Download or read book Probabilities and Values of Early Exercise written by James N. Bodurtha and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This article analyzes fundamental differences between American spot and futures options. These options differ in their early exercise probabilities and values, and in option buyers' exercise behavior. We find two key results: one theoretical and one empirical. First, unlike spot options, some futures options' early exercise probabilities and values do not correspond. Specifically, increased volatility raises the early exercise premium for in-the-money futures calls, but lowers the associated early exercise probability. Similarly, increasing the domestic interest rate raises the futures put early exercise premium, while lowering the associated early exercise probability. Second, observed early exercise experience of Philadelphia Stock Exchange spot options and Chicago Mercantile Exchange futures options is consistent with optimal early exercise behavior prescribed by a standard American option pricing model. Both types of option exercise events occur at or near the modeled early exercise boundaries.
Download or read book The Probability of Early Exercise written by James N. Bodurtha and published by . This book was released on 1992 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Early Exercise of Foreign Currency Options written by Frank J. Fabozzi and published by . This book was released on 2013 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt: Roll [JFE 1977] demonstrates that the probability of early exercise of equity call options is low for small dividend payouts. Geske and Shastri [JBF 1985] show that unless dividends are small, put equity options would not be exercised early. Subsequently, Shastri and Tandon [JFM 1986] argue that the probability of early exercise of foreign currency options is small since foreign interest rates are analogous to a continuous dividend payout. Based on this observation, they conclude that a European model is well-suited for pricing American foreign currency options, unless the foreign interest rate is unusually high/low for call/put options. This conclusion is supported by the observation that pricing errors of a European option model are insignificant. Our study compares the Barone-Adesi-Whaley [BA-W; JF 1987] American option-pricing model with the Garman-Kohihagen [JIMF 1983] and Grabbe [JIMF 1983] European model and tests the conditions under which foreign exchange options convey opportunities to profit from premature exercise. Our results demonstrate the following. (1) The BA-W model is only advantageous in pricing out-of-the-money, long-term options. (2) The probability of gainful early exercise of puts is more sensitive than that of calls to the interest rate differential, time to maturity, and volatility. (3) The critical spot rate in the BA-W model is based on the probability of gainful early exercise on a given date, not after that date. Based on this criterion, we find a large number of opportunities for early exercise among in-the-money options maturing in less than 45 days.
Download or read book Quantitative Analysis in Financial Markets written by Marco Avellaneda and published by World Scientific. This book was released on 1999 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: This invaluable book contains lectures delivered at the celebrated Seminar in Mathematical Finance at the Courant Institute. The lectures and presenters of papers are prominent researchers and practitioners in the field of quantitative financial modeling. Most are faculty members at leading universities or Wall Street practitioners. The lectures deal with the emerging science of pricing and hedging derivative securities and, more generally, managing financial risk. Specific articles concern topics such as option theory, dynamic hedging, interest-rate modeling, portfolio theory, price forecasting using statistical methods, etc.
Download or read book Financial Risk Manager Handbook written by Philippe Jorion and published by John Wiley & Sons. This book was released on 2007-06-15 with total page 738 pages. Available in PDF, EPUB and Kindle. Book excerpt: An essential guide to financial risk management and the only way to get a great overview of the subjects covered in the GARP FRM Exam The Financial Risk Management Exam (FRM Exam) is given by the Global Association of Risk Professionals (GARP) annually in November for risk professionals who want to earn FRM(r) certification. The Financial Risk Manager Handbook, Fourth Edition is the definitive guide for those preparing to take the FRM Exam as well as a valued working reference for risk professionals. Written with the full support of GARP, and containing questions and solutions from previous exams, this book is a valuable resource for professionals responsible for or associated with financial risk management.
Download or read book One Thousand Exercises in Probability written by Geoffrey Grimmett and published by Oxford University Press. This book was released on 2001-05-24 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This guide provides a wide-ranging selection of illuminating, informative and entertaining problems, together with their solution. Topics include modelling and many applications of probability theory.
Download or read book Probability Theory and Applications written by Elton P. Hsu and published by American Mathematical Soc.. This book was released on 1999 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, with contributions by leading experts in the field, is a collection of lecture notes of the six minicourses given at the IAS/Park City Summer Mathematics Institute. It introduces advanced graduates and researchers in probability theory to several of the currently active research areas in the field. Each course is self-contained with references and contains basic materials and recent results. Topics include interacting particle systems, percolation theory, analysis on path and loop spaces, and mathematical finance. The volume gives a balanced overview of the current status of probability theory. An extensive bibliography for further study and research is included. This unique collection presents several important areas of current research and a valuable survey reflecting the diversity of the field.
Download or read book Mathematical Finance Theory Review and Exercises written by Emanuela Rosazza Gianin and published by Springer Science & Business Media. This book was released on 2014-02-10 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book collects over 120 exercises on different subjects of Mathematical Finance, including Option Pricing, Risk Theory, and Interest Rate Models. Many of the exercises are solved, while others are only proposed. Every chapter contains an introductory section illustrating the main theoretical results necessary to solve the exercises. The book is intended as an exercise textbook to accompany graduate courses in mathematical finance offered at many universities as part of degree programs in Applied and Industrial Mathematics, Mathematical Engineering, and Quantitative Finance.
Download or read book Introduction to Probability written by Joseph K. Blitzstein and published by CRC Press. This book was released on 2014-07-24 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed from celebrated Harvard statistics lectures, Introduction to Probability provides essential language and tools for understanding statistics, randomness, and uncertainty. The book explores a wide variety of applications and examples, ranging from coincidences and paradoxes to Google PageRank and Markov chain Monte Carlo (MCMC). Additional application areas explored include genetics, medicine, computer science, and information theory. The print book version includes a code that provides free access to an eBook version. The authors present the material in an accessible style and motivate concepts using real-world examples. Throughout, they use stories to uncover connections between the fundamental distributions in statistics and conditioning to reduce complicated problems to manageable pieces. The book includes many intuitive explanations, diagrams, and practice problems. Each chapter ends with a section showing how to perform relevant simulations and calculations in R, a free statistical software environment.
Download or read book Problems and Solutions in Mathematical Finance Volume 2 written by Eric Chin and published by John Wiley & Sons. This book was released on 2017-01-04 with total page 1042 pages. Available in PDF, EPUB and Kindle. Book excerpt: Detailed guidance on the mathematics behind equity derivatives Problems and Solutions in Mathematical Finance Volume II is an innovative reference for quantitative practitioners and students, providing guidance through a range of mathematical problems encountered in the finance industry. This volume focuses solely on equity derivatives problems, beginning with basic problems in derivatives securities before moving on to more advanced applications, including the construction of volatility surfaces to price exotic options. By providing a methodology for solving theoretical and practical problems, whilst explaining the limitations of financial models, this book helps readers to develop the skills they need to advance their careers. The text covers a wide range of derivatives pricing, such as European, American, Asian, Barrier and other exotic options. Extensive appendices provide a summary of important formulae from calculus, theory of probability, and differential equations, for the convenience of readers. As Volume II of the four-volume Problems and Solutions in Mathematical Finance series, this book provides clear explanation of the mathematics behind equity derivatives, in order to help readers gain a deeper understanding of their mechanics and a firmer grasp of the calculations. Review the fundamentals of equity derivatives Work through problems from basic securities to advanced exotics pricing Examine numerical methods and detailed derivations of closed-form solutions Utilise formulae for probability, differential equations, and more Mathematical finance relies on mathematical models, numerical methods, computational algorithms and simulations to make trading, hedging, and investment decisions. For the practitioners and graduate students of quantitative finance, Problems and Solutions in Mathematical Finance Volume II provides essential guidance principally towards the subject of equity derivatives.
Download or read book Essays in Derivatives written by Don M. Chance and published by John Wiley & Sons. This book was released on 2011-07-05 with total page 403 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the updated second edition of Don Chance’s well-received Essays in Derivatives, the author once again keeps derivatives simple enough for the beginner, but offers enough in-depth information to satisfy even the most experienced investor. This book provides up-to-date and detailed coverage of various financial products related to derivatives and contains completely new chapters covering subjects that include why derivatives are used, forward and futures pricing, operational risk, and best practices.
Download or read book The Handbook of Convertible Bonds written by Jan De Spiegeleer and published by John Wiley & Sons. This book was released on 2011-07-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a complete guide to the pricing and risk management of convertible bond portfolios. Convertible bonds can be complex because they have both equity and debt like features and new market entrants will usually find that they have either a knowledge of fixed income mathematics or of equity derivatives and therefore have no idea how to incorporate credit and equity together into their existing pricing tools. Part I of the book covers the impact that the 2008 credit crunch has had on the markets, it then shows how to build up a convertible bond and introduces the reader to the traditional convertible vocabulary of yield to put, premium, conversion ratio, delta, gamma, vega and parity. The market of stock borrowing and lending will also be covered in detail. Using an intuitive approach based on the Jensen inequality, the authors will also show the advantages of using a hybrid to add value - pre 2008, many investors labelled convertible bonds as 'investing with no downside', there are of course plenty of 2008 examples to prove that they were wrong. The authors then go onto give a complete explanation of the different features that can be embedded in convertible bond. Part II shows readers how to price convertibles. It covers the different parameters used in valuation models: credit spreads, volatility, interest rates and borrow fees and Maturity. Part III covers investment strategies for equity, fixed income and hedge fund investors and includes dynamic hedging and convertible arbitrage. Part IV explains the all important risk management part of the process in detail. This is a highly practical book, all products priced are real world examples and numerical examples are not limited to hypothetical convertibles. It is a must read for anyone wanting to safely get into this highly liquid, high return market.
Download or read book Martingale Methods in Financial Modelling written by Marek Musiela and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 721 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of a successful, well-established book that provides the reader with a text focused on practical rather than theoretical aspects of financial modelling Includes a new chapter devoted to volatility risk The theme of stochastic volatility reappears systematically and has been revised fundamentally, presenting a much more detailed analyses of interest-rate models
Download or read book Fixed Income Markets written by Moorad Choudhry and published by John Wiley & Sons. This book was released on 2011-12-14 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive and in-depth account of the global debt capital markets. It covers a wide range of instruments and their applications, including derivative instruments. Highlights of the book include: Detailed description of the main products in use in the fixed income markets today, including analysis and valuation Summary of market conventions and trading practices Extensive coverage of associated derivatives including futures, swaps, options and credit derivatives Writing style aimed at a worldwide target audience An overview of trading and investment strategy. The contents will be invaluable reading for anyone with an interest in debt capital markets, especially investors, traders, bond salespersons, risk managers and banking consultants.
Download or read book Trading in the Global Currency Markets written by Cornelius Luca and published by Penguin. This book was released on 2007 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: An expert in the field of international investment furnishes an updated guide to the lucrative but complex world of foreign currency exchange markets for investors of all levels that covers such topics as different types of currency, market forces, emerging technologies, and more.
Download or read book Trading in the Global Currency Markets 3rd Edition written by Cornelius Luca and published by Penguin. This book was released on 2007-08-07 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Completely updated third edition-insights into the lucrative foreign exchange markets for both beginner and expert traders. A renowned authority on international investing brings the complex machinations of the foreign currency markets vibrantly to life. Cornelius Luca clearly and concisely analyzes the various currencies, market forces, and emerging technologies-and illuminates them all with real-world examples and graphics.
Download or read book Foundations of the Pricing of Financial Derivatives written by Robert E. Brooks and published by John Wiley & Sons. This book was released on 2024-01-25 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and mathematically rigorous resource for masters and PhD students In Foundations of the Pricing of Financial Derivatives: Theory and Analysis two expert finance academics with professional experience deliver a practical new text for doctoral and masters’ students and also new practitioners. The book draws on the authors extensive combined experience teaching, researching, and consulting on this topic and strikes an effective balance between fine-grained quantitative detail and high-level theoretical explanations. The authors fill the gap left by books directed at masters’-level students that often lack mathematical rigor. Further, books aimed at mathematically trained graduate students often lack quantitative explanations and critical foundational materials. Thus, this book provides the technical background required to understand the more advanced mathematics used in this discipline, in class, in research, and in practice. Readers will also find: Tables, figures, line drawings, practice problems (with a solutions manual), references, and a glossary of commonly used specialist terms Review of material in calculus, probability theory, and asset pricing Coverage of both arithmetic and geometric Brownian motion Extensive treatment of the mathematical and economic foundations of the binomial and Black-Scholes-Merton models that explains their use and derivation, deepening readers’ understanding of these essential models Deep discussion of essential concepts, like arbitrage, that broaden students’ understanding of the basis for derivative pricing Coverage of pricing of forwards, futures, and swaps, including arbitrage-free term structures and interest rate derivatives An effective and hands-on text for masters’-level and PhD students and beginning practitioners with an interest in financial derivatives pricing, Foundations of the Pricing of Financial Derivatives is an intuitive and accessible resource that properly balances math, theory, and practical applications to help students develop a healthy command of a difficult subject.
