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Economics/Weighted average

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Question
Dear Mr. Warren

I am here again to disturb you :)

I would be so grateful if you comment to my results. I followed your answer yesterday to find weighted average and just to show sample I am sending this result.

1988   1989   1990   1991   1992   1993
 4    2.7    2.3    2.1    4    2.8

This I found weighted average for the each year and demonstrate 6 years to you. My question is that For example in 1990 there is no article in second page. However the result of calculation shows 2.3 . It that could be like this or I have made a mistake?

I am sorry again for disturbance.

Thank you very much in advance,

Kindly,

Loona

Answer
You don't give me the distribution of the articles in 1990, but I'm confident that your calculation is correct, Loona. If there were 50 people of different ages in a room, the weighted average could easily have the first two digits be a weight that no one carried. Do not worry. You are on a good track here. . .with one exception!

The exception: please remember that, in an earlier reply to you, I said that you should ROUND the answer for each year to the nearest page number because, for instance, an article cannot begin on p. 2.3. It would have to begin on a "whole" page number. This is one of those cases where there's "no in-between."

Hope this is helpful. I will be traveling for the next five days, so please don't worry if I don't reply as promptly as I have. I WILL reply, usually at night in the U.S. Please be patient if you have more questions - I won't be ignoring you!

All the best--

Warren

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Warren D. Miller, CFA, CPA, ASA

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My expertise in economics is limited to three sub-disciplines: Austrian economics, industrial organization, and evolutionary economics. Questions dealing with macroeconomics and other sub-disciplines of the subject should be submitted to those who have the appropriate expertise. N.B.: I DO NOT ANSWER QUESTIONS MARKED 'PRIVATE' because I believe that knowledge should not be hoarded. I also believe that such questions are likely to come those trying to cheat. Also, as one who was a full-time academic for half a decade, I can recognize test/homework questions several time zones away. Do not demean yourself by submitting such questions to me. Those who do so are cheating; I WILL call you out publicly. I have a zero-tolerance policy for cheating and dishonesty. In addition, please don't emulate the businessman who posted a request for help in August 2008. He expressly denied that he was seeking "investment advice" and said that his query was for, and I quote, "educational and informational purposes." Later, he allowed as how his questions related to the possible purchase of a $500K piece of equipment. I said I thought he had misrepresented himself. Bottom line: high-end business consulting is how I make my living. I am the sole support for my family. Please respect that fact and don't try to get for free what our clients pay for. If your company is big enough to have a sophisticated problem, it can afford to pay for the expert advice we and others provide. Beckmill Research, LLC, is a 95-octane firm. We're small, but we've been at this for nearly 20 years. We know what we're doing. Segue: Early on, some asked me for career advice; I gave it. I now get many such requests. The demand for a valuable good that is free is unlimited, so I now charge for that advice. Email me: cfa2005@gmail.com. Finally, PLEASE DO NOT ASK FOR INVESTMENT ADVICE. I am not licensed to provide such advice. If you want such counsel, talk to your financial planner or other financial adviser.

Experience

I work with Austrian economics (which differs in major respects from the traditional economics), industrial organization (which is about industry structure, conduct, and performance), and evolutionary economics (almost, but not quite, the economic analog of its biological counterpart) every day in my work. I appraise closely-held businesses, provide exit-planning services, and offer high-level strategic analysis, advice, and solutions to CEOs and owners of mid-sized businesses. Understanding, applying, and writing about these disciplines is an essential part of how I have made my living since 1993.

Organizations
CFA Institute, Strategic Management Society, American Society of Appraisers, Academy of Management, Culver Legion, National Association of Scholars.

Publications
CFA Magazine, Strategic Finance, Valuation Strategies, Journal of Advanced Property Economics, Harvard Business Review, American Fly Fisher, CFA Digest, CPA Expert, Business Valuation Review, among others

Education/Credentials
Chartered Financial Analyst designation (2006); Accredited Senior Appraiser in Business Valuation (2006); Certified Public Accountant (1992); MBA - Oklahoma State University (1991); Completed all of my Ph.D. coursework in strategic management - Oklahoma State University (1983-87); BBA in finance and accounting - U. of Oklahoma (1975)

Awards and Honors
Business Valuation Volunteer of the Year (2001) - American Institute of CPAs; Winner - Oklahoma Humorous-Speaking Contest - Toastmasters International (1971)

Past/Present Clients
Names are confidential. However, the "sweet spot" of our target market is companies that are too big to be small and too small to be big. Usually, those are companies with employees in the 15-to-100 range. At the low end of that range is where companies can first take advantage of the specialization of labor. However, having everyone do everything is a tough habit for many--most, I would argue--small enterprises. That is why they not only remain small, but also fail to survive beyond a second generation. Only 5% (one in twenty) companies make it to the third generation of ownership.

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