Louis Bachelier Concepts

Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else

by Jordan Ellenberg · 14 May 2021 · 665pp · 159,350 words

RANDOM WALK TO THE BOURSE Ross and Pearson weren’t the only people thinking about random walks as the new century rolled in. In Paris, Louis Bachelier, a young man from Normandy, was working at the Bourse, the great stock exchange at the financial center of France. He began studying mathematics at

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of motivation to restore some order to a financial world that no longer fit into neat double-entry bookkeeping. Elliott surely didn’t know about Louis Bachelier’s work on stock prices as a random walk, but if he had, he wouldn’t have given it a minute. He didn’t want

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with Bernard Bru,” Finance and Stochastics 5, no. 1 (2001): 5, from which most of this account is drawn. Jean-Michel Courtault et al., in “Louis Bachelier on the Centenary of Theorie de la Speculation,” Mathematical Finance 10, no. 3 (July 2000): 341–53, says on p. 343 that Bachelier’s grades

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. Dreyfus was convicted: All material on Poincaré and the Dreyfus affair is from Gray, Henri Poincaré, 166–69. “[O]ne might fear”: Courtault et al., “Louis Bachelier on the Centenary of Théorie de la Spéculation,” 348. Bachelier did end up: The story of Bachelier is drawn from Taqqu, “Bachelier and His Times

The Rise of the Quants: Marschak, Sharpe, Black, Scholes and Merton

by Colin Read · 16 Jul 2012 · 206pp · 70,924 words

on the earlier foundational work of Jacob Marschak and a then obscure but brilliant French PhD student at the turn of the twentieth century named Louis Bachelier. In our future, we shall inevitably rely even more on the products of these great minds. We will now turn to how the concepts came

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not the first to offer a measure of the cost of volatility of financial instruments. At the turn of the twentieth century, the French mathematician Louis Bachelier (1870–1946) produced a PhD thesis with the title “The Theory of Speculation.” In this revolutionary thesis, Bachelier was the first to apply the mathematical

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, England. However, of more importance is the delay in our understanding of options by almost three-quarters of a century because the brilliant PhD candidate Louis Bachelier published his Sorbonne PhD in French and did not follow up his graduate work in a way that would popularize his feat in the English

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, Jacob Marschak, and Kenneth Arrow. However, all these economists who helped forge the foundation of modern finance began in either mathematics or physics, as has Louis Bachelier. Indeed, Merton too had followed this same tradition. Perhaps in tribute, Paul Samuelson once labeled him the Newton of modern finance. After physics and applied

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this subject of the efficient market that will be covered in the fourth volume of this series. 21 Applications A tradition had been started by Louis Bachelier in 1900 but had been lost from finance until Robert Merton resurrected it in the early 1970s. Merton recognized the importance of economic analyses over

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experience with Long Term Capital Management, he remains the consummate scholar and academic. It would not be unwarranted to regard Merton, along with his predecessor Louis Bachelier, as a father of continuous time finance. Part V What We Have Learned This book is the third in a series of discussions about the

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. Leonard, “Creating a Context for Game Theory,” History of Political Economy, 24 (Supplement) (1992), 29–76, at p. 39. 7. http://en.wikipedia.org/wiki/Louis_Bachelier, date accessed January 23, 2012. 8. Alfred Cowles and H. Jones, “Some A Posteriori Probabilities in Stock Market Action,” Econometrica, 5(3) (1937), 280–94

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. 9. Louis Bachelier, “Theorie de la speculation,” Annales scientifiques de l’Ecole Normale Superieure, 3rd series, 17 (1900), 21–86. 10. C.M. Sprenkle, “Warrant Prices as Indications

Against the Gods: The Remarkable Story of Risk

by Peter L. Bernstein · 23 Aug 1996 · 415pp · 125,089 words

grew up to be the leading French mathematician of his time. Nevertheless, Poincare made the great mistake of underestimating the accomplishments of a student named Louis Bachelier, who earned a degree in 1900 at the Sorbonne with a dissertation titled "The Theory of Speculation."6 Poincare, in his review of the thesis

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of vagueness. Knight's ideas are particularly relevant to financial markets, where all decisions reflect a forecast of the future and where surprise occurs regularly. Louis Bachelier long ago remarked, "Clearly the price considered most likely by the market is the true current price: if the market judged otherwise, it would quote

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own times than it may have seemed to theirs. The first effort to use mathematics rather than intuition in valuing an option was made by Louis Bachelier back in 1900. In the 1950s and 1960s, a few more people tried their hands at it, including Paul Samuelson. The puzzle was finally solved

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. Laplace, 1814, p. 1301. 2. Ibid., p. 1302. 3. Ibid., p. 1307. 4. Ibid., p. 1308. 5. Newman, 1988b, p. 1353. 6. The story about Louis Bachelier is recounted in more detail in Bernstein, 1992, pp. 19-20 7. Poincare in Newman, 1988a, p. 1359. 8. Ibid., pp. 1362-1363. 9. Ibid

The Fractalist

by Benoit Mandelbrot · 30 Oct 2012

have thrived without the benefit of a systematic mathematical model. The first such model was put forward in 1900 by an outsider in French mathematics, Louis Bachelier (1870–1946). It came out astonishingly early—well ahead of its time—and was odd indeed. It became the standard financial model, and was the

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be pushed out of the economic mainstream by a major step in academic economics: the 1972 revival by Black-Scholes-Merton of the formula of Louis Bachelier. Could I have both fought and outwaited them in a protected site? Unfortunately, the downside was big. From the viewpoint of the dream that ruled

Trillions: How a Band of Wall Street Renegades Invented the Index Fund and Changed Finance Forever

by Robin Wigglesworth · 11 Oct 2021 · 432pp · 106,612 words

, and often dubbed “Saint Jack” due to his exhortation for the investment industry to give more people a “fair shake” through cheap passive investment vehicles. LOUIS BACHELIER. An early-twentieth-century French mathematician who died in obscurity, but whose work on the “random walk” of stocks would make him the intellectual godfather

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through the university library in 1954 when he made a discovery: a book by a little-known turn-of-the-twentieth-century French mathematician named Louis Bachelier with ideas astonishingly far ahead of their time. Savage sent postcards lauding the work to some of his friends and asked if they had “ever

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1. Peter Bernstein, Capital Ideas: The Improbable Origins of Modern Wall Street (New York: Wiley, 1992), 23. 2. Bernstein, Capital Ideas, 23. 3. Mark Davis, “Louis Bachelier’s Theory of Speculation,” talk, Imperial College, https://f-origin.hypotheses.org/wp-content/blogs.dir/1596/files/2014/12/Mark-Davis-Talk.pdf. 4

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. L. Carraro and P. Crépel, “Louis Bachelier,” Encyclopedia of Math, www.encyclopediaofmath.org/images/f/f1/LouisBACHELIER.pdf. 5. Carraro and Crépel, “Louis Bachelier.” 6. Colin Read, The Efficient Market Hypothesists: Bachelier, Samuelson, Fama, Ross, Tobin, and Shiller (Basingstoke, UK: Palgrave

The Misbehavior of Markets: A Fractal View of Financial Turbulence

by Benoit Mandelbrot and Richard L. Hudson · 7 Mar 2006 · 364pp · 101,286 words

manageable. This is now orthodoxy to which I subscribe—up to a point. Work in this field began in 1900, when a youngish French mathematician, Louis Bachelier, had the temerity to study financial markets at a time “real” mathematicians did not touch money. In the very different world of the seventeenth century

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an artist; his pleasure is as great and of the same nature.” Before Poincaré on that day in 1900 was one of his doctoral students, Louis Bachelier.1 Jobs for Ph.D.’s were scarce; and so the award of a doctorate in France was a formal, trying process. The young mathematician

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portraying a few men of the twentieth century who stand out as especially influential, regardless of whether one agrees with them or not. They are Louis Bachelier, Harry Markowitz, William Sharpe, and the duo of Fischer Black and Myron Scholes. The first, hero of this chapter, was a maverick, a lone visionary

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.cftc.gov/tm/tmfcm.htm. Cootner, Paul H, ed. 1964. The Random Character of Stock Market Prices. Cambridge, MA.: MIT Press. Courtault, Jean-Michel. 2000. Louis Bachelier: On the centenary of Théorie de la Spéculation. Mathematical Finance 10 (3) July: 339-353. Courtault, Jean-Michel et al. 2000

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. Louis Bachelier: Fondateur de la finance mathématique. A Web site, sponsored by the Université de Franche-Comté, publishing primary manuscripts and photographs of Bachelier’s life and

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for stock market efficiency. Journal of Finance 48: 65-91. Jovanovic, Franck. 2000. L’origine de la théorie financière: une réévaluation de l’apport de Louis Bachelier. Revue d’Économie Politique 110 (3): 395-418. Jovanovic, Franck and Philippe Le Gall. 2001. Does God practice a random walk? The ‘financial physics’ of

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(4): 170-292. Sprott, Julien Clinton. 2003. Chaos and Time-Series Analysis. Oxford, UK: Oxford University Press. Sullivan, Edward J. and Timothy M. Weithers. 1991. Louis Bachelier: the father of modern option pricing theory. Journal of Economic Education 22 (2): 165-171. Summers, Lawrence H. 2000. International financial crises: causes, prevention, and

The Physics of Wall Street: A Brief History of Predicting the Unpredictable

by James Owen Weatherall · 2 Jan 2013 · 338pp · 106,936 words

a century. Imperial and imposing, it was the center of the city at the center of the world. Or so it would have seemed to Louis Bachelier as he approached it for the first time, in 1892. He was in his early twenties, an orphan from the provinces. He had just arrived

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Frenchman whom Samuelson was quite sure he had never heard of. Bachelor, Bacheler. Something like that. He looked at the front of the document again. Louis Bachelier. It didn’t ring any bells. Its author’s anonymity notwithstanding, the document open on Samuelson’s desk was astounding. Here, fifty-five years previously

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about it this way, Pascal decided the decision was an easy one. The downside of atheism was just too scary. Despite his fascination with chance, Louis Bachelier never had much luck in life. His work included seminal contributions to physics, finance, and mathematics, and yet he never made it past the fringes

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report (Buffett 2010). “Jim Simons’s Medallion Fund . . .”: The Medallion numbers are from Willoughby (2009). 1. Primordial Seeds “Or so it would have seemed to Louis Bachelier . . .”: The story told in this opening section takes some liberties, as certain details of Bachelier’s life are not well known. In particular, I am

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front of him . . .”: This would have been Bachelier’s dissertation (Bachelier 1900), which is presented in both French and English in Davis and Etheridge (2006). “Louis Bachelier. It didn’t ring any bells”: Samuelson told the story of his rediscovery of Bachelier’s work in numerous places, including his preface to Davis

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., and D. A. Greenwood. 2007. An Introduction to the Standard Model of Particle Physics. Cambridge: Cambridge University Press. Courtault, Jean-Michel, and Youri Kabanov. 2002. Louis Bachelier: Aux origines de la finance mathématique. Paris: Presses Universitaires Franc-Comtoises. Cox, John C., and Mark Rubinstein. 1985. Options Markets. Englewood Cliffs, NJ: Prentice Hall

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Press. David, F. N. 1962. Games, Gods & Gambling: A History of Probability and Statistical Ideas. New York: Simon & Schuster. Davis, Mark, and Alison Etheridge. 2006. Louis Bachelier’s Theory of Speculation: The Origins of Modern Finance. Princeton, NJ: Princeton University Press. Davis, Monte. 1984. “Benoît Mandelbrot.” Omni Magazine 6 (5): 64. Davy

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: Pascal, Fermat, and the Seventeenth-Century Letter That Made the World Modern. New York: Basic Books. Dimand, Robert W., and Hichem Ben-El-Mechaiekh. 2006. “Louis Bachelier.” In Pioneers of Financial Economics, vol. 1, ed. Geoffrey Poitras. Northampton, MA: Edward Elgar Publishing. Divisia, François. 1925. “L’Indice monétaire et la théorie de

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Army and the Atomic Bomb. Washington, DC: Government Printing Office. Jovanovic, Frank. 2000. “L’origine de la théorie financière: Une réévaluation de l’apport de Louis Bachelier.” Revue d’Économie Politique 110 (3): 395–418. — — — . 2006. “A Nineteenth-Century Random Walk: Jules Regnault and the Origins of Scientific Financial Economics.” In Pioneers

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Hedge Fund.” Bloomberg, January 10. Strogatz, Steven H. 1994. Nonlinear Dynamics and Chaos. Cambridge, MA: Perseus Books. Sullivan, Edward J., and Timothy M. Weithers. 1991. “Louis Bachelier: The Father of Modern Option Pricing Theory.” The Journal of Economic Education 22 (2): 165–71. Swan, Edward J. 2000. Building the Global Market: A

Capital Ideas: The Improbable Origins of Modern Wall Street

by Peter L. Bernstein · 19 Jun 2005 · 425pp · 122,223 words

formidable by any measure. The exploration into whether investors can successfully forecast stock prices has roots that reach all the way back to 1900, when Louis Bachelier, a young French mathematician, completed his dissertation for the degree of Doctor of Mathematical Sciences at the Sorbonne. The title of the dissertation was “The

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few people did. The researchers who carried out this research and the theorists who explained its findings built a powerful structure on the foundations that Louis Bachelier and Alfred Cowles had prepared for them. They include a famous columnist on Newsweek magazine, a college football star who majored in French and never

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significant, as Amsterdam was the most sophisticated and important financial center of the seventeenth century, even more important than London. And we have seen that Louis Bachelier, in the course of writing his thesis in Paris in 1900, was attracted to the problem of valuing options. Options are everywhere around us. The

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stock prices were predictable — an assertion that would fire controversy for decades to come; it met its first powerful theoretical challenge twenty years later from Louis Bachelier. Dow started his Wall Street career in 1879 writing news bulletins carried to subscribers by messenger boys and was the first editor of the Wall

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, he wrote: Among connoisseurs, Robert C. Merton is known as an expert among experts, a giant who stands on the shoulders of such giants as Louis Bachelier. . . . I am proud to have figured in the Mertonian march to fame. . . . One of the great pleasures of academic life is . . . the rare sight of

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of this history. Those contributions have had a profound impact on our understanding despite the controversies they triggered on their first appearance. Ninety years ago, Louis Bachelier’s work was brushed aside because his topic was “somewhat remote.” In 1952, Milton Friedman refused to accept Harry Markowitz’s thesis as “economics.” Only

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and innocent than the world of Wall Street. There are tears and sweat, but fortunes are neither won nor lost in the process. There is Louis Bachelier in 1900, holed up in the Sorbonne scratching out eternal verities about the behavior of speculative markets. Harry Markowitz stumbles upon a great truth while

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. 13–37. Loeb, Gerald M. 1935. The Battle for Investment Survival. New York: Simon & Schuster. Extract also in Ellis and Vertin (1989). Mandelbrot, Benoit. 1987. “Louis Bachelier.” The New Palgrave: A Dictionary of Economics. New York: Macmillan Publishing, Vol. 1, pp. 168–169. Markowitz, Harry M. 1952. “Portfolio Selection.” Journal of Finance

How Markets Fail: The Logic of Economic Calamities

by John Cassidy · 10 Nov 2009 · 545pp · 137,789 words

will no longer work, and the market will return to a state of being unfathomable. The first person to develop this type of logic was Louis Bachelier, a French mathematician who, way back in 1900, wrote a doctoral dissertation entitled “The Theory of Speculation.” Take an individual stock. At any moment in

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risk. Almost all of these methods relied, to some extent, on the Black-Scholes formula and the bell curve. Simply by invoking the ghost of Louis Bachelier, it was possible to take much of the danger out of finance. Or was it? As far back as the 1960s and ’70s, some academics

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at how much the portfolio has jumped around in the past, perhaps by calculating its standard deviation. The next step involves invoking the ghost of Louis Bachelier—this is where the illusion of predictability comes in—and assuming that daily movements in financial prices follow the bell curve, or normal distribution, which

The Myth of the Rational Market: A History of Risk, Reward, and Delusion on Wall Street

by Justin Fox · 29 May 2009 · 461pp · 128,421 words

later, though. Irving Fisher was ahead of his time. HE WAS NOT, HOWEVER, ALONE in his advanced thoughts about financial markets. In Paris, mathematics student Louis Bachelier studied the price fluctuations on the Paris Bourse (exchange) in a similar spirit. The result was a doctoral thesis that, when unearthed more than half

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game with clearly defined rules but in a messy, uncertain world. How was one to assign numerical probabilities to uncertain future events? The answer—as Louis Bachelier had concluded back in 1900—is that there is no one way. Everyone’s assessments of the future are of necessity personal and subjective. But

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scholars. He had come across a fascinating book in the library: Le jeu, la chance et le hasard (Games, Chance, and Risk), by somebody named Louis Bachelier. Had any of them, Savage wondered, heard of the guy or the book? Samuelson set to searching the libraries of Cambridge, Massachusetts, for the book

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different matter. The more volatile the stock’s movements, the more likely it is that an option on that stock will deliver a big payoff. Louis Bachelier had understood this back in 1900, and he used his mathematical depiction of random short-term security price movements to build an option-valuation formula

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prices with one’s buying or selling, and no market discontinuities—that is, markets were always open and prices only changed in small increments.23 Louis Bachelier had envisioned such a market, too, but he had been unwilling to look more than an “instant” into its future. Over any longer period, his

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a prominent value-oriented investment guru whose repeated warnings of a late-1920s stock market crash were dismissed by Wall Street (and by Irving Fisher). Louis Bachelier French mathematician whose 1900 dissertation, written under the supervision of the great scientist Henri Poincaré, established that short-term financial market movements should be random

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rationality for decades. Also coauthor of a seminal paper on expected utility with Milton Friedman, and rediscoverer of the work of French market theory pioneer Louis Bachelier. Myron Scholes Classmate and friend of Michael Jensen and Richard Roll at Chicago. Devised the Black-Scholes option pricing model along with Fischer Black while

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book, except as otherwise noted. 3. Henri Poincaré, The Value of Science: Essential Writings of Henri Poincaré (New York: The Modern Library, 2001), 402. 4. Louis Bachelier, “Theory of Speculation,” in The Random Character of Stock Prices, trans. A. James Boness, ed. Paul Cootner (Cambridge, Mass.: MIT Press, 1969), 28. 5. Bachelier

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Science, 419. 7. Bachelier, “Theory of Speculation,” 25–26. 8. This and all other biographical information on Bachelier is from Jean-Michel Courtault et al., “Louis Bachelier on the Centenary of Théorie de la Spéculation,” Mathematical Finance (July 2000): 341–53. Poincaré’s report on Bachelier’s thesis, translated by Selime Baftiri