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[...]... come in a penny or two above AMathematicianPlaystheStockMarket 21 the analysts' average estimate than a penny or two below it If earnings were figured without regard to analysts' expectations, they'd come in below the average estimate as often as above it The reason for the asymmetry is probably that companies sometimes "back in" to their earnings Instead of determining revenues and expenses and subtracting... critical faculties A MathematicianPlays the StockMarket 15 Emotional Overreactions and Homo Economicus Investors can become (to borrow a phrase Alan Greenspan and Robert Shiller made famous) irrationally exuberant, or, changing the arithmetical sign, irrationally despairing Some of the biggest daily point gains and declines in Nasdaq's history occurred in a single month in early 2000, and the pattern... from the far side of the forest Her honesty is acknowledged by all and her word is taken as truth She warns the assembled villagers that there is at least one philandering husband AMathematicianPlays the StockMarket 11 among them Once this fact, already known to everyone, becomes common knowledge, what happens? The answer is that the matriarch's warning will be followed by nineteen peaceful days and... well as a number of problems, paradoxes, and puzzles, some old, some new, that encapsulate issues associated with themarket Is it efficient? Random? Is there anything to technical analysis, fundamental analysis? How can one quantify risk? What is the role of cognitive illusion? Of common knowledge? What are the most common scams? What are AMathematicianPlays the StockMarket 5 options, portfolio theory,... little game), seemed to have developed little camaraderie Without AMathematicianPlays the StockMarket 9 any collusion that I could discern, the students had to anticipate other students' anticipations of their anticipations in a convoluted and very skittish self-referential tangle Dizzying I've since learned that W Brian Arthur, an economist at the Santa Fe Institute and Stanford University, has long... emotions and psychology are imponderable factors in themarket' s jumpy variability Just as beauty and academic quality don't change as rapidly as ad hoc lists and magazine rankings do, so, it seems, the fundamentals of companies don't change as quickly as our mercurial reactions to news about them do It may be useful to imagine themarket as a fine race car whose exquisitely sensitive steering wheel makes... I was nevertheless falling disastrously in love Although my particular heartthrob was WCOM, almost all of what I will say about my experience is unfortunately applicable to many other stocks and many other investors Wherever WCOM appears, you may wish to substitute the symbols AMathematicianPlays the StockMarket 3 for Lucent, Tyco, Intel, Yahoo, AOL-Time Warner, Global Crossing, Enron, Adelphia,... perhaps, the generic symbols WOE or BANE The time frame of the book—in the midst of amarket collapse after a heady, nearly decade-long surge— may also appear rather more specific and constraining than it is Almost all the points made herein are rather general or can be generalized with a little common sense Falling in Love with WorldCom John Maynard Keynes, arguably the greatest economist of the twentieth... and the gap between the warning and the killings with the delay between announcement of an investigation and big sell-offs, you can understand how this parable of common knowledge applies to themarket Note that in order to change the logical status of a bit of information from mutually known to commonly known, there must be an independent arbiter In the parable it was the matriarch; in themarket analogue... understanding of the mathematics underlying themarket Lest you dread a cloyingly personal account of how I lost my shirt (or at least had my sleeves shortened), I should stress that my primary purpose here is to lay out, elucidate, and explore the basic conceptual mathematics of themarket I'll examine—largely via vignettes and stories rather than formulas and equations—various approaches to investing as . class="bi x0 y0 w0 h0" alt="" A Mathematician Plays the Stock Market Also by John Allen Paulos Mathematics and Humor (1980) I Think Therefore I Laugh (1985) Innumeracy: Mathematical. husband A Mathematician Plays the Stock Market 11 among them. Once this fact, already known to everyone, be- comes common knowledge, what happens? The answer is that the matriarch's. unfortunately appli- cable to many other stocks and many other investors. Wher- ever WCOM appears, you may wish to substitute the symbols A Mathematician Plays the Stock Market