Pricing In In Complete Markets

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Asset Pricing in Discrete Time

Author : Ser-Huang Poon,Richard Stapleton
Publisher : OUP Oxford
Page : 156 pages
File Size : 40,7 Mb
Release : 2005-01-13
Category : Business & Economics
ISBN : 9780191533891

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Asset Pricing in Discrete Time by Ser-Huang Poon,Richard Stapleton Pdf

Relying on the existence, in a complete market, of a pricing kernel, this book covers the pricing of assets, derivatives, and bonds in a discrete time, complete markets framework. It is primarily aimed at advanced Masters and PhD students in finance. — Covers asset pricing in a single period model, deriving a simple complete market pricing model and using Stein's lemma to derive a version of the Capital Asset Pricing Model. — Looks more deeply into some of the utility determinants of the pricing kernel, investigating in particular the effect of non-marketable background risks on the shape of the pricing kernel. — Derives the prices of European-style contingent claims, in particular call options, in a one-period model; derives the Black-Scholes model assuming a lognormal distribution for the asset and a pricing kernel with constant elasticity, and emphasizes the idea of a risk-neutral valuation relationship between the price of a contingent claim on an asset and the underlying asset price. — Extends the analysis to contingent claims on assets with non-lognormal distributions and considers the pricing of claims when risk-neutral valuation relationships do not exist. — Expands the treatment of asset pricing to a multi-period economy, deriving prices in a rational expectations equilibrium. — Uses the rational expectations framework to analyse the pricing of forward and futures contracts on assets and derivatives. — Analyses the pricing of bonds given stochastic interest rates, and then uses this methodology to model the drift of forward rates, and as a special case the drift of the forward London Interbank Offer Rate in the LIBOR Market Model.

Principles of Financial Economics

Author : Stephen F. LeRoy,Jan Werner
Publisher : Cambridge University Press
Page : 301 pages
File Size : 52,6 Mb
Release : 2001
Category : Business & Economics
ISBN : 9780521584340

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Principles of Financial Economics by Stephen F. LeRoy,Jan Werner Pdf

Financial economics, and the calculations of time and uncertainty derived from it, are playing an increasingly important role in non-finance areas, such as monetary and environmental economics. In this 2001 book, Professors Le Roy and Werner supply a rigorous yet accessible graduate-level introduction to this subfield of microeconomic theory and general equilibrium theory. Since students often find the link between financial economics and equilibrium theory hard to grasp, they devote less attention to purely financial topics such as calculation of derivatives, while aiming to make the connection explicit and clear in each stage of the exposition. Emphasis is placed on detailed study of two-date models, because almost all of the key ideas in financial economics can be developed in the two-date setting. In addition to rigorous analysis, substantial sections of discussion and examples are included to make the ideas readily understandable.

Advances in Mathematical Finance

Author : Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 51,8 Mb
Release : 2007-06-22
Category : Business & Economics
ISBN : 9780817645458

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Advances in Mathematical Finance by Michael C. Fu,Robert A. Jarrow,Ju-Yi Yen,Robert J Elliott Pdf

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.

Introduction to Option Pricing Theory

Author : Gopinath Kallianpur,Rajeeva L. Karandikar
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461205111

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Introduction to Option Pricing Theory by Gopinath Kallianpur,Rajeeva L. Karandikar Pdf

Since the appearance of seminal works by R. Merton, and F. Black and M. Scholes, stochastic processes have assumed an increasingly important role in the development of the mathematical theory of finance. This work examines, in some detail, that part of stochastic finance pertaining to option pricing theory. Thus the exposition is confined to areas of stochastic finance that are relevant to the theory, omitting such topics as futures and term-structure. This self-contained work begins with five introductory chapters on stochastic analysis, making it accessible to readers with little or no prior knowledge of stochastic processes or stochastic analysis. These chapters cover the essentials of Ito's theory of stochastic integration, integration with respect to semimartingales, Girsanov's Theorem, and a brief introduction to stochastic differential equations. Subsequent chapters treat more specialized topics, including option pricing in discrete time, continuous time trading, arbitrage, complete markets, European options (Black and Scholes Theory), American options, Russian options, discrete approximations, and asset pricing with stochastic volatility. In several chapters, new results are presented. A unique feature of the book is its emphasis on arbitrage, in particular, the relationship between arbitrage and equivalent martingale measures (EMM), and the derivation of necessary and sufficient conditions for no arbitrage (NA). {\it Introduction to Option Pricing Theory} is intended for students and researchers in statistics, applied mathematics, business, or economics, who have a background in measure theory and have completed probability theory at the intermediate level. The work lends itself to self-study, as well as to a one-semester course at the graduate level.

Dynamic Hedging

Author : Nassim Nicholas Taleb
Publisher : John Wiley & Sons
Page : 536 pages
File Size : 53,9 Mb
Release : 1997-01-14
Category : Business & Economics
ISBN : 0471152803

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Dynamic Hedging by Nassim Nicholas Taleb Pdf

Destined to become a market classic, Dynamic Hedging is the only practical reference in exotic options hedgingand arbitrage for professional traders and money managers Watch the professionals. From central banks to brokerages to multinationals, institutional investors are flocking to a new generation of exotic and complex options contracts and derivatives. But the promise of ever larger profits also creates the potential for catastrophic trading losses. Now more than ever, the key to trading derivatives lies in implementing preventive risk management techniques that plan for and avoid these appalling downturns. Unlike other books that offer risk management for corporate treasurers, Dynamic Hedging targets the real-world needs of professional traders and money managers. Written by a leading options trader and derivatives risk advisor to global banks and exchanges, this book provides a practical, real-world methodology for monitoring and managing all the risks associated with portfolio management. Nassim Nicholas Taleb is the founder of Empirica Capital LLC, a hedge fund operator, and a fellow at the Courant Institute of Mathematical Sciences of New York University. He has held a variety of senior derivative trading positions in New York and London and worked as an independent floor trader in Chicago. Dr. Taleb was inducted in February 2001 in the Derivatives Strategy Hall of Fame. He received an MBA from the Wharton School and a Ph.D. from University Paris-Dauphine.

Market-Consistent Prices

Author : Pablo Koch-Medina,Cosimo Munari
Publisher : Springer Nature
Page : 448 pages
File Size : 45,9 Mb
Release : 2020-07-16
Category : Mathematics
ISBN : 9783030397241

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Market-Consistent Prices by Pablo Koch-Medina,Cosimo Munari Pdf

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.

Theory of Incomplete Markets

Author : Michael Magill,Martine Quinzii
Publisher : MIT Press
Page : 566 pages
File Size : 42,5 Mb
Release : 2002
Category : Business & Economics
ISBN : 0262632543

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Theory of Incomplete Markets by Michael Magill,Martine Quinzii Pdf

Theory of incompl. markets/M. Magill, M. Quinzii. - V.1.

Indifference Pricing

Author : René Carmona
Publisher : Princeton University Press
Page : 427 pages
File Size : 43,6 Mb
Release : 2009-01-18
Category : Business & Economics
ISBN : 9780691138831

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Indifference Pricing by René Carmona Pdf

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

Neoclassical Finance

Author : Stephen A. Ross
Publisher : Princeton University Press
Page : 120 pages
File Size : 44,5 Mb
Release : 2009-04-11
Category : Business & Economics
ISBN : 9781400830206

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Neoclassical Finance by Stephen A. Ross Pdf

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.

Technical Analysis of the Financial Markets

Author : John J. Murphy
Publisher : Penguin
Page : 576 pages
File Size : 46,7 Mb
Release : 1999-01-01
Category : Business & Economics
ISBN : 9781101659199

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Technical Analysis of the Financial Markets by John J. Murphy Pdf

John J. Murphy has now updated his landmark bestseller Technical Analysis of the Futures Markets, to include all of the financial markets. This outstanding reference has already taught thousands of traders the concepts of technical analysis and their application in the futures and stock markets. Covering the latest developments in computer technology, technical tools, and indicators, the second edition features new material on candlestick charting, intermarket relationships, stocks and stock rotation, plus state-of-the-art examples and figures. From how to read charts to understanding indicators and the crucial role technical analysis plays in investing, readers gain a thorough and accessible overview of the field of technical analysis, with a special emphasis on futures markets. Revised and expanded for the demands of today's financial world, this book is essential reading for anyone interested in tracking and analyzing market behavior.

Pricing in (In)Complete Markets

Author : Angelika Esser
Publisher : Springer Science & Business Media
Page : 127 pages
File Size : 49,7 Mb
Release : 2012-08-27
Category : Business & Economics
ISBN : 9783642170652

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Pricing in (In)Complete Markets by Angelika Esser Pdf

In this book, the authors investigate structural aspects of no arbitrage pricing of contingent claims and applications of the general pricing theory in the context of incomplete markets. A quasi-closed form pricing equation in terms of artificial probabilities is derived for arbitrary payoff structures. Moreover, a comparison between continuous and discrete models is presented, highlighting the major similarities and key differences. As applications, two sources of market incompleteness are considered, namely stochastic volatility and stochastic liquidity. Firstly, the general theory discussed before is applied to the pricing of power options in a stochastic volatility model. Secondly, the issue of liquidity risk is considered by focusing on the aspect of how asset price dynamics are affected by the trading strategy of a large investor.

Asset Pricing and Portfolio Choice Theory

Author : Kerry Back
Publisher : Financial Management Associati
Page : 504 pages
File Size : 55,6 Mb
Release : 2010
Category : Business & Economics
ISBN : 9780195380613

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Asset Pricing and Portfolio Choice Theory by Kerry Back Pdf

This book is intended as a textbook for Ph.D. students in finance and as a reference book for academics. It is written at an introductory level but includes detailed proofs and calculations as section appendices. It covers the classical results on single-period, discrete-time, and continuous-time models. It also treats various proposed explanations for the equity premium and risk-free rate puzzles: persistent heterogeneous idiosyncratic risks, internal habits, external habits, and recursive utility. Most of the book assumes rational behavior, but two topics important for behavioral finance are covered: heterogeneous beliefs and non-expected-utility preferences. There are also chapters on asymmetric information and production models. The book includes numerous exercises designed to provide practice with the concepts and also to introduce additional results. Each chapter concludes with a notes and references section that supplies references to additional developments in the field.

An Introduction to Financial Markets

Author : Paolo Brandimarte
Publisher : John Wiley & Sons
Page : 784 pages
File Size : 55,8 Mb
Release : 2018-02-22
Category : Mathematics
ISBN : 9781118594667

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An Introduction to Financial Markets by Paolo Brandimarte Pdf

COVERS THE FUNDAMENTAL TOPICS IN MATHEMATICS, STATISTICS, AND FINANCIAL MANAGEMENT THAT ARE REQUIRED FOR A THOROUGH STUDY OF FINANCIAL MARKETS This comprehensive yet accessible book introduces students to financial markets and delves into more advanced material at a steady pace while providing motivating examples, poignant remarks, counterexamples, ideological clashes, and intuitive traps throughout. Tempered by real-life cases and actual market structures, An Introduction to Financial Markets: A Quantitative Approach accentuates theory through quantitative modeling whenever and wherever necessary. It focuses on the lessons learned from timely subject matter such as the impact of the recent subprime mortgage storm, the collapse of LTCM, and the harsh criticism on risk management and innovative finance. The book also provides the necessary foundations in stochastic calculus and optimization, alongside financial modeling concepts that are illustrated with relevant and hands-on examples. An Introduction to Financial Markets: A Quantitative Approach starts with a complete overview of the subject matter. It then moves on to sections covering fixed income assets, equity portfolios, derivatives, and advanced optimization models. This book’s balanced and broad view of the state-of-the-art in financial decision-making helps provide readers with all the background and modeling tools needed to make “honest money” and, in the process, to become a sound professional. Stresses that gut feelings are not always sufficient and that “critical thinking” and real world applications are appropriate when dealing with complex social systems involving multiple players with conflicting incentives Features a related website that contains a solution manual for end-of-chapter problems Written in a modular style for tailored classroom use Bridges a gap for business and engineering students who are familiar with the problems involved, but are less familiar with the methodologies needed to make smart decisions An Introduction to Financial Markets: A Quantitative Approach offers a balance between the need to illustrate mathematics in action and the need to understand the real life context. It is an ideal text for a first course in financial markets or investments for business, economic, statistics, engi­neering, decision science, and management science students.

Continuous-Time Asset Pricing Theory

Author : Robert A. Jarrow
Publisher : Springer Nature
Page : 470 pages
File Size : 54,5 Mb
Release : 2021-07-30
Category : Business & Economics
ISBN : 9783030744106

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Continuous-Time Asset Pricing Theory by Robert A. Jarrow Pdf

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.

A Complete Guide to the Futures Markets

Author : Jack D. Schwager
Publisher : John Wiley & Sons
Page : 774 pages
File Size : 51,8 Mb
Release : 1984-06-29
Category : Business & Economics
ISBN : 0471893765

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A Complete Guide to the Futures Markets by Jack D. Schwager Pdf

A new edition will be available in January 2017 Focusing on price-forecasting in the commodity futures market, this is the most comprehensive examination of fundamental and technical analysis available. Treats both approaches in depth, with forecasting examined in conjunction with practical trading considerations.