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.
Download or read book Probabilistic Models for Nonlinear Partial Differential Equations written by Denis Talay and published by Springer. This book was released on 2006-11-13 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lecture courses of the CIME Summer School on Probabilistic Models for Nonlinear PDE's and their Numerical Applications (April 1995) had a three-fold emphasis: first, on the weak convergence of stochastic integrals; second, on the probabilistic interpretation and the particle approximation of equations coming from Physics (conservation laws, Boltzmann-like and Navier-Stokes equations); third, on the modelling of networks by interacting particle systems. This book, collecting the notes of these courses, will be useful to probabilists working on stochastic particle methods and on the approximation of SPDEs, in particular, to PhD students and young researchers.
Download or read book Peter Carr Gedenkschrift Research Advances In Mathematical Finance written by Robert A Jarrow and published by World Scientific. This book was released on 2023-11-10 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Gedenkschrift for Peter Carr, our dear friend and colleague who suddenly left us on March 1, 2022, was organized to honor the life and lasting contributions of Peter to Quantitative Finance. A group of Peter's co-authors and professional friends contributed chapters for this Gedenkschrift shortly after his passing. The papers were received by September 15, 2022 and some were presented at the Peter Carr Gedenkschrift Conference held at the Robert H Smith School of Business on November 11, 2022. The contributed papers cover a wide range of topics corresponding to the vast range of Peter's interests. Each paper represents new research results in recognition of Peter's scholarly activities. The book serves as an important marker for the research knowledge existing at the time of the Gedenkschrift's publication on a number of topics within quantitative finance. It reflects the diverse interactions between mathematics and finance and illustrates, for those interested, the breadth and depth of this development. The book also presents a collection of tributes to Peter from family and friends including those made at his Memorial Service on March 19, 2022. The result is hopefully a more complete testament to a personal and professional life well lived, and unexpectedly cut short.
Download or read book Handbook Of The Fundamentals Of Financial Decision Making In 2 Parts written by Leonard C Maclean and published by World Scientific. This book was released on 2013-05-10 with total page 941 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook in two parts covers key topics of the theory of financial decision making. Some of the papers discuss real applications or case studies as well. There are a number of new papers that have never been published before especially in Part II.Part I is concerned with Decision Making Under Uncertainty. This includes subsections on Arbitrage, Utility Theory, Risk Aversion and Static Portfolio Theory, and Stochastic Dominance. Part II is concerned with Dynamic Modeling that is the transition for static decision making to multiperiod decision making. The analysis starts with Risk Measures and then discusses Dynamic Portfolio Theory, Tactical Asset Allocation and Asset-Liability Management Using Utility and Goal Based Consumption-Investment Decision Models.A comprehensive set of problems both computational and review and mind expanding with many unsolved problems are in an accompanying problems book. The handbook plus the book of problems form a very strong set of materials for PhD and Masters courses both as the main or as supplementary text in finance theory, financial decision making and portfolio theory. For researchers, it is a valuable resource being an up to date treatment of topics in the classic books on these topics by Johnathan Ingersoll in 1988, and William Ziemba and Raymond Vickson in 1975 (updated 2nd edition published in 2006).
Download or read book Financial Markets Theory written by Emilio Barucci and published by Springer. This book was released on 2017-06-08 with total page 843 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Encyclopedia of Finance written by Cheng-Few Lee and published by Springer Nature. This book was released on 2022-09-12 with total page 2746 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Encyclopedia of Finance comprehensively covers the broad spectrum of terms and topics relating finance from asset pricing models to option pricing models to risk management and beyond. This third edition is comprised of over 1,300 individual definitions, chapters, appendices and is the most comprehensive and up-to-date resource in the field, integrating the most current terminology, research, theory, and practical applications. It includes 200 new terms and essays; 25 new chapters and four new appendices. Showcasing contributions from an international array of experts, the revised edition of this major reference work is unparalleled in the breadth and depth of its coverage.
Download or read book Stochastic Processes and Applications to Mathematical Finance written by Jiro Akahori and published by World Scientific. This book was released on 2007 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) and mathematical finance and financial engineering, the conference elicits the very highest quality papers in the field of financial mathematics.
Download or read book Financial Markets in Continuous Time written by Rose-Anne Dana and published by Springer Science & Business Media. This book was released on 2007-07-12 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains key financial concepts, mathematical tools and theories of mathematical finance. It is organized in four parts. The first brings together a number of results from discrete-time models. The second develops stochastic continuous-time models for the valuation of financial assets (the Black-Scholes formula and its extensions), for optimal portfolio and consumption choice, and for obtaining the yield curve and pricing interest rate products. The third part recalls some concepts and results of equilibrium theory and applies this in financial markets. The last part tackles market incompleteness and the valuation of exotic options.
Download or read book Methods of Mathematical Finance written by Ioannis Karatzas and published by Springer. This book was released on 2017-01-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for 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 book. This book will 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.
Download or read book Financial Economics written by Thorsten Hens and published by Springer Science & Business Media. This book was released on 2010-07-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Stochastic Processes And Applications To Mathematical Finance Proceedings Of The 6th Ritsumeikan International Conference written by Jiro Akahori and published by World Scientific. This book was released on 2007-04-04 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the contributions to a conference that is among the most important meetings in financial mathematics. Serving as a bridge between probabilists in Japan (called the Ito School and known for its highly sophisticated mathematics) and mathematical finance and financial engineering, the conference elicits the very highest quality papers in the field of financial mathematics.
Download or read book Stochastic Finance written by Hans Föllmer and published by Walter de Gruyter. This book was released on 2008-12-19 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to financial mathematics. The first part of the book studies a simple one-period model which serves as a building block for later developments. Topics include the characterization of arbitrage-free markets, preferences on asset profiles, an introduction to equilibrium analysis, and monetary measures of risk. In the second part, the idea of dynamic hedging of contingent claims is developed in a multiperiod framework. Such models are typically incomplete: They involve intrinsic risks which cannot be hedged away completely. Topics include martingale measures, pricing formulas for derivatives, American options, superhedging, and hedging strategies with minimal shortfall risk. In addition to many corrections and improvements, this second edition contains several new sections, including a systematic discussion of law-invariant risk measures and of the connections between American options, superhedging, and dynamic risk measures.
Download or read book Slow Moving Capital written by Mark Mitchell and published by . This book was released on 2007 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study three cases in which specialized arbitrageurs lost significant amounts of capital and, as a result, became liquidity demanders rather than providers. The effects on security markets were large and persistent: Prices dropped relative to fundamentals and the rebound took months. While multi-strategy hedge funds who were not capital constrained increased their positions, a large fraction of these funds actually acted as net sellers consistent with the view that information barriers within a firm (not just relative to outside investors) can lead to capital constraints for trading desks with mark-to-market losses. Our findings suggest that real world frictions impede arbitrage capital.
Download or read book Financial Mathematics written by Bruno Biais and published by Springer. This book was released on 2006-11-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial Mathematics is an exciting, emerging field of application. The five sets of course notes in this book provide a bird's eye view of the current "state of the art" and directions of research. For graduate students it will therefore serve as an introduction to the field while reseachers will find it a compact source of reference. The reader is expected to have a good knowledge of the basic mathematical tools corresponding to an introductory graduate level and sufficient familiarity with probabilistic methods, in particular stochastic analysis.
Download or read book Handbook of Finance Financial Markets and Instruments written by Frank J. Fabozzi and published by John Wiley & Sons. This book was released on 2008-11-03 with total page 868 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume I: Financial Markets and Instruments skillfully covers the general characteristics of different asset classes, derivative instruments, the markets in which financial instruments trade, and the players in those markets. It also addresses the role of financial markets in an economy, the structure and organization of financial markets, the efficiency of markets, and the determinants of asset pricing and interest rates. Incorporating timely research and in-depth analysis, the Handbook of Finance is a comprehensive 3-Volume Set that covers both established and cutting-edge theories and developments in finance and investing. Other volumes in the set: Handbook of Finance Volume II: Investment Management and Financial Management and Handbook of Finance Volume III: Valuation, Financial Modeling, and Quantitative Tools.
Download or read book Paris Princeton Lectures on Mathematical Finance 2002 written by René Carmona and published by Springer Science & Business Media. This book was released on 2003 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Law Bubbles and Financial Regulation written by Erik F. Gerding and published by Routledge. This book was released on 2013-12-04 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial regulation can fail when it is needed the most. The dynamics of asset price bubbles weaken financial regulation just as financial markets begin to overheat and the risk of crisis spikes. At the same time, the failure of financial regulations adds further fuel to a bubble. This book examines the interaction of bubbles and financial regulation. It explores the ways in which bubbles lead to the failure of financial regulation by outlining five dynamics, which it collectively labels the "Regulatory Instability Hypothesis." . The book concludes by outlining approaches to make financial regulation more resilient to these dynamics that undermine law.
