Pricing By Arbitrage In Incomplete Markets

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Market-Consistent Prices

Author : Pablo Koch-Medina
Publisher : Springer Nature
ISBN 13 : 3030397246
Total Pages : 448 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Market-Consistent Prices by : Pablo Koch-Medina

Download or read book Market-Consistent Prices written by Pablo Koch-Medina and published by Springer Nature. This book was released on 2020-07-16 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arbitrage Theory provides the foundation for the pricing of financial derivatives and has become indispensable in both financial theory and financial practice. This textbook offers a rigorous and comprehensive introduction to the mathematics of arbitrage pricing in a discrete-time, finite-state economy in which a finite number of securities are traded. In a first step, various versions of the Fundamental Theorem of Asset Pricing, i.e., characterizations of when a market does not admit arbitrage opportunities, are proved. The book then focuses on incomplete markets where the main concern is to obtain a precise description of the set of “market-consistent” prices for nontraded financial contracts, i.e. the set of prices at which such contracts could be transacted between rational agents. Both European-type and American-type contracts are considered. A distinguishing feature of this book is its emphasis on market-consistent prices and a systematic description of pricing rules, also at intermediate dates. The benefits of this approach are most evident in the treatment of American options, which is novel in terms of both the presentation and the scope, while also presenting new results. The focus on discrete-time, finite-state models makes it possible to cover all relevant topics while requiring only a moderate mathematical background on the part of the reader. The book will appeal to mathematical finance and financial economics students seeking an elementary but rigorous introduction to the subject; mathematics and physics students looking for an opportunity to get acquainted with a modern applied topic; and mathematicians, physicists and quantitatively inclined economists working or planning to work in the financial industry.

Option Pricing in Incomplete Markets

Author : Yoshio Miyahara
Publisher : World Scientific
ISBN 13 : 1848163487
Total Pages : 200 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Option Pricing in Incomplete Markets by : Yoshio Miyahara

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 L(r)vy 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 problem

Theory of Incomplete Markets

Author : Michael Magill
Publisher : MIT Press
ISBN 13 : 9780262632546
Total Pages : 566 pages
Book Rating : 4.6/5 (325 download)

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Book Synopsis Theory of Incomplete Markets by : Michael Magill

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.

Mathematical Finance - Bachelier Congress 2000

Author : Helyette Geman
Publisher : Springer Science & Business Media
ISBN 13 : 3662124297
Total Pages : 522 pages
Book Rating : 4.6/5 (621 download)

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Book Synopsis Mathematical Finance - Bachelier Congress 2000 by : Helyette Geman

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. .

Arbitrage Theory in Continuous Time

Author : Tomas Björk
Publisher : OUP Oxford
ISBN 13 : 0191610291
Total Pages : 600 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Arbitrage Theory in Continuous Time by : Tomas Björk

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.

The Paradox of Asset Pricing

Author : Peter Bossaerts
Publisher : Princeton University Press
ISBN 13 : 1400850665
Total Pages : 187 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis The Paradox of Asset Pricing by : Peter Bossaerts

Download or read book The Paradox of Asset Pricing written by Peter Bossaerts and published by Princeton University Press. This book was released on 2013-12-03 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asset pricing theory abounds with elegant mathematical models. The logic is so compelling that the models are widely used in policy, from banking, investments, and corporate finance to government. To what extent, however, can these models predict what actually happens in financial markets? In The Paradox of Asset Pricing, a leading financial researcher argues forcefully that the empirical record is weak at best. Peter Bossaerts undertakes the most thorough, technically sound investigation in many years into the scientific character of the pricing of financial assets. He probes this conundrum by modeling a decidedly volatile phenomenon that, he says, the world of finance has forgotten in its enthusiasm for the efficient markets hypothesis--speculation. Bossaerts writes that the existing empirical evidence may be tainted by the assumptions needed to make sense of historical field data or by reanalysis of the same data. To address the first problem, he demonstrates that one central assumption--that markets are efficient processors of information, that risk is a knowable quantity, and so on--can be relaxed substantially while retaining core elements of the existing methodology. The new approach brings novel insights to old data. As for the second problem, he proposes that asset pricing theory be studied through experiments in which subjects trade purposely designed assets for real money. This book will be welcomed by finance scholars and all those math--and statistics-minded readers interested in knowing whether there is science beyond the mathematics of finance. This book provided the foundation for subsequent journal articles that won two prestigious awards: the 2003 Journal of Financial Markets Best Paper Award and the 2004 Goldman Sachs Asset Management Best Research Paper for the Review of Finance.

Continuous-Time Asset Pricing Theory

Author : Robert A. Jarrow
Publisher : Springer Nature
ISBN 13 : 3030744108
Total Pages : 470 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Continuous-Time Asset Pricing Theory by : Robert A. Jarrow

Download or read book Continuous-Time Asset Pricing Theory written by Robert A. Jarrow and published by Springer Nature. This book was released on 2021-07-30 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Asset pricing theory yields deep insights into crucial market phenomena such as stock market bubbles. Now in a newly revised and updated edition, this textbook guides the reader through this theory and its applications to markets. The new edition features new results on state dependent preferences, a characterization of market efficiency and a more general presentation of multiple-factor models using only the assumptions of no arbitrage and no dominance. Taking an innovative approach based on martingales, the book presents advanced techniques of mathematical finance in a business and economics context, covering a range of relevant topics such as derivatives pricing and hedging, systematic risk, portfolio optimization, market efficiency, and equilibrium pricing models. For applications to high dimensional statistics and machine learning, new multi-factor models are given. This new edition integrates suicide trading strategies into the understanding of asset price bubbles, greatly enriching the overall presentation and further strengthening the book’s underlying theme of economic bubbles. Written by a leading expert in risk management, Continuous-Time Asset Pricing Theory is the first textbook on asset pricing theory with a martingale approach. Based on the author’s extensive teaching and research experience on the topic, it is particularly well suited for graduate students in business and economics with a strong mathematical background.

Indifference Pricing

Author : René Carmona
Publisher : Princeton University Press
ISBN 13 : 0691138834
Total Pages : 427 pages
Book Rating : 4.6/5 (911 download)

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Book Synopsis Indifference Pricing by : René Carmona

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

Advances in Mathematical Finance

Author : Michael C. Fu
Publisher : Springer Science & Business Media
ISBN 13 : 0817645454
Total Pages : 345 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Advances in Mathematical Finance by : Michael C. Fu

Download or read book Advances in Mathematical Finance written by Michael C. Fu and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained volume brings together a collection of chapters by some of the most distinguished researchers and practitioners in the field of mathematical finance and financial engineering. Presenting state-of-the-art developments in theory and practice, the book has real-world applications to fixed income models, credit risk models, CDO pricing, tax rebates, tax arbitrage, and tax equilibrium. It is a valuable resource for graduate students, researchers, and practitioners in mathematical finance and financial engineering.

Pricing Derivative Securities

Author : T. W. Epps
Publisher : World Scientific
ISBN 13 : 9812700331
Total Pages : 644 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Pricing Derivative Securities by : T. W. Epps

Download or read book Pricing Derivative Securities written by T. W. Epps and published by World Scientific. This book was released on 2007 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents techniques for valuing derivative securities at a level suitable for practitioners, students in doctoral programs in economics and finance, and those in masters-level programs in financial mathematics and computational finance. It provides the necessary mathematical tools from analysis, probability theory, the theory of stochastic processes, and stochastic calculus, making extensive use of examples. It also covers pricing theory, with emphasis on martingale methods. The chapters are organized around the assumptions made about the dynamics of underlying price processes. Readers begin with simple, discrete-time models that require little mathematical sophistication, proceed to the basic Black-Scholes theory, and then advance to continuous-time models with multiple risk sources. The second edition takes account of the major developments in the field since 2000. New topics include the use of simulation to price American-style derivatives, a new one-step approach to pricing options by inverting characteristic functions, and models that allow jumps in volatility and Markov-driven changes in regime. The new chapter on interest-rate derivatives includes extensive coverage of the LIBOR market model and an introduction to the modeling of credit risk. As a supplement to the text, the book contains an accompanying CD-ROM with user-friendly FORTRAN, C++, and VBA program components.

Neoclassical Finance

Author : Stephen A. Ross
Publisher : Princeton University Press
ISBN 13 : 1400830206
Total Pages : 120 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Neoclassical Finance by : Stephen A. Ross

Download or read book Neoclassical Finance written by Stephen A. Ross and published by Princeton University Press. This book was released on 2009-04-11 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neoclassical Finance provides a concise and powerful account of the underlying principles of modern finance, drawing on a generation of theoretical and empirical advances in the field. Stephen Ross developed the no arbitrage principle, tying asset pricing to the simple proposition that there are no free lunches in financial markets, and jointly with John Cox he developed the related concept of risk-neutral pricing. In this book Ross makes a strong case that these concepts are the fundamental pillars of modern finance and, in particular, of market efficiency. In an efficient market prices reflect the information possessed by the market and, as a consequence, trading schemes using commonly available information to beat the market are doomed to fail. By stark contrast, the currently popular stance offered by behavioral finance, fueled by a number of apparent anomalies in the financial markets, regards market prices as subject to the psychological whims of investors. But without any appeal to psychology, Ross shows that neoclassical theory provides a simple and rich explanation that resolves many of the anomalies on which behavioral finance has been fixated. Based on the inaugural Princeton Lectures in Finance, sponsored by the Bendheim Center for Finance of Princeton University, this elegant book represents a major contribution to the ongoing debate on market efficiency, and serves as a useful primer on the fundamentals of finance for both scholars and practitioners.

Dynamic Asset Pricing Theory

Author : Darrell Duffie
Publisher : Princeton University Press
ISBN 13 : 1400829208
Total Pages : 488 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Dynamic Asset Pricing Theory by : Darrell Duffie

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.

The Economics of Continuous-Time Finance

Author : Bernard Dumas
Publisher : MIT Press
ISBN 13 : 0262036541
Total Pages : 641 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis The Economics of Continuous-Time Finance by : Bernard Dumas

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.

The Mathematics of Arbitrage

Author : Freddy Delbaen
Publisher : Springer Science & Business Media
ISBN 13 : 9783540312994
Total Pages : 371 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis The Mathematics of Arbitrage by : Freddy Delbaen

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.

Liquidity and Asset Prices

Author : Yakov Amihud
Publisher : Now Publishers Inc
ISBN 13 : 1933019123
Total Pages : 109 pages
Book Rating : 4.9/5 (33 download)

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Book Synopsis Liquidity and Asset Prices by : Yakov Amihud

Download or read book Liquidity and Asset Prices written by Yakov Amihud and published by Now Publishers Inc. This book was released on 2006 with total page 109 pages. Available in PDF, EPUB and Kindle. Book excerpt: Liquidity and Asset Prices reviews the literature that studies the relationship between liquidity and asset prices. The authors review the theoretical literature that predicts how liquidity affects a security's required return and discuss the empirical connection between the two. Liquidity and Asset Prices surveys the theory of liquidity-based asset pricing followed by the empirical evidence. The theory section proceeds from basic models with exogenous holding periods to those that incorporate additional elements of risk and endogenous holding periods. The empirical section reviews the evidence on the liquidity premium for stocks, bonds, and other financial assets.

Financial Asset Pricing Theory

Author : Claus Munk
Publisher : Oxford University Press, USA
ISBN 13 : 0199585490
Total Pages : 598 pages
Book Rating : 4.1/5 (995 download)

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Book Synopsis Financial Asset Pricing Theory by : Claus Munk

Download or read book Financial Asset Pricing Theory written by Claus Munk and published by Oxford University Press, USA. This book was released on 2013-04-18 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Techniques In Finance

Author : Aleš Černý
Publisher :
ISBN 13 : 9788122417159
Total Pages : 0 pages
Book Rating : 4.4/5 (171 download)

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Book Synopsis Mathematical Techniques In Finance by : Aleš Černý

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.