A Mathematician Plays the Stock Market

Author: John Allen Paulos
List Price: $25.00
Our Price: Click to see the latest and low price
ISBN: 0465054803
Publisher: Basic Books (13 May, 2003)
Sales Rank: 8,683
Average Customer Rating: 3.44 out of 5

Customer Reviews

Rating: 5 out of 5
Excellent and realistic investment book.
This is an excellent book on investment theory. It reviews fundamental analysis, technical analysis, option theory and many other topics. The author explains exceptionally well the Efficient Market Hypothesis and the debate surrounding it. He also introduces basic concepts of behavioral finance.
Abstract.

As a mathematician having studied the stock market, he believes the stock market is pretty efficient; and that both technical analysis and fundamental analysis do not have much predictive value.

Technical analysis according to him should be renamed trend analysis, as it consists in graphing and extrapolating current stock price trends. He covers the major strategies technical analysts use such as buying stocks when their current price breaks through its moving average, and selling them when they fall under this same moving average.

He covers fundamental analysis and their associated metrics in good details. Reading this section, you will become familiar with all the usual metrics, including P/E, PEG, P/Book value, P/Sales.

Mr. Paulos makes a case that the stock market captures the aggregate of all our psychological foibles, and goes on giving a good introduction in behavioral finance. He illustrates the common psychological flaws associated with investor behavior, including: the confirmation bias, anchoring effect, status quo bias, endowment effect, and Richard Thaler's mental accounts. He also illustrates flaws we incur when doing investment research, such as: data mining back testing, and the survivor bias. But, in aggregate these human errors partly cancel themselves out rendering the stock market pretty efficient.

The book's gem is the debate on the Efficient Market Hypothesis (EMH). The fewer the investors believe in EMH, the more they will engage in technical and fundamental analysis to extract excess return above the index. These "active" investors will render the market increasingly efficient, and negate their opportunities to earn excess return. The opposite is also true. If investors believe in EMH, they will become "passive" and just buy the stock index through a Vanguard fund or an ETF. As a result, the market will not be so efficient, and the EMH will not hold up in such a situation. So if you believe in EMH, it is false. But, if you don't believe in it, it is valid.

Paulos argues that enough active investors do not believe in the EMH to render it valid. This argument is convincing when you think of the thousands of mutual funds, hedge funds, and private managers on Wall Street. Thus, there are plenty of professional active investors to render the market very efficient. But, Paulos does not deny that certain markets at certain times, temporarily ignored by Wall Street, may be less than efficient. Thus, for him the EMH debate is not just a true or false question, it is a matter of degree.

Active investors play a crucial role in making the market efficient. Paulos makes an interesting distinction between the technical analyst and fundamental analyst. He states that technical analysts are momentum investors. Thus, they cause market volatility to increase. When stock prices increase, these guys buy even more. When stock prices decrease, they sell. Thus, they accentuate the swings in stock movements. Notice that they break the rule of Buy Low Sell High. The fundamental analysts are really value investors or contrarians. They do just the opposite of the technical analysts, and cause stock price movements to moderate. Thus, the two types of analysts/investors play a different role. But, together their active analysis make the stock market very efficient. The EMH states that all information is disseminated and absorbed immediately within the investment community, and thus is fully reflected within stock prices. But, somebody has to process this information. And, that is what the technical and fundamental analysts do.

One of Paulos other big concept concerns the statistical distribution of stock price movements. According to the EMH, stock price movements are random. And, this is true as confirmed by the autocorrelation on any time series of stock prices that is typically very close to zero. If stock prices move randomly, they should assume a normal distribution. But, Paulos indicates it is not always the case. In other words, extreme events (stock crashes or booms) happen more frequently than in a normal distribution. He adds that at the tails, the price movement of stocks is better captured by the power laws. Check page 178 for a detailed explanation on power laws. This is fascinating, and it may represent an upgrade to the EMH that relies solely on the normal distribution.


Rating: 5 out of 5
Funny, self-effacing, and just a terrific read
Since Professor Paulos delights in paradoxes it is appropriate that a paradox lies at the heart of this very fine book. He does indeed play the stock market, but how well and using what kind of strategy? Ironically Paulos's personal tale is one of obsession and foolhardiness, of buying WCOM at 37 (yes, WCOM), of averaging down again and again and buying calls until in near final desperation our good professor finds himself contemplating with a kind of hopeless hope his WCOM calls at $20 as the stock trades at $1.13! (p. 197)

Interestingly enough, most of what mathematician Paulos writes about here is the psychology of the market and what he learned about himself psychologically as he rode the stallion down, down deep into the valley of despair. Yes, there is some interesting and instructive math included, but how refreshing it is to read a professional academic chronicle his experience while being up-front and personal about the emotional, random, and psychological traps that often guided his decisions. It takes a certain amount of confidence to write a book like this, and it helps a lot to be able to laugh at yourself.

My experience during the period beginning early in 2000 when the market began to tank was similar to Paulos's (which is one reason I found his account so riveting) except (thanking my lucky stars) I did NOT average down as he did, and I certainly did not buy calls. Instead gradually (too gradually of course) I began to take money out of the market. For those of you who lived through those days of shock and despair, Paulos's witty self-examination will be a pleasure to read.

On another level this is a book about market theory. Paulos does not believe in the Efficient Market Hypothesis (EMH), which states that prices in the market accurately reflect the value of the market and that any subsequent deviation (without new information) from those prices is a random walk. His argument (a very persuasive one) is that the market is a self-referential system that depends on how the players view the market. Paradoxically, if they believe in an efficient market they will NOT try to figure out ways to take advantage of anomalies and the market will be inefficient! Conversely, if the players believe that the market is inefficient, that there is some surplus value to be gained, they will indeed look for ways to take advantage of differentials and anomalies, and presto! the market becomes efficient.

Consequently, Paulos' theory is a refinement of the EMH. He sees the market as constantly existing in a dynamic state poised between maximum efficiency and something less than that. He sees the market as a complex system subject to the laws of complexity theory, and like the weather only more so, impossible to predict much in advance.

As for technical versus fundamental analysis, Paulos appropriately hedges. Yes, the trend is your friend, but (e.g.) the full blown Elliot wave theory is "murky" while the fundamentalists suffer from possibly cooked numbers and from the information already being factored into the stock's price. One gets the sense that Paulos is once bitten, twice shy! However, I think he has gotten this exactly right, namely that only a small edge can be had through a lot of work using both approaches.

There are some interesting mathematical paradoxes presented here and some scams. Those of you who have read Paulos's previous books (e.g., Innumeracy: Mathematical Illiteracy and its Consequences, 1988; A Mathematician Reads the Newspaper, 1995, etc.) know he has a gift for making the obtuse and opaque clear, or at least intelligible, and that he can be laugh out loud funny. I thought that he was even funnier here than usual, perhaps because there is a taint of gallows humor infused throughout. For example, in reference to his love affair with WCOM, Paulos writes, "Investing in it had originally seemed like a no-brainer. The realization that doing so had indeed been a no-brainer was glacially slow in arriving." (p. 199)

One paradox is the familiar "All Cretans are liars" upon which Paulos plays a few variations to demonstrate the self-referential aspect which is at the heart of the paradox. Included is this illumination: "The Prosecutor booms, 'You must answer Yes or No. Will your next word be No?'" (p. 187)

One scam is the familiar Ponzi scheme. Paulos thinks of a stock market bubble (as we experienced in the nineties) as a Ponzi scheme in which dot com buyers are hoping to sell to stupider dot com buyers, etc. In another context, Paulos notes perspicaciously, "Even ravaging of the environment may be seen as a kind of global Ponzi scheme, the early 'investors' doing well, later ones less well, until a catastrophe wipes out all gains." (p. 94)

I must warn the reader to beware of many atrocious puns. In one of the "worst," Paulos is explaining the emotional differences between risk adverse people and their opposite and how a stock's beta may be personalized. "A zero beta person would have to be unconscious, perhaps from ingesting too many beta-blockers." (p. 162)

Ouch!


Rating: 1 out of 5
I hate this book...
John Allen Paulos (the author) is obsessed with losing money on WorldCom (WCOM) and I find it quite annoying how many times he brings that fact up. However even with WCOM being mentioned on just about every page Paulos does try to remind us of a few investing rules.

1. Averaging up is good, unless you average up after the stock is very extended
2. Falling in love with a stock, Paulos acts like he is married to WCOM.
3. Don't catch a falling knife.
4. Buying a stock because it sounds cool isn't very smart.
5. "Strong buys" aren't as important as they sound.
6. Don't fight the market. WCOM is an excellent example.

One thing I like about this book is Paulos goes in great detail into how some stock newsletter scams work, which I found very interesting. Paulos has also included a movie idea (called a treatment for those of us that are interested in the movie business) for a sports betting newsletter scammer. I found that this movie treatment helps me remember about the stock newsletters scammers.

I found Paulos to be witty, which surprised me for a mathematician.

In closing A Mathematician Plays the Stock Market is a just "ok" book and if you happen to find it in the library you might want to peruse it for awhile, however I feel it is not worthy for our bookshelves.

However you may decide for yourself,

Reed Floren

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