Book picks similar to
Stochastic Calculus for Finance I: The Binomial Asset Pricing Model by Steven E. Shreve
finance
mathematics
quant
math
A Course in Game Theory
Martin J. Osborne - 1994
The authors provide precise definitions and full proofs of results, sacrificing generalities and limiting the scope of the material in order to do so. The text is organized in four parts: strategic games, extensive games with perfect information, extensive games with imperfect information, and coalitional games. It includes over 100 exercises. Solution ManualTable of Contents, Errata, and more...
Frequently Asked Questions in Quantitative Finance
Paul Wilmott - 2007
It is fascinating because of the speed at which the subject develops, the new products and the new models which we have to understand. And it is rewarding because anyone can make a fundamental breakthrough."Having worked in this field for many years, I have come to appreciate the importance of getting the right balance between mathematics and intuition. Too little maths and you won't be able to make much progress, too much maths and you'll be held back by technicalities. I imagine, but expect I will never know for certain, that getting the right level of maths is like having the right equipment to climb Mount Everest; too little and you won't make the first base camp, too much and you'll collapse in a heap before the top."Whenever I write about or teach this subject I also aim to get the right mix of theory and practice. Finance is not a hard science like physics, so you have to accept the limitations of the models. But nor is it a very soft science, so without those models you would be at a disadvantage compared with those better equipped. I believe this adds to the fascination of the subject."This FAQs book looks at some of the most important aspects of financial engineering, and considers them from both theoretical and practical points of view. I hope that you will see that finance is just as much fun in practice as in theory, and if you are reading this book to help you with your job interviews, good luck! Let me know how you get on!"
Principles of Statistics
M.G. Bulmer - 1979
There are equally many advanced textbooks which delve into the far reaches of statistical theory, while bypassing practical applications. But between these two approaches is an unfilled gap, in which theory and practice merge at an intermediate level. Professor M. G. Bulmer's Principles of Statistics, originally published in 1965, was created to fill that need. The new, corrected Dover edition of Principles of Statistics makes this invaluable mid-level text available once again for the classroom or for self-study.Principles of Statistics was created primarily for the student of natural sciences, the social scientist, the undergraduate mathematics student, or anyone familiar with the basics of mathematical language. It assumes no previous knowledge of statistics or probability; nor is extensive mathematical knowledge necessary beyond a familiarity with the fundamentals of differential and integral calculus. (The calculus is used primarily for ease of notation; skill in the techniques of integration is not necessary in order to understand the text.)Professor Bulmer devotes the first chapters to a concise, admirably clear description of basic terminology and fundamental statistical theory: abstract concepts of probability and their applications in dice games, Mendelian heredity, etc.; definitions and examples of discrete and continuous random variables; multivariate distributions and the descriptive tools used to delineate them; expected values; etc. The book then moves quickly to more advanced levels, as Professor Bulmer describes important distributions (binomial, Poisson, exponential, normal, etc.), tests of significance, statistical inference, point estimation, regression, and correlation. Dozens of exercises and problems appear at the end of various chapters, with answers provided at the back of the book. Also included are a number of statistical tables and selected references.
Super Crunchers: Why Thinking-By-Numbers Is the New Way to Be Smart
Ian Ayres - 2007
In this lively and groundbreaking new book, economist Ian Ayres shows how today's best and brightest organizations are analyzing massive databases at lightening speed to provide greater insights into human behavior. They are the Super Crunchers. From internet sites like Google and Amazon that know your tastes better than you do, to a physician's diagnosis and your child's education, to boardrooms and government agencies, this new breed of decision makers are calling the shots. And they are delivering staggeringly accurate results. How can a football coach evaluate a player without ever seeing him play? Want to know whether the price of an airline ticket will go up or down before you buy? How can a formula outpredict wine experts in determining the best vintages? Super crunchers have the answers. In this brave new world of equation versus expertise, Ayres shows us the benefits and risks, who loses and who wins, and how super crunching can be used to help, not manipulate us.Gone are the days of solely relying on intuition to make decisions. No businessperson, consumer, or student who wants to stay ahead of the curve should make another keystroke without reading Super Crunchers.
Options, Futures and Other Derivatives
John C. Hull
Changes in the fifth edition include: A new chapter on credit derivatives (Chapter 21). New! Business Snapshots highlight real-world situations and relevant issues. The first six chapters have been -reorganized to better meet the needs of students and .instructors. A new release of the Excel-based software, DerivaGem, is included with each text. A useful Solutions Manual/Study Guide, which includes the worked-out answers to the "Questions and Problems" sections of each chapter, can be purchased separately (ISBN: 0-13-144570-7).
A Mathematician Plays The Stock Market
John Allen Paulos - 2003
In A Mathematician Plays the Stock Market , best-selling author John Allen Paulos employs his trademark stories, vignettes, paradoxes, and puzzles to address every thinking reader's curiosity about the market -- Is it efficient? Is it random? Is there anything to technical analysis, fundamental analysis, and other supposedly time-tested methods of picking stocks? How can one quantify risk? What are the most common scams? Are there any approaches to investing that truly outperform the major indexes? But Paulos's tour through the irrational exuberance of market mathematics doesn't end there. An unrequited (and financially disastrous) love affair with WorldCom leads Paulos to question some cherished ideas of personal finance. He explains why "data mining" is a self-fulfilling belief, why "momentum investing" is nothing more than herd behavior with a lot of mathematical jargon added, why the ever-popular Elliot Wave Theory cannot be correct, and why you should take Warren Buffet's "fundamental analysis" with a grain of salt. Like Burton Malkiel's A Random Walk Down Wall Street , this clever and illuminating book is for anyone, investor or not, who follows the markets -- or knows someone who does.
Red-Blooded Risk: Quantitative Strategies for Embracing Risk
Aaron Brown - 2011
This is the secret that lets tiny quantitative edges create hedge fund billionaires, and defines the powerful modern global derivatives economy. The same practical techniques are still used today by risk-takers in finance as well as many other fields. "Red-Blooded Risk" examines this approach and offers valuable advice for the calculated risk-takers who need precise quantitative guidance that will help separate them from the rest of the pack. While most commentators say that the last financial crisis proved it's time to follow risk-minimizing techniques, they're wrong. The only way to succeed at anything is to manage true risk, which includes the chance of loss. "Red-Blooded Risk" presents specific, actionable strategies that will allow you to be a practical risk-taker in even the most dynamic markets.Contains a secret history of Wall Street, the parts all the other books leave outIncludes an intellectually rigorous narrative addressing what it takes to really make it in any risky activity, on or off Wall StreetAddresses essential issues ranging from the way you think about chance to economics, politics, finance, and lifeWritten by Aaron Brown, one of the most calculated and successful risk takers in the world of finance, who was an active participant in the creation of modern risk management and had a front-row seat to the last meltdownWritten in an engaging but rigorous style, with no equationsContains illustrations and graphic narrative by renowned manga artist Eric KimThere are people who disapprove of every risk before the fact, but never stop anyone from doing anything dangerous because they want to take credit for any success. The recent financial crisis has swelled their ranks, but in learning how to break free of these people, you'll discover how taking on the right risk can open the door to the most profitable opportunities.
Fortune's Formula: The Untold Story of the Scientific Betting System That Beat the Casinos and Wall Street
William Poundstone - 2006
One was mathematician Claude Shannon, neurotic father of our digital age, whose genius is ranked with Einstein's. The other was John L. Kelly Jr., a Texas-born, gun-toting physicist. Together they applied the science of information theory—the basis of computers and the Internet—to the problem of making as much money as possible, as fast as possible.Shannon and MIT mathematician Edward O. Thorp took the "Kelly formula" to Las Vegas. It worked. They realized that there was even more money to be made in the stock market. Thorp used the Kelly system with his phenomenonally successful hedge fund, Princeton-Newport Partners. Shannon became a successful investor, too, topping even Warren Buffett's rate of return. Fortune's Formula traces how the Kelly formula sparked controversy even as it made fortunes at racetracks, casinos, and trading desks. It reveals the dark side of this alluring scheme, which is founded on exploiting an insider's edge.Shannon believed it was possible for a smart investor to beat the market—and Fortune's Formula will convince you that he was right.
The Drunkard's Walk: How Randomness Rules Our Lives
Leonard Mlodinow - 2008
From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.
Evidence-Based Technical Analysis: Applying the Scientific Method and Statistical Inference to Trading Signals
David Aronson - 2006
Throughout the book, expert David Aronson provides you with comprehensive coverage of this new methodology, which is specifically designed for evaluating the performance of rules/signals that are discovered by data mining.
Inside the Black Box: The Simple Truth about Quantitative Trading
Rishi K. Narang - 2009
His explanation and classification of alpha will enlighten even a seasoned veteran." ?Blair Hull, Founder, Hull Trading & Matlock Trading"Rishi provides a comprehensive overview of quantitative investing that should prove useful both to those allocating money to quant strategies and those interested in becoming quants themselves. Rishi's experience as a well-respected quant fund of funds manager and his solid relationships with many practitioners provide ample useful material for his work." ?Peter Muller, Head of Process Driven Trading, Morgan Stanley"A very readable book bringing much needed insight into a subject matter that is not often covered. Provides a framework and guidance that should be valuable to both existing investors and those looking to invest in this area for the first time. Many quants should also benefit from reading this book." ?Steve Evans, Managing Director of Quantitative Trading, Tudor Investment Corporation"Without complex formulae, Narang, himself a leading practitioner, provides an insightful taxonomy of systematic trading strategies in liquid instruments and a framework for considering quantitative strategies within a portfolio. This guide enables an investor to cut through the hype and pretense of secrecy surrounding quantitative strategies." ?Ross Garon, Managing Director, Quantitative Strategies, S.A.C. Capital Advisors, L.P."Inside the Black Box is a comprehensive, yet easy read. Rishi Narang provides a simple framework for understanding quantitative money management and proves that it is not a black box but rather a glass box for those inside." ?Jean-Pierre Aguilar, former founder and CEO, Capital Fund Management"This book is great for anyone who wants to understand quant trading, without digging in to the equations. It explains the subject in intuitive, economic terms." ?Steven Drobny, founder, Drobny Global Asset Management, and author, Inside the House of Money"Rishi Narang does an excellent job demystifying how quants work, in an accessible and fun read. This book should occupy a key spot on anyone's bookshelf who is interested in understanding how this ever increasing part of the investment universe actually operates."?Matthew S. Rothman, PhD, Global Head of Quantitative Equity Strategies Barclays Capital"Inside the Black Box provides a comprehensive and intuitive introduction to "quant" strategies. It succinctly explains the building blocks of such strategies and how they fit together, while conveying the myriad possibilities and design details it takes to build a successful model driven investment strategy." ?Asriel Levin, PhD, Managing Member, Menta Capital, LLC
Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets
Nassim Nicholas Taleb - 2001
The other books in the series are The Black Swan, Antifragile,and The Bed of Procrustes.
Mathematical Analysis
Tom M. Apostol - 1957
It provides a transition from elementary calculus to advanced courses in real and complex function theory and introduces the reader to some of the abstract thinking that pervades modern analysis.
Systematic Trading: A unique new method for designing trading and investing systems
Robert Carver - 2015
This is a complete guide to developing your own systems to help you make and execute trading and investing decisions. It is intended for everyone who wishes to systematise their financial decision making, either completely or to some degree.Author Robert Carver draws on financial theory, his experience managing systematic hedge fund strategies and his own in-depth research to explain why systematic trading makes sense and demonstrates how it can be done safely and profitably. Every aspect, from creating trading rules to position sizing, is thoroughly explained. The framework described here can be used with all assets, including equities, bonds, forex and commodities.There is no magic formula that will guarantee success, but cutting out simple mistakes will improve your performance. You'll learn how to avoid common pitfalls such as over-complicating your strategy, being too optimistic about likely returns, taking excessive risks and trading too frequently.Important features include:- The theory behind systematic trading: why and when it works, and when it doesn't.- Simple and effective ways to design effective strategies.- A complete position management framework which can be adapted for your needs.- How fully systematic traders can create or adapt trading rules to forecast prices.- Making discretionary trading decisions within a systematic framework for position management.- Why traditional long only investors should use systems to ensure proper diversification, and avoid costly and unnecessary portfolio churn.- Adapting strategies depending on the cost of trading and how much capital is being used.- Practical examples from UK, US and international markets showing how the framework can be used.Systematic Trading is detailed, comprehensive and full of practical advice. It provides a unique new approach to system development and a must for anyone considering using systems to make some, or all, of their investment decisions.
Probability Theory: The Logic of Science
E.T. Jaynes - 1999
It discusses new results, along with applications of probability theory to a variety of problems. The book contains many exercises and is suitable for use as a textbook on graduate-level courses involving data analysis. Aimed at readers already familiar with applied mathematics at an advanced undergraduate level or higher, it is of interest to scientists concerned with inference from incomplete information.