to accommodate the size and needs of the client, whether it is fast-growing young company with an aggressive and ambitious agenda, or whether it is an older, larger, well-established business which is experiencing problems or which is at a crucial decision making point in its evolution as an entity, and which requires sound advice (and often implementation oversight and assertive "hands-on" assistance in the form of a powerful third-party representative agent or a an expert in the art of negotiation as its appointed "point person") regarding its next steps. In the alternative, Douglas E. Castle is expert at helping fast-track, rapidly emerging companies to growth through acquisitions, mergers, licensing, branding and both domestic and international strategic joint ventures to access better, more efficient supply chain sourcing and to open up wider global markets to dramatically increase the scope of possible new revenue opportunities.


Venture Investors: Optimal Deal Structure

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Venture Investors have been investing more speculatively than necessary — not based upon their selected investee companies or projects — but in terms of their “all or nothing” deal structure, which usually is based upon the occurrence of an event (such as an acquisition, going public or some other exit) which provides capital recovery as well as gain, if any. While waiting for this event, the investor either doesn’t receive cash flow at all, or receives some debt service payments if the deal was structured as a loan of some sort, plus equity. Most important to note is that most investors are not truly looking at the investee’s fundamentals and inherent profitability as a free-standing entity. This not only affects the deals selected (i.e., flash versus fundamentals), but it puts the investor into an uncertain period of little or no income and limited liquidity.

I am proposing a less speculative and more liquid deal structure based upon the use of Revenue-Based Royalties as capital recovery devices (to reduce risk over time) and as a means of generating a stream of positive cash flow to the investor. And this cash flow, if sufficient, can be re-invested to maximize total portfolio return.

The method is simple. Regardless whatever the other particular details of the deal structure, add a net revenue-based royalty (as set forth in the illustration below). This approach can also have the effect of making many a less-than-glamorous early-stage enterprise look considerably more attractive. I believe it would make more money available to small businesses and middle-sized enterprises that are less than revolutionary in measuring their intellectual property or market capitalization potential.

Sample Investment Recovery Chart Template - Douglas E. Castle

This approach is much “cleaner” than profit-sharing in that it does not permit subjectivity or manipulation of the numbers. It’s simply elegant: The investor takes a look at the investee’s bank statement, multiplies the non-investment, non-loan, cleared deposits (ostensibly the proceeds from sales activity), multiplies that number by the applicable royalty percentage expressed as a decimal, and is paid appropriately.

Douglas E. Castle

 


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QUOTATIONS - Immortal Wisdom - WORDS - The Building Blocks Of Language - Linked Image - By Douglas E Castle














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This site is proudly affiliated with Global Edge International Consulting Associates, Inc. ["GEI”]
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Respond To Douglas E Castle
http://bit.ly/CASTLEDIRECT

Perspective Is Wisdom - Large
D.E.Castle's Daily Business Advisory Wrap-Up.
Skim It. But DON'T MISS It.
This site is the Management Consultants' and Chief Reconstruction Officers' best all-industry guide to analyzing, diagnosing, devising a strategy, creating either an Action Plan or an Emergence Plan and overseeing and monitoring the successful implementation of either in order to ensure the client organization's optimal, sustainable profitability. These plans are always made scalable to accommodate the size and needs of the client, whether it is fast-growing young company with an aggressive and ambitious agenda, or whether it is an older, larger, well-established business which is experiencing problems or which is at a crucial decision making point in its evolution as an entity, and which requires sound advice (and often implementation oversight and assertive "hands-on" assistance in the form of a powerful third-party representative agent or a an expert in the art of negotiation as its appointed "point person") regarding its next steps. In the alternative, Douglas E. Castle is expert at helping fast-track, rapidly emerging companies to growth through acquisitions, mergers, licensing, branding and both domestic and international strategic joint ventures to access better, more efficient supply chain sourcing and to open up wider global markets to dramatically increase the scope of possible new revenue opportunities.