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Author : Philip H. Dybvig
Publisher :
ISBN 13 :
Total Pages : 19 pages
Book Rating : 4.:/5 (183 download)
Download or read book Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans written by Philip H. Dybvig and published by . This book was released on 1987 with total page 19 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Philip H. Dybvig
Publisher : Forgotten Books
ISBN 13 : 9780656185177
Total Pages : 28 pages
Book Rating : 4.1/5 (851 download)
Download or read book Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans (Classic Reprint) written by Philip H. Dybvig and published by Forgotten Books. This book was released on 2018-02-09 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Nonnegative Wealth, Absence of Arbitrage, and Feasible Consumption Plans While much of the intuition in option pricing and portfolio choice can be exhibited in discrete time models, continuous time models using Ito calculus have been dominant in these areas of finance.l One reason is that it is generally easier to derive a closed - form solution to a differential equation than to a difference equation. Early development of continuous-time finance using Ito calculus tended to be intuitively based and assumed sufficiency of the natural first order conditions (see, for example, Merton [1971] and Black and Scholes The intuitive appeal of the results was reassuring, as was consistency with limiting versions of discrete-time results (as in Cox, Ross, and Rubinstein but at that time no attempt was made to make sure that the mathematical analysis was rigorously correct. Harrison and Kreps [1979] set out to give the continuous time analysis a rigorous foundation. They showed that this task is not straightforward, since arbitrage profits can be obtained using seemingly reasonable strategies called doubling strategies (after the strategy of doubling one's bet at roulette). Having continuous trading allows one to do in any finite time interval what would take infinitely many turns at the roulette wheel. Presence of the doubling strategies strikes at the core of the continuous time model, rendering it vacuous. Having arbitrage opportunities precludes having a solution to the optimal investment problem (for strictly monotone preferences) and, of course, invalidates option pricing theory based on the assumption that there is no arbitrage Opportunity. Harrison and Kreps removed arbitrage possibilities by restricting trading strategies to simple trading strategies that allow trade only at finitely many times chosen in advance. This restriction allowed them to use and formalize the risk - neutral pricing approach of Cox and Ross Cox and Ross argued that in the absence of arbitrage, one could always reassign the probabilities to give all assets the same expected returns. Harrison and Kreps called this approach the martingale approach because of its relation to martingale theory. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Laurent E. Calvet
Publisher : Academic Press
ISBN 13 : 0080559964
Total Pages : 273 pages
Book Rating : 4.0/5 (85 download)
Download or read book Multifractal Volatility written by Laurent E. Calvet and published by Academic Press. This book was released on 2008-10-13 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Calvet and Fisher present a powerful, new technique for volatility forecasting that draws on insights from the use of multifractals in the natural sciences and mathematics and provides a unified treatment of the use of multifractal techniques in finance. A large existing literature (e.g., Engle, 1982; Rossi, 1995) models volatility as an average of past shocks, possibly with a noise component. This approach often has difficulty capturing sharp discontinuities and large changes in financial volatility. Their research has shown the advantages of modelling volatility as subject to abrupt regime changes of heterogeneous durations. Using the intuition that some economic phenomena are long-lasting while others are more transient, they permit regimes to have varying degrees of persistence. By drawing on insights from the use of multifractals in the natural sciences and mathematics, they show how to construct high-dimensional regime-switching models that are easy to estimate, and substantially outperform some of the best traditional forecasting models such as GARCH. The goal of Multifractal Volatility is to popularize the approach by presenting these exciting new developments to a wider audience. They emphasize both theoretical and empirical applications, beginning with a style that is easily accessible and intuitive in early chapters, and extending to the most rigorous continuous-time and equilibrium pricing formulations in final chapters. - Presents a powerful new technique for forecasting volatility - Leads the reader intuitively from existing volatility techniques to the frontier of research in this field by top scholars at major universities - The first comprehensive book on multifractal techniques in finance, a cutting-edge field of research
Author : Ioannis Karatzas
Publisher : Springer
ISBN 13 : 1493968459
Total Pages : 426 pages
Book Rating : 4.4/5 (939 download)
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.
Author : Kerry E. Back
Publisher : Oxford University Press
ISBN 13 : 0190241152
Total Pages : 608 pages
Book Rating : 4.1/5 (92 download)
Download or read book Asset Pricing and Portfolio Choice Theory written by Kerry E. Back and published by Oxford University Press. This book was released on 2017-01-04 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the 2nd edition of Asset Pricing and Portfolio Choice Theory, Kerry E. Back offers a concise yet comprehensive introduction to and overview of asset pricing. Intended as a textbook for asset pricing theory courses at the Ph.D. or Masters in Quantitative Finance level with extensive exercises and a solutions manual available for professors, the book is also an essential reference for financial researchers and professionals, as it includes detailed proofs and calculations as section appendices. The first two parts of the book explain portfolio choice and asset pricing theory in single-period, discrete-time, and continuous-time models. For valuation, the focus throughout is on stochastic discount factors and their properties. A section on derivative securities covers the usual derivatives (options, forwards and futures, and term structure models) and also applications of perpetual options to corporate debt, real options, and optimal irreversible investment. A chapter on "explaining puzzles" and the last part of the book provide introductions to a number of additional current topics in asset pricing research, including rare disasters, long-run risks, external and internal habits, asymmetric and incomplete information, heterogeneous beliefs, and non-expected-utility preferences. Each chapter includes a "Notes and References" section providing additional pathways to the literature. Each chapter also includes extensive exercises.
Author : Kerry Back
Publisher : Oxford University Press
ISBN 13 : 019970144X
Total Pages : 504 pages
Book Rating : 4.1/5 (997 download)
Download or read book Asset Pricing and Portfolio Choice Theory written by Kerry Back and published by Oxford University Press. This book was released on 2010-08-12 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Asset Pricing and Portfolio Choice Theory, Kerry E. Back at last offers what is at once a welcoming introduction to and a comprehensive overview of asset pricing. Useful as a textbook for graduate students in finance, with extensive exercises and a solutions manual available for professors, the book will also serve as an essential reference for scholars and professionals, as it includes detailed proofs and calculations as section appendices. Topics covered include the classical results on single-period, discrete-time, and continuous-time models, as well as various proposed explanations for the equity premium and risk-free rate puzzles and chapters on heterogeneous beliefs, asymmetric information, non-expected utility preferences, and production models. The book includes numerous exercises designed to provide practice with the concepts and to introduce additional results. Each chapter concludes with a notes and references section that supplies pathways to additional developments in the field.
Author : Bruno Biais
Publisher : Springer
ISBN 13 : 3540683569
Total Pages : 322 pages
Book Rating : 4.5/5 (46 download)
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.
Author : Marek Musiela
Publisher : Springer Science & Business Media
ISBN 13 : 3662221322
Total Pages : 521 pages
Book Rating : 4.6/5 (622 download)
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 2013-06-29 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and self-contained treatment of the theory and practice of option pricing. The role of martingale methods in financial modeling is exposed. The emphasis is on using arbitrage-free models already accepted by the market as well as on building the new ones. Standard calls and puts together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and presenting to the industry useful maths tools.
Author : Darrell Duffie
Publisher : Princeton University Press
ISBN 13 : 1400829208
Total Pages : 488 pages
Book Rating : 4.4/5 (8 download)
Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.
Author : G. Constantinides
Publisher : Elsevier
ISBN 13 : 0080495087
Total Pages : 698 pages
Book Rating : 4.0/5 (84 download)
Download or read book Handbook of the Economics of Finance written by G. Constantinides and published by Elsevier. This book was released on 2003-11-04 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1B covers the economics of financial markets: the saving and investment decisions; the valuation of equities, derivatives, and fixed income securities; and market microstructure.
Author : E. Robert Fernholz
Publisher : Springer Science & Business Media
ISBN 13 : 1475736991
Total Pages : 190 pages
Book Rating : 4.4/5 (757 download)
Download or read book Stochastic Portfolio Theory written by E. Robert Fernholz and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic portfolio theory is a mathematical methodology for constructing stock portfolios and for analyzing the effects induced on the behavior of these portfolios by changes in the distribution of capital in the market. Stochastic portfolio theory has both theoretical and practical applications: as a theoretical tool it can be used to construct examples of theoretical portfolios with specified characteristics and to determine the distributional component of portfolio return. This book is an introduction to stochastic portfolio theory for investment professionals and for students of mathematical finance. Each chapter includes a number of problems of varying levels of difficulty and a brief summary of the principal results of the chapter, without proofs.
Author : Yacine Ait-Sahalia
Publisher : Elsevier
ISBN 13 : 0444535497
Total Pages : 385 pages
Book Rating : 4.4/5 (445 download)
Download or read book Handbook of Financial Econometrics written by Yacine Ait-Sahalia and published by Elsevier. This book was released on 2009-10-21 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied financial econometrics subjects are featured in this second volume, with papers that survey important research even as they make unique empirical contributions to the literature. These subjects are familiar: portfolio choice, trading volume, the risk-return tradeoff, option pricing, bond yields, and the management, supervision, and measurement of extreme and infrequent risks. Yet their treatments are exceptional, drawing on current data and evidence to reflect recent events and scholarship. A landmark in its coverage, this volume should propel financial econometric research for years. - Presents a broad survey of current research - Contributors are leading econometricians - Offers a clarity of method and explanation unavailable in other financial econometrics collections
Author : Romain Deguest
Publisher : World Scientific
ISBN 13 : 9811240965
Total Pages : 324 pages
Book Rating : 4.8/5 (112 download)
Download or read book Goal-based Investing: Theory And Practice written by Romain Deguest and published by World Scientific. This book was released on 2021-07-13 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goal-based investing is a new paradigm that is expected to have a profound and long-lasting impact on the wealth management industry. This book presents the concept in detail and introduces a general operational framework that can be used by financial advisors to help individual investors optimally allocate their wealth by identifying performance-seeking assets and hedging assets. Grounded in the principles of asset pricing and portfolio optimisation, the goal-based investing approach leads to the design of investment solutions that truly respond to investors' problems, which can most often be summarized as follows: secure essential goals with the highest confidence level and maximize the chances to reach aspirational goals.A series of case studies guides the reader through the implementation of goal-based investing, illustrates the efficiency of this paradigm and explains how one can accommodate a variety of implementation features such as taxes, short-sales constraints, parameter estimation risk, as well as limited customisation.
Author : Terence Lim
Publisher : Now Publishers Inc
ISBN 13 : 1933019212
Total Pages : 225 pages
Book Rating : 4.9/5 (33 download)
Download or read book The Derivatives Sourcebook written by Terence Lim and published by Now Publishers Inc. This book was released on 2006 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Derivatives Sourcebook is a citation study and classification system that organizes the many strands of the derivatives literature and assigns each citation to a category. Over 1800 research articles are collected and organized into a simple web-based searchable database. We have also included the 1997 Nobel lectures of Robert Merton and Myron Scholes as a backdrop to this literature.
Author : D.R. Cox
Publisher : CRC Press
ISBN 13 : 1000152944
Total Pages : 243 pages
Book Rating : 4.0/5 (1 download)
Download or read book Time Series Models written by D.R. Cox and published by CRC Press. This book was released on 2020-11-26 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis prediction and interpolation of economic and other time series has a long history and many applications. Major new developments are taking place, driven partly by the need to analyze financial data. The five papers in this book describe those new developments from various viewpoints and are intended to be an introduction accessible to readers from a range of backgrounds. The book arises out of the second Seminaire European de Statistique (SEMSTAT) held in Oxford in December 1994. This brought together young statisticians from across Europe, and a series of introductory lectures were given on topics at the forefront of current research activity. The lectures form the basis for the five papers contained in the book. The papers by Shephard and Johansen deal respectively with time series models for volatility, i.e. variance heterogeneity, and with cointegration. Clements and Hendry analyze the nature of prediction errors. A complementary review paper by Laird gives a biometrical view of the analysis of short time series. Finally Astrup and Nielsen give a mathematical introduction to the study of option pricing. Whilst the book draws its primary motivation from financial series and from multivariate econometric modelling, the applications are potentially much broader.
Author : Robert A. Jarrow
Publisher : World Scientific
ISBN 13 : 9812819223
Total Pages : 609 pages
Book Rating : 4.8/5 (128 download)
Download or read book Financial Derivatives Pricing written by Robert A. Jarrow and published by World Scientific. This book was released on 2008 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of original papers by Robert Jarrow that contributed to significant advances in financial economics. Divided into three parts, Part I concerns option pricing theory and its foundations. The papers here deal with the famous Black-Scholes-Merton model, characterizations of the American put option, and the first applications of arbitrage pricing theory to market manipulation and liquidity risk.Part II relates to pricing derivatives under stochastic interest rates. Included is the paper introducing the famous HeathOCoJarrowOCoMorton (HJM) model, together with papers on topics like the characterization of the difference between forward and futures prices, the forward price martingale measure, and applications of the HJM model to foreign currencies and commodities.Part III deals with the pricing of financial derivatives considering both stochastic interest rates and the likelihood of default. Papers cover the reduced form credit risk model, in particular the original Jarrow and Turnbull model, the Markov model for credit rating transitions, counterparty risk, and diversifiable default risk.
Author : Blaise Allaz Bernard Dumas
Publisher : Springer
ISBN 13 : 1489971165
Total Pages : 385 pages
Book Rating : 4.4/5 (899 download)
Download or read book Financial Securities written by Blaise Allaz Bernard Dumas and published by Springer. This book was released on 2013-12-19 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finance is an area of business practice that has been deeply influenced by theoretical developments. This book provides the basic theoretical foundations necessary to understand how three broad classes of assets - stocks, options and bonds - are valued on financial markets, while developing the crucial concepts of market equilibrium and arbitrage. The analysis is rigorous, yet successfully bridges the gap between mathematical and non-mathematical approaches to provide a book which will be of interest to both academics and practitioners.
