Higher Dimensional Fair Option Pricing and Hedging Under Hara and Cara Utilities PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Higher Dimensional Fair Option Pricing and Hedging Under Hara and Cara Utilities PDF full book. Access full book title Higher Dimensional Fair Option Pricing and Hedging Under Hara and Cara Utilities by Srdjan D. Stojanovic. Download full books in PDF and EPUB format.
Author: Srdjan D. Stojanovic Publisher: ISBN: Category : Languages : en Pages : 32
Book Description
By means of the optimal portfolio approach, and in particular by finding what we call the quot;fundamental matrix of derivatives pricing and hedgingquot;, we have formulated a very compact, yet very general form of a Black-Scholes type pricing PDE, and of Black-Scholes type hedging, for any contract in complete or incomplete, multi-factor, multi-tradable, Itocirc;-SDE-setting, under HARA or CARA utility. Our approach to pricing is the one first introduced by Kallsen, called quot;neutral derivative pricingquot;, which assumes that the considered derivative is traded actively. Furthermore, we discuss the relationship between HARA and CARA option pricing theories, and provide an example of a model with stochastic interest rates (in an incomplete market) for which between HARA and CARA (quot;neutralquot;) pricing theories, only HARA theory is possible.
Author: Srdjan D. Stojanovic Publisher: ISBN: Category : Languages : en Pages : 32
Book Description
By means of the optimal portfolio approach, and in particular by finding what we call the quot;fundamental matrix of derivatives pricing and hedgingquot;, we have formulated a very compact, yet very general form of a Black-Scholes type pricing PDE, and of Black-Scholes type hedging, for any contract in complete or incomplete, multi-factor, multi-tradable, Itocirc;-SDE-setting, under HARA or CARA utility. Our approach to pricing is the one first introduced by Kallsen, called quot;neutral derivative pricingquot;, which assumes that the considered derivative is traded actively. Furthermore, we discuss the relationship between HARA and CARA option pricing theories, and provide an example of a model with stochastic interest rates (in an incomplete market) for which between HARA and CARA (quot;neutralquot;) pricing theories, only HARA theory is possible.
Author: Srdjan Stojanovic Publisher: Springer Science & Business Media ISBN: 0387714170 Category : Mathematics Languages : en Pages : 274
Book Description
This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors. It is about some of the latest developments in pricing, hedging, and investing in incomplete markets. With regard to pricing, two frameworks are fully elaborated: neutral and indifference pricing. With regard to hedging, the most conservative and relaxed hedging formulas are derived. With regard to investing, the neutral pricing methodology is also considered as a tool for connecting market asset prices with optimal positions in such assets. Srdjan D. Stojanovic is Professor in the Department of Mathematical Sciences at University of Cincinnati (USA) and Professor in the Center for Financial Engineering at Suzhou University (China).
Author: Claus Munk Publisher: Oxford University Press, USA ISBN: 0199585490 Category : Business & Economics Languages : en Pages : 598
Book Description
The book presents models for the pricing of financial assets such as stocks, bonds, and options. The models are formulated and analyzed using concepts and techniques from mathematics and probability theory. It presents important classic models and some recent 'state-of-the-art' models that outperform the classics.
Author: Ales Cerný Publisher: Princeton University Press ISBN: 1400831482 Category : Business & Economics Languages : en Pages : 414
Book Description
Originally published in 2003, Mathematical Techniques in Finance has become a standard textbook for master's-level finance courses containing a significant quantitative element while also being suitable for finance PhD students. This fully revised second edition continues to offer a carefully crafted blend of numerical applications and theoretical grounding in economics, finance, and mathematics, and provides plenty of opportunities for students to practice applied mathematics and cutting-edge finance. Ales Cerný mixes tools from calculus, linear algebra, probability theory, numerical mathematics, and programming to analyze in an accessible way some of the most intriguing problems in financial economics. The textbook is the perfect hands-on introduction to asset pricing, optimal portfolio selection, risk measurement, and investment evaluation. The new edition includes the most recent research in the area of incomplete markets and unhedgeable risks, adds a chapter on finite difference methods, and thoroughly updates all bibliographic references. Eighty figures, over seventy examples, twenty-five simple ready-to-run computer programs, and several spreadsheets enhance the learning experience. All computer codes have been rewritten using MATLAB and online supplementary materials have been completely updated. A standard textbook for graduate finance courses Introduction to asset pricing, portfolio selection, risk measurement, and investment evaluation Detailed examples and MATLAB codes integrated throughout the text Exercises and summaries of main points conclude each chapter
Author: Louis Eeckhoudt Publisher: Princeton University Press ISBN: 1400829216 Category : Business & Economics Languages : en Pages : 245
Book Description
An understanding of risk and how to deal with it is an essential part of modern economics. Whether liability litigation for pharmaceutical firms or an individual's having insufficient wealth to retire, risk is something that can be recognized, quantified, analyzed, treated--and incorporated into our decision-making processes. This book represents a concise summary of basic multiperiod decision-making under risk. Its detailed coverage of a broad range of topics is ideally suited for use in advanced undergraduate and introductory graduate courses either as a self-contained text, or the introductory chapters combined with a selection of later chapters can represent core reading in courses on macroeconomics, insurance, portfolio choice, or asset pricing. The authors start with the fundamentals of risk measurement and risk aversion. They then apply these concepts to insurance decisions and portfolio choice in a one-period model. After examining these decisions in their one-period setting, they devote most of the book to a multiperiod context, which adds the long-term perspective most risk management analyses require. Each chapter concludes with a discussion of the relevant literature and a set of problems. The book presents a thoroughly accessible introduction to risk, bridging the gap between the traditionally separate economics and finance literatures.
Author: Thorsten Hens Publisher: Springer Science & Business Media ISBN: 3540361480 Category : Business & Economics Languages : en Pages : 377
Book Description
Financial economics is a fascinating topic where ideas from economics, mathematics and, most recently, psychology are combined to understand financial markets. This book gives a concise introduction into this field and includes for the first time recent results from behavioral finance that help to understand many puzzles in traditional finance. The book is tailor made for master and PhD students and includes tests and exercises that enable the students to keep track of their progress. Parts of the book can also be used on a bachelor level. Researchers will find it particularly useful as a source for recent results in behavioral finance and decision theory.
Author: Joel Hasbrouck Publisher: Oxford University Press ISBN: 0198041306 Category : Business & Economics Languages : en Pages : 209
Book Description
The interactions that occur in securities markets are among the fastest, most information intensive, and most highly strategic of all economic phenomena. This book is about the institutions that have evolved to handle our trading needs, the economic forces that guide our strategies, and statistical methods of using and interpreting the vast amount of information that these markets produce. The book includes numerous exercises.
Author: Søren Asmussen Publisher: Springer Nature ISBN: 3030351769 Category : Mathematics Languages : en Pages : 505
Book Description
This textbook provides a broad overview of the present state of insurance mathematics and some related topics in risk management, financial mathematics and probability. Both non-life and life aspects are covered. The emphasis is on probability and modeling rather than statistics and practical implementation. Aimed at the graduate level, pointing in part to current research topics, it can potentially replace other textbooks on basic non-life insurance mathematics and advanced risk management methods in non-life insurance. Based on chapters selected according to the particular topics in mind, the book may serve as a source for introductory courses to insurance mathematics for non-specialists, advanced courses for actuarial students, or courses on probabilistic aspects of risk. It will also be useful for practitioners and students/researchers in related areas such as finance and statistics who wish to get an overview of the general area of mathematical modeling and analysis in insurance.
Author: Emilio Barucci Publisher: Springer ISBN: 1447173228 Category : Mathematics Languages : en Pages : 843
Book Description
This work, now in a thoroughly revised second edition, presents the economic foundations of financial markets theory from a mathematically rigorous standpoint and offers a self-contained critical discussion based on empirical results. It is the only textbook on the subject to include more than two hundred exercises, with detailed solutions to selected exercises. Financial Markets Theory covers classical asset pricing theory in great detail, including utility theory, equilibrium theory, portfolio selection, mean-variance portfolio theory, CAPM, CCAPM, APT, and the Modigliani-Miller theorem. Starting from an analysis of the empirical evidence on the theory, the authors provide a discussion of the relevant literature, pointing out the main advances in classical asset pricing theory and the new approaches designed to address asset pricing puzzles and open problems (e.g., behavioral finance). Later chapters in the book contain more advanced material, including on the role of information in financial markets, non-classical preferences, noise traders and market microstructure. This textbook is aimed at graduate students in mathematical finance and financial economics, but also serves as a useful reference for practitioners working in insurance, banking, investment funds and financial consultancy. Introducing necessary tools from microeconomic theory, this book is highly accessible and completely self-contained. Advance praise for the second edition: "Financial Markets Theory is comprehensive, rigorous, and yet highly accessible. With their second edition, Barucci and Fontana have set an even higher standard!"Darrell Duffie, Dean Witter Distinguished Professor of Finance, Graduate School of Business, Stanford University "This comprehensive book is a great self-contained source for studying most major theoretical aspects of financial economics. What makes the book particularly useful is that it provides a lot of intuition, detailed discussions of empirical implications, a very thorough survey of the related literature, and many completely solved exercises. The second edition covers more ground and provides many more proofs, and it will be a handy addition to the library of every student or researcher in the field."Jaksa Cvitanic, Richard N. Merkin Professor of Mathematical Finance, Caltech "The second edition of Financial Markets Theory by Barucci and Fontana is a superb achievement that knits together all aspects of modern finance theory, including financial markets microstructure, in a consistent and self-contained framework. Many exercises, together with their detailed solutions, make this book indispensable for serious students in finance."Michel Crouhy, Head of Research and Development, NATIXIS
Author: Hrishikesh (Rick) D. Vinod Publisher: John Wiley & Sons ISBN: 0471686514 Category : Business & Economics Languages : en Pages : 316
Book Description
A timely approach to downside risk and its role in stock market investments When dealing with the topic of risk analysis, most books on investments treat downside and upside risk equally. Preparing for the Worst takes an entirely novel approach by focusing on downside risk and explaining how to incorporate it into investment decisions. Highlighting this asymmetry of the stock market, the authors describe how existing theories miss the downside and follow with explanations of how it can be included. Various techniques for calculating downside risk are demonstrated. This book presents the latest ideas in the field from the ground up, making the discussion accessible to mathematicians and statisticians interested in applications in finance, as well as to finance professionals who may not have a mathematical background. An invaluable resource for anyone wishing to explore the critical issues of finance, portfolio management, and securities pricing, this book: Incorporates Value at Risk into the theoretical discussion Uses many examples to illustrate downside risk in U.S., international, and emerging market investments Addresses downside risk arising from fraud and corruption Includes step-by-step instructions on how to implement the methods introduced in this book Offers advice on how to avoid pitfalls in calculations and computer programming Provides software use information and tips
Author: Srdjan D. Stojanovic
Author: Srdjan D. Stojanovic
Author: Srdjan Stojanovic
Author: Claus Munk
Author: Ales Cerný
Author: Louis Eeckhoudt
Author: Thorsten Hens
Author: Joel Hasbrouck
Author: Søren Asmussen
Author: Emilio Barucci
Author: Hrishikesh (Rick) D. Vinod