Louis Bachelier's Theory of Speculation

The Origins of Modern Finance

Author: Louis Bachelier

Publisher: Princeton University Press

ISBN: 9781400829309

Category: Business & Economics

Page: 208

View: 6918


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.

The Efficient Market Hypothesists

Bachelier, Samuelson, Fama, Ross, Tobin and Shiller

Author: Colin Read

Publisher: Springer

ISBN: 1137292210

Category: Business & Economics

Page: 222

View: 319


Describes the lives, theories, and legacies of six great minds in finance who changed the way we look at financial markets and equilibrium. Bachelier, Samuelson, Fama, Ross, Tobin, and Shiller; proponents and critics of the market efficiency theories who redefined modern finance, creating the foundation on which all financial analysis rests.

Brownian Motion

An Introduction to Stochastic Processes

Author: René L. Schilling,Lothar Partzsch

Publisher: Walter de Gruyter GmbH & Co KG

ISBN: 311037398X

Category: Mathematics

Page: 424

View: 830


Brownian motion is one of the most important stochastic processes in continuous time and with continuous state space. Within the realm of stochastic processes, Brownian motion is at the intersection of Gaussian processes, martingales, Markov processes, diffusions and random fractals, and it has influenced the study of these topics. Its central position within mathematics is matched by numerous applications in science, engineering and mathematical finance. Often textbooks on probability theory cover, if at all, Brownian motion only briefly. On the other hand, there is a considerable gap to more specialized texts on Brownian motion which is not so easy to overcome for the novice. The authors’ aim was to write a book which can be used as an introduction to Brownian motion and stochastic calculus, and as a first course in continuous-time and continuous-state Markov processes. They also wanted to have a text which would be both a readily accessible mathematical back-up for contemporary applications (such as mathematical finance) and a foundation to get easy access to advanced monographs. This textbook, tailored to the needs of graduate and advanced undergraduate students, covers Brownian motion, starting from its elementary properties, certain distributional aspects, path properties, and leading to stochastic calculus based on Brownian motion. It also includes numerical recipes for the simulation of Brownian motion.

Mathematics of Derivative Securities

Author: Mathematical Finance Programme

Publisher: Cambridge University Press

ISBN: 9780521584241

Category: Business & Economics

Page: 582

View: 4915


During 1995 the Isaac Newton Institute for the Mathematical Sciences at Cambridge University hosted a six month research program on financial mathematics. During this period more than 300 scholars and financial practitioners attended to conduct research and to attend more than 150 research seminars. Many of the presented papers were on the subject of financial derivatives. The very best were selected to appear in this volume. They range from abstract financial theory to practical issues pertaining to the pricing and hedging of interest rate derivatives and exotic options in the market place. Hence this book will be of interest to both academic scholars and financial engineers.

Telegraph Processes and Option Pricing

Author: Alexander D. Kolesnik,Nikita Ratanov

Publisher: Springer Science & Business Media

ISBN: 3642405266

Category: Mathematics

Page: 128

View: 6833


The telegraph process is a useful mathematical model for describing the stochastic motion of a particle that moves with finite speed on the real line and alternates between two possible directions of motion at random time instants. That is why it can be considered as the finite-velocity counterpart of the classical Einstein-Smoluchowski's model of the Brownian motion in which the infinite speed of motion and the infinite intensity of the alternating directions are assumed. The book will be interesting to specialists in the area of diffusion processes with finite speed of propagation and in financial modelling. It will also be useful for students and postgraduates who are taking their first steps in these intriguing and attractive fields.

Modern Political Economics

Making Sense of the Post-2008 World

Author: Yanis Varoufakis,Joseph Halevi,Nicholas Theocarakis

Publisher: Routledge

ISBN: 1136814736

Category: Business & Economics

Page: 512

View: 4596


Once in a while the world astonishes itself. Anxious incredulity replaces intellectual torpor and a puzzled public strains its antennae in every possible direction, desperately seeking explanations for the causes and nature of what just hit it. 2008 was such a moment. Not only did the financial system collapse, and send the real economy into a tailspin, but it also revealed the great gulf separating economics from a very real capitalism. Modern Political Economics has a single aim: To help readers make sense of how 2008 came about and what the post-2008 world has in store. The book is divided into two parts. The first part delves into every major economic theory, from Aristotle to the present, with a determination to discover clues of what went wrong in 2008. The main finding is that all economic theory is inherently flawed. Any system of ideas whose purpose is to describe capitalism in mathematical or engineering terms leads to inevitable logical inconsistency; an inherent error that stands between us and a decent grasp of capitalist reality. The only scientific truth about capitalism is its radical indeterminacy, a condition which makes it impossible to use science's tools (e.g. calculus and statistics) to second-guess it. The second part casts an attentive eye on the post-war era; on the breeding ground of the Crash of 2008. It distinguishes between two major post-war phases: The Global Plan (1947-1971) and the Global Minotaur (1971-2008). This dynamic new book delves into every major economic theory and maps out meticulously the trajectory that global capitalism followed from post-war almost centrally planned stability, to designed disintegration in the 1970s, to an intentional magnification of unsustainable imbalances in the 1980s and, finally, to the most spectacular privatisation of money in the 1990s and beyond. Modern Political Economics is essential reading for Economics students and anyone seeking a better understanding of the 2008 economic crash.

Fuzzy Portfolio Optimization

Theory and Methods

Author: Yong Fang,Kin Keung Lai,Shouyang Wang

Publisher: Springer Science & Business Media

ISBN: 3540779264

Category: Business & Economics

Page: 176

View: 4758


Most of the existing portfolio selection models are based on the probability theory. Though they often deal with the uncertainty via probabilistic - proaches, we have to mention that the probabilistic approaches only partly capture the reality. Some other techniques have also been applied to handle the uncertainty of the ?nancial markets, for instance, the fuzzy set theory [Zadeh (1965)]. In reality, many events with fuzziness are characterized by probabilistic approaches, although they are not random events. The fuzzy set theory has been widely used to solve many practical problems, including ?nancial risk management. By using fuzzy mathematical approaches, quan- tative analysis, qualitative analysis, the experts’ knowledge and the investors’ subjective opinions can be better integrated into a portfolio selection model. The contents of this book mainly comprise of the authors’ research results for fuzzy portfolio selection problems in recent years. In addition, in the book, the authors will also introduce some other important progress in the ?eld of fuzzy portfolio optimization. Some fundamental issues and problems of po- folioselectionhavebeenstudiedsystematicallyandextensivelybytheauthors to apply fuzzy systems theory and optimization methods. A new framework for investment analysis is presented in this book. A series of portfolio sel- tion models are given and some of them might be more e?cient for practical applications. Some application examples are given to illustrate these models by using real data from the Chinese securities markets.

Financial Derivatives

Author: Bishnupriya Mishra,Sathya Swaroop Debasish

Publisher: Excel Books India

ISBN: 9788174465726

Category: Finance

Page: 246

View: 7029


In the recent decade, financial markets have been marked by excessive volatility and are associated with various risks. Derivatives are the instruments for managing risks. Derivatives are financial contracts whose value/price is dependent on the behavior of the price of one or more basic underlying assets which may be commodity or financial asset. In recent years, derivatives have become increasingly important in the field of finance. The book discusses at large the meaning, basic understanding, pricing and trading strategies of the financial derivatives. Common derivatives include options, forward contracts, futures contracts, and swaps. While futures and options are now actively traded on many exchanges, forward contracts are popular on the OTC market. This book provides a broad-based introduction to the technical aspects of the main classes of derivatives, the markets in which they are traded and the underlying concepts. This book is a comprehensive, industry-independent exploration of financial derivatives which offers an insightful look inside financial derivatives that is sweeping corporate world, banks, and investment finance. From reviewing the basic building blocks of financial derivatives to systematically examining the myriad of processes involved in creating innovative financial instruments, this lucid text provides professional advice to the learners. This book is intended as a text for MBA students specializing in the area of Finance, students of CA/ICWA, students of M.Com, academicians, researchers, practitioners and investors in general.