March 29, 1900, is considered by many to be the day mathematical finance was born. On that day a French doctoral student, Louis Bachelier, successfully defended his thesis Théorie de la Spéculation at the Sorbonne. The jury, while noting that the topic was "far away from those usually considered by our candidates," appreciated its high degree of originality. This book provides a new translation, with commentary and background, of Bachelier's seminal work. Bachelier's thesis is a remarkable document on two counts. In mathematical terms Bachelier's achievement was to introduce many of the concepts of what is now known as stochastic analysis. His purpose, however, was to give a theory for the valuation of financial options. He came up with a formula that is both correct on its own terms and surprisingly close to the Nobel Prize-winning solution to the option pricing problem by Fischer Black, Myron Scholes, and Robert Merton in 1973, the first decisive advance since 1900. Aside from providing an accurate and accessible translation, this book traces the twin-track intellectual history of stochastic analysis and financial economics, starting with Bachelier in 1900 and ending in the 1980s when the theory of option pricing was substantially complete. The story is a curious one. The economic side of Bachelier's work was ignored until its rediscovery by financial economists more than fifty years later. The results were spectacular: within twenty-five years the whole theory was worked out, and a multibillion-dollar global industry of option trading had emerged.

A young scholar tells the story of the physicists and mathematicians who created the models that have become the basis of modern finance and argues that these models are the "solution" to--not the source of--our current economic woes.

Capital Ideas traces the origins of modern Wall Street, from the pioneering work of early scholars and the development of new theories in risk, valuation, and investment returns, to the actual implementation of these theories in the real world of investment management. Bernstein brings to life a variety of brilliant academics who have contributed to modern investment theory over the years: Louis Bachelier, Harry Markowitz, William Sharpe, Fischer Black, Myron Scholes, Robert Merton, Franco Modigliani, and Merton Miller. Filled with in-depth insights and timeless advice, Capital Ideas reveals how the unique contributions of these talented individuals profoundly changed the practice of investment management as we know it today.

The publication of Alexis de Tocqueville’s Democracy in America has kindled interest across disciplines to appraise the exceptional nature of U.S. activities. In general, however, all the published works have not focused their analyses from an economic point of view. While economics was for some a “dismal science” following Thomas Carlyle’s characterization of Malthus’ demographic model, it has increasingly become the “queen of the social sciences” for more practitioners. The book fills a gap in the literature by describing the American contributors as precursors and genuinely exceptional economists. We present their works within the state of the nation in which they advance their discipline. One is treated to both qualitative and quantitative theories in the opening chapter. Budding theories that became established theories of Economics and Finance are investigated in Chapters II and III. When President John Adams was confronted with M. Turgot’s criticisms of the American government, he resorted to a historic survey of types of government from ancient Greece to the Middle Ages. Similarly, we have included a final chapter, Chapter IV, to present the argument for American Exceptionalism in the domain of Political Economy and Economic Law over the ages.

John Walsh, one of the great masters of the subject, has written a superb book on probability. It covers at a leisurely pace all the important topics that students need to know, and provides excellent examples. I regret his book was not available when I taught such a course myself, a few years ago. —Ioannis Karatzas, Columbia University In this wonderful book, John Walsh presents a panoramic view of Probability Theory, starting from basic facts on mean, median and mode, continuing with an excellent account of Markov chains and martingales, and culminating with Brownian motion. Throughout, the author's personal style is apparent; he manages to combine rigor with an emphasis on the key ideas so the reader never loses sight of the forest by being surrounded by too many trees. As noted in the preface, “To teach a course with pleasure, one should learn at the same time.” Indeed, almost all instructors will learn something new from the book (e.g. the potential-theoretic proof of Skorokhod embedding) and at the same time, it is attractive and approachable for students. —Yuval Peres, Microsoft With many examples in each section that enhance the presentation, this book is a welcome addition to the collection of books that serve the needs of advanced undergraduate as well as first year graduate students. The pace is leisurely which makes it more attractive as a text. —Srinivasa Varadhan, Courant Institute, New York This book covers in a leisurely manner all the standard material that one would want in a full year probability course with a slant towards applications in financial analysis at the graduate or senior undergraduate honors level. It contains a fair amount of measure theory and real analysis built in but it introduces sigma-fields, measure theory, and expectation in an especially elementary and intuitive way. A large variety of examples and exercises in each chapter enrich the presentation in the text.

"The World Scientific Handbook of Futures Markets serves as a definitive source for comprehensive and accessible information in futures markets. The emphasis is on the unique characteristics of futures markets that make them worthy of a special volume. In our judgment, futures markets are currently undergoing remarkable changes as trading is shifting from open outcry to electronic and as the traditional functions of hedging and speculation are extended to include futures as an alternative investment vehicle in traditional portfolios. The unique feature of this volume is the selection of five classic papers that lay the foundations of the futures markets and the invitation to the leading academics who do work in the area to write critical surveys in a dozen important topics."--$cProvided by publisher.