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Author : Michael Magill
Publisher : MIT Press
ISBN 13 : 9780262632546
Total Pages : 566 pages
Book Rating : 4.6/5 (325 download)
Download or read book Theory of Incomplete Markets written by Michael Magill and published by MIT Press. This book was released on 2002 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of incompl. markets/M. Magill, M. Quinzii. - V.1.
Author : Aleš Černý
Publisher :
ISBN 13 : 9788122417159
Total Pages : 0 pages
Book Rating : 4.4/5 (171 download)
Download or read book Mathematical Techniques In Finance written by Aleš Černý and published by . This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Finance Overlaps With Many Fields Of Mathematics, And For Students This Can Represent Considerable Strain. Mathematical Techniques In Finance Is An Ideal Textbook For Masters Finance Courses With A Significant Quantitative Element While Also Being Suitable For Finance Ph.D. Students. Developed For The Highly Acclaimed Master Of Science In Finance Program At Imperial College London, It Offers A Carefully Crafted Blend Of Numerical Applications And Theoretical Grounding In Economics, Finance, And Mathematics.In The Best Engineering Tradition, Ale 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. Eighty Figures, Over 70 Worked Examples, 25 Simple Ready-To-Run Computer Programs, And Several Spreadsheets Further Enhance The Learning Experience. Each Chapter Is Followed By A Number Of Classroom-Tested Exercises With Solutions Available On The Book'S Web Site.Applied Mathematics Is A Craft That Requires Practice This Textbook Provides Plenty Of Opportunities To Practice It And Teaches Cutting-Edge Finance Into The Bargain. Asset Pricing Is A Common Theme Throughout The Book; And Readers Can Follow The Development From Discrete One-Period Models To Continuous Time Stochastic Processes. This Textbook Sets Itself Apart By The Comprehensive Treatment Of Pricing And Risk Measurement In Incomplete Markets, An Area Of Current Research That Represents The Future In Risk Management And Investment Performance Evaluation.This Special Low-Priced Edition Is For Sale In India, Bangladesh, Bhutan, Maldives, Nepal, Myanmar, Pakistan And Sri Lanka Only.
Author : Bernard Dumas
Publisher : MIT Press
ISBN 13 : 0262036541
Total Pages : 641 pages
Book Rating : 4.2/5 (62 download)
Download or read book The Economics of Continuous-Time Finance written by Bernard Dumas and published by MIT Press. This book was released on 2017-10-27 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to economic applications of the theory of continuous-time finance that strikes a balance between mathematical rigor and economic interpretation of financial market regularities. This book introduces the economic applications of the theory of continuous-time finance, with the goal of enabling the construction of realistic models, particularly those involving incomplete markets. Indeed, most recent applications of continuous-time finance aim to capture the imperfections and dysfunctions of financial markets—characteristics that became especially apparent during the market turmoil that started in 2008. The book begins by using discrete time to illustrate the basic mechanisms and introduce such notions as completeness, redundant pricing, and no arbitrage. It develops the continuous-time analog of those mechanisms and introduces the powerful tools of stochastic calculus. Going beyond other textbooks, the book then focuses on the study of markets in which some form of incompleteness, volatility, heterogeneity, friction, or behavioral subtlety arises. After presenting solutions methods for control problems and related partial differential equations, the text examines portfolio optimization and equilibrium in incomplete markets, interest rate and fixed-income modeling, and stochastic volatility. Finally, it presents models where investors form different beliefs or suffer frictions, form habits, or have recursive utilities, studying the effects not only on optimal portfolio choices but also on equilibrium, or the price of primitive securities. The book strikes a balance between mathematical rigor and the need for economic interpretation of financial market regularities, although with an emphasis on the latter.
Author : Jaksa Cvitanic
Publisher : MIT Press
ISBN 13 : 9780262033206
Total Pages : 528 pages
Book Rating : 4.0/5 (332 download)
Download or read book Introduction to the Economics and Mathematics of Financial Markets written by Jaksa Cvitanic and published by MIT Press. This book was released on 2004-02-27 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: An innovative textbook for use in advanced undergraduate and graduate courses; accessible to students in financial mathematics, financial engineering and economics. Introduction to the Economics and Mathematics of Financial Markets fills the longstanding need for an accessible yet serious textbook treatment of financial economics. The book provides a rigorous overview of the subject, while its flexible presentation makes it suitable for use with different levels of undergraduate and graduate students. Each chapter presents mathematical models of financial problems at three different degrees of sophistication: single-period, multi-period, and continuous-time. The single-period and multi-period models require only basic calculus and an introductory probability/statistics course, while an advanced undergraduate course in probability is helpful in understanding the continuous-time models. In this way, the material is given complete coverage at different levels; the less advanced student can stop before the more sophisticated mathematics and still be able to grasp the general principles of financial economics. The book is divided into three parts. The first part provides an introduction to basic securities and financial market organization, the concept of interest rates, the main mathematical models, and quantitative ways to measure risks and rewards. The second part treats option pricing and hedging; here and throughout the book, the authors emphasize the Martingale or probabilistic approach. Finally, the third part examines equilibrium models—a subject often neglected by other texts in financial mathematics, but included here because of the qualitative insight it offers into the behavior of market participants and pricing.
Author : Ales Cerný
Publisher : Princeton University Press
ISBN 13 : 1400831482
Total Pages : 414 pages
Book Rating : 4.4/5 (8 download)
Download or read book Mathematical Techniques in Finance written by Ales Cerný and published by Princeton University Press. This book was released on 2009-07-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Antonio Villanacci
Publisher : Springer Science & Business Media
ISBN 13 : 9781402072017
Total Pages : 516 pages
Book Rating : 4.0/5 (72 download)
Download or read book Differential Topology and General Equilibrium with Complete and Incomplete Markets written by Antonio Villanacci and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: Local uniqueness and smooth dependence of the endogenous variables from the exogenous ones are studied using a version of a so-called parametric transversality theorem. In a standard general equilibrium model, all equilibria are efficient, but that is not the case if some imperfection, like incomplete markets, asymmetric information, strategic interaction, is added. Then, for almost all economies, equilibria are inefficient, and an outside institution can Pareto improve upon the market outcome. Those results are proved showing that a well-chosen system of equations has no solutions."
Author : Georges Dionne
Publisher : Springer Science & Business Media
ISBN 13 : 0792392043
Total Pages : 748 pages
Book Rating : 4.7/5 (923 download)
Download or read book Foundations of Insurance Economics written by Georges Dionne and published by Springer Science & Business Media. This book was released on 1992 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: Economic and financial research on insurance markets has undergone dramatic growth since its infancy in the early 1960s. Our main objective in compiling this volume was to achieve a wider dissemination of key papers in this literature. Their significance is highlighted in the introduction, which surveys major areas in insurance economics. While it was not possible to provide comprehensive coverage of insurance economics in this book, these readings provide an essential foundation to those who desire to conduct research and teach in the field. In particular, we hope that this compilation and our introduction will be useful to graduate students and to researchers in economics, finance, and insurance. Our criteria for selecting articles included significance, representativeness, pedagogical value, and our desire to include theoretical and empirical work. While the focus of the applied papers is on property-liability insurance, they illustrate issues, concepts, and methods that are applicable in many areas of insurance. The S. S. Huebner Foundation for Insurance Education at the University of Pennsylvania's Wharton School made this book possible by financing publication costs. We are grateful for this assistance and to J. David Cummins, Executive Director of the Foundation, for his efforts and helpful advice on the contents. We also wish to thank all of the authors and editors who provided permission to reprint articles and our respective institutions for technical and financial support.
Author : Ioannis Karatzas
Publisher : Springer Science & Business Media
ISBN 13 : 0387948392
Total Pages : 427 pages
Book Rating : 4.3/5 (879 download)
Download or read book Methods of Mathematical Finance written by Ioannis Karatzas and published by Springer Science & Business Media. This book was released on 1998-08-13 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is a sequel to Brownian Motion and Stochastic Calculus by the same authors. Within the context of Brownian-motion- driven asset prices, it develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets. The latter topic is extended to a study of equilibrium, providing conditions for the existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the text. This monograph should be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options. Also available by Ioannis Karatzas and Steven E. Shreve, Brownian Motion and Stochastic Calculus, Second Edition, Springer-Verlag New York, Inc., 1991, 470 pp., ISBN 0-387- 97655-8.
Author : Yoshio Miyahara
Publisher : World Scientific
ISBN 13 : 1848163479
Total Pages : 200 pages
Book Rating : 4.8/5 (481 download)
Download or read book Option Pricing in Incomplete Markets written by Yoshio Miyahara and published by World Scientific. This book was released on 2012 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers the reader practical methods to compute the option prices in the incomplete asset markets. The [GLP \& MEMM] pricing models are clearly introduced, and the properties of these models are discussed in great detail. It is shown that the geometric Lvy process (GLP) is a typical example of the incomplete market, and that the MEMM (minimal entropy martingale measure) is an extremely powerful pricing measure. This volume also presents the calibration procedure of the [GLP \& MEMM] model that has been widely used in the application of practical problems.
Author : René Carmona
Publisher : Princeton University Press
ISBN 13 : 0691138834
Total Pages : 427 pages
Book Rating : 4.6/5 (911 download)
Download or read book Indifference Pricing written by René Carmona and published by Princeton University Press. This book was released on 2009-01-18 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book about the emerging field of utility indifference pricing for valuing derivatives in incomplete markets. René Carmona brings together a who's who of leading experts in the field to provide the definitive introduction for students, scholars, and researchers. Until recently, financial mathematicians and engineers developed pricing and hedging procedures that assumed complete markets. But markets are generally incomplete, and it may be impossible to hedge against all sources of randomness. Indifference Pricing offers cutting-edge procedures developed under more realistic market assumptions. The book begins by introducing the concept of indifference pricing in the simplest possible models of discrete time and finite state spaces where duality theory can be exploited readily. It moves into a more technical discussion of utility indifference pricing for diffusion models, and then addresses problems of optimal design of derivatives by extending the indifference pricing paradigm beyond the realm of utility functions into the realm of dynamic risk measures. Focus then turns to the applications, including portfolio optimization, the pricing of defaultable securities, and weather and commodity derivatives. The book features original mathematical results and an extensive bibliography and indexes. In addition to the editor, the contributors are Pauline Barrieu, Tomasz R. Bielecki, Nicole El Karoui, Robert J. Elliott, Said Hamadène, Vicky Henderson, David Hobson, Aytac Ilhan, Monique Jeanblanc, Mattias Jonsson, Anis Matoussi, Marek Musiela, Ronnie Sircar, John van der Hoek, and Thaleia Zariphopoulou. The first book on utility indifference pricing Explains the fundamentals of indifference pricing, from simple models to the most technical ones Goes beyond utility functions to analyze optimal risk transfer and the theory of dynamic risk measures Covers non-Markovian and partially observed models and applications to portfolio optimization, defaultable securities, static and quadratic hedging, weather derivatives, and commodities Includes extensive bibliography and indexes Provides essential reading for PhD students, researchers, and professionals
Author : Helyette Geman
Publisher : Springer Science & Business Media
ISBN 13 : 3662124297
Total Pages : 522 pages
Book Rating : 4.6/5 (621 download)
Download or read book Mathematical Finance - Bachelier Congress 2000 written by Helyette Geman and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Bachelier Society for Mathematical Finance held its first World Congress in Paris last year, and coincided with the centenary of Louis Bacheliers thesis defence. In his thesis Bachelier introduces Brownian motion as a tool for the analysis of financial markets as well as the exact definition of options. The thesis is viewed by many the key event that marked the emergence of mathematical finance as a scientific discipline. The prestigious list of plenary speakers in Paris included two Nobel laureates, Paul Samuelson and Robert Merton, and the mathematicians Henry McKean and S.R.S. Varadhan. Over 130 further selected talks were given in three parallel sessions. .
Author : Thorsten Hens
Publisher : Springer Science & Business Media
ISBN 13 : 9781402073373
Total Pages : 336 pages
Book Rating : 4.0/5 (733 download)
Download or read book General Equilibrium Foundations of Finance written by Thorsten Hens and published by Springer Science & Business Media. This book was released on 2002 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of General Equilibrium Foundations of Finance is to give a sound economic foundation of finance based on the general equilibrium model with incomplete markets which embodies the famous CAPM as an important special case. This goal is achieved by giving reasonable restrictions on the agents' characteristics that lead to a well determined financial markets model having a unique competitive equilibrium. The innovation of this book is to transfer and to extend the theoretical results on the structure of competitive equilibria into the modern context of incomplete financial markets. General Equilibrium Foundations of Finance should be easily accessible by advanced Ph.D. students as well as by theorists of any subfield of mathematical economics. It should be interesting both for theorists who are looking for possible applications of rigorous theorizing as well as for practitioners who seek for a theoretical foundation of fruitful applications of financial markets' models.
Author : Tomas Björk
Publisher : OUP Oxford
ISBN 13 : 0191610291
Total Pages : 600 pages
Book Rating : 4.1/5 (916 download)
Download or read book Arbitrage Theory in Continuous Time written by Tomas Björk and published by OUP Oxford. This book was released on 2009-08-06 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The third edition of this popular introduction to the classical underpinnings of the mathematics behind finance continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous arbitrage pricing of financial derivatives, including stochastic optimal control theory and Merton's fund separation theory, the book is designed for graduate students and combines necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. In this substantially extended new edition Bjork has added separate and complete chapters on the martingale approach to optimal investment problems, optimal stopping theory with applications to American options, and positive interest models and their connection to potential theory and stochastic discount factors. More advanced areas of study are clearly marked to help students and teachers use the book as it suits their needs.
Author : CIME-EMS Summer School
Publisher : Springer Science & Business Media
ISBN 13 : 9783540229537
Total Pages : 328 pages
Book Rating : 4.2/5 (295 download)
Download or read book Stochastic Methods in Finance written by CIME-EMS Summer School and published by Springer Science & Business Media. This book was released on 2004 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ioannis Karatzas
Publisher : American Mathematical Soc.
ISBN 13 : 0821809091
Total Pages : 163 pages
Book Rating : 4.8/5 (218 download)
Download or read book Lectures on the Mathematics of Finance written by Ioannis Karatzas and published by American Mathematical Soc.. This book was released on 1997 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, the author discusses the main aspects of mathematical finance. These include, arbitrage, hedging and pricing of contingent claims, portfolio optimization, incomplete and/or constrained markets, equilibrium, and transaction costs. The book outlines advances made possible during the last fifteen years due to the methodologies of stochastic analysis and control. Readers are presented with current research, and open problems are suggested. This tutorial survey of the rapidly expanding field of mathematical finance is addressed primarily to graduate students in mathematics. Familiarity is assumed with stochastic analysis and parabolic partial differential equations. The text makes significant use of students' mathematical skills, but always in connection with interesting applied problems.
Author : Kim C. Border
Publisher : Cambridge University Press
ISBN 13 : 9780521388085
Total Pages : 144 pages
Book Rating : 4.3/5 (88 download)
Download or read book Fixed Point Theorems with Applications to Economics and Game Theory written by Kim C. Border and published by Cambridge University Press. This book was released on 1985 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores fixed point theorems and its uses in economics, co-operative and noncooperative games.
Author : Wendell H. Fleming
Publisher : Springer Science & Business Media
ISBN 13 : 0387310711
Total Pages : 436 pages
Book Rating : 4.3/5 (873 download)
Download or read book Controlled Markov Processes and Viscosity Solutions written by Wendell H. Fleming and published by Springer Science & Business Media. This book was released on 2006-02-04 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to optimal stochastic control for continuous time Markov processes and the theory of viscosity solutions. It covers dynamic programming for deterministic optimal control problems, as well as to the corresponding theory of viscosity solutions. New chapters in this second edition introduce the role of stochastic optimal control in portfolio optimization and in pricing derivatives in incomplete markets and two-controller, zero-sum differential games.
