Download or read book Martingale and Arbitrage in Securities Markets with Transaction Cost written by Elyes Jouini and published by . This book was released on 2007 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: We derive the implications from the absence of arbitrage in dynamic securities market with bi-ask spreads. The absence of arbitrage is equivalent to the existence of at least an equivalent probability measure that transforms some process between the bid and the ask price processes of traded securities into a martingale. These martingale measures can be interpreted as possible linear pricing rules and can be used to determine the investment opportunities available in such an economy. The minimum cost at which a contingent claim can be obtained through securities trading is its largest expected value with respect to the martingale measures.
Download or read book Martingales and Arbitrage in Securities Markets with Transaction Costs written by Elyès Jouini and published by . This book was released on 1995 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Martingales and Arbitrage in Securities Markets with Transaction Costs written by Elyès Jouini and published by . This book was released on 1992 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Markets with Transaction Costs written by Yuri Kabanov and published by Springer Science & Business Media. This book was released on 2009-12-04 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is the first monograph on this highly important subject.
Download or read book Arbitrage and Viability in Securities Markets with Fixed Trading Costs written by Elyes Jouini and published by . This book was released on 2015 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper studies foundational issues in securities markets models with fixed costs of trading, i.e. transaction costs that are bounded regardless of the transaction size, such as fixed brokerage fees, investment taxes, operational and processing costs, or opportunity costs. We show that the absence of free lunches in such models is equivalent to the existence of a family of absolutely continuous probability measures for which the normalized price processes are martingales, conditional to any possible future event. This is a weaker condition than the absence of free lunches in frictionless models, which is equivalent to the existence of an equivalent martingale measure. We also show that the only arbitrage free pricing rules on the set of attainable contingent claims are those that are equal to the sum of an expected value with respect to any absolutely continuous martingale measure and of a bounded fixed cost functional. Moreover, these pricing rules are the only ones to be viable as models of economic equilibrium.
Download or read book Martingales and Arbitrage in Multiperiod Securities Markets written by J. Michael Harrison and published by . This book was released on 1979 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Martingales and Arbitrage in Securities Markets written by David Walsh and published by . This book was released on 1993 with total page 67 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Dynamic Arbitrage free Asset Pricing with Proportional Transaction Costs written by Xiaotie Deng and published by London : Department of Economics, University of Western Ontario. This book was released on 2000 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Multiperiod Securities Markets With Differential Information written by Darrell Duffie and published by Legare Street Press. This book was released on 2023-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous examination of the role of information and martingales in multiperiod securities trading, and their impact on resolution times. Essential reading for economists and financial professionals. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
Download or read book The Mathematics of Arbitrage written by Freddy Delbaen and published by Springer Science & Business Media. This book was released on 2006-02-14 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proof of the "Fundamental Theorem of Asset Pricing" in its general form by Delbaen and Schachermayer was a milestone in the history of modern mathematical finance and now forms the cornerstone of this book. Puts into book format a series of major results due mostly to the authors of this book. Embeds highest-level research results into a treatment amenable to graduate students, with introductory, explanatory background. Awaited in the quantitative finance community.
Download or read book Arbitrage written by Michael G. Allingham and published by Springer. This book was released on 1991-07-01 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: A text using the concept of arbitrage to value securities, that is to construct the elements of financial economics. Divided into three parts, the book develops the foundations for the study, applies the basic theorem in a single-period setting and extends the discussion to a many-period setting.
Download or read book Multiperiod Securities Markets with Differential Information written by Darrell Duffie and published by . This book was released on 1985 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 Weak Convergence of Financial Markets written by Jean-Luc Prigent and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive overview of weak convergence of stochastic processes and its application to the study of financial markets. Split into three parts, the first recalls the mathematics of stochastic processes and stochastic calculus with special emphasis on contiguity properties and weak convergence of stochastic integrals. The second part is devoted to the analysis of financial theory from the convergence point of view. The main problems, which include portfolio optimization, option pricing and hedging are examined, especially when considering discrete-time approximations of continuous-time dynamics. The third part deals with lattice- and tree-based computational procedures for option pricing both on stocks and stochastic bonds. More general discrete approximations are also introduced and detailed. Includes detailed examples.
Download or read book Multiperiod Securities Markets With Differential Information written by Darrell Duffie and published by Forgotten Books. This book was released on 2018-02-09 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Multiperiod Securities Markets, With Differential Information: Martingales and Resolution Times We model multiperiod securities markets with differential information. A price system that admits no free lunches is related to martingales when agents have rational expec tations. We introduce a concept called resolution time and show that a better informed agent and a worse informed agent must agree on the resolution times of commonly mar keted events if they have rational expectations and if there are no free lunches. It then follows that if all the elementary events are marketed for a worse informed agent then any price system that admits no free lunches to a better informed agent must dynami cally equalize the information asymmetry between the two. We provide an example of. 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.
Download or read book Optimality and Risk Modern Trends in Mathematical Finance written by Freddy Delbaen and published by Springer Science & Business Media. This book was released on 2009-08-25 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Problems of stochastic optimization and various mathematical aspects of risk are the main themes of this contributed volume. The readers learn about the recent results and techniques of optimal investment, risk measures and derivative pricing. There are also papers touching upon credit risk, martingale theory and limit theorems. Forefront researchers in probability and financial mathematics have contributed to this volume paying tribute to Yuri Kabanov, an eminent researcher in probability and mathematical finance, on the occasion of his 60th birthday. The volume gives a fair overview of these topics and the current approaches.
