Continuous Time Asset Pricing Theory

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Continuous-Time Asset Pricing Theory

Robert A. Jarrow
Continuous Time Asset Pricing Theory Book PDF

Author : Robert A. Jarrow
Publisher : Springer Nature
Page : 470 pages
File Size : 45,7 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.

Financial Asset Pricing Theory

Claus Munk
Financial Asset Pricing Theory Book PDF

Author : Claus Munk
Publisher : Oxford University Press, USA
Page : 598 pages
File Size : 46,6 Mb
Release : 2013-04-18
Category : Business & Economics
ISBN : 9780199585496

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Financial Asset Pricing Theory by Claus Munk Pdf

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.

Dynamic Asset Pricing Theory

Darrell Duffie
Dynamic Asset Pricing Theory Book PDF

Author : Darrell Duffie
Publisher : Princeton University Press
Page : 488 pages
File Size : 44,8 Mb
Release : 2010-01-27
Category : Business & Economics
ISBN : 9781400829200

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Dynamic Asset Pricing Theory by Darrell Duffie Pdf

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.

Arbitrage Theory in Continuous Time

Tomas Björk
Arbitrage Theory in Continuous Time Book PDF

Author : Tomas Björk
Publisher : OUP Oxford
Page : 600 pages
File Size : 51,9 Mb
Release : 2009-08-06
Category : Business & Economics
ISBN : 9780191610295

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Arbitrage Theory in Continuous Time by Tomas Björk Pdf

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.

Advanced Asset Pricing Theory

Ma Chenghu
Advanced Asset Pricing Theory Book PDF

Author : Ma Chenghu
Publisher : World Scientific Publishing Company
Page : 816 pages
File Size : 53,7 Mb
Release : 2011-01-03
Category : Business & Economics
ISBN : 9781911299523

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Advanced Asset Pricing Theory by Ma Chenghu Pdf

This book provides a broad introduction of modern asset pricing theory with equal treatments for both discrete-time and continuous-time modeling. Both the no-arbitrage and the general equilibrium approaches of asset pricing theory are treated coherently within the general equilibrium framework.The analyses and coverage are up to date, comprehensive and in-depth. Topics include microeconomic foundation of asset pricing theory, the no-arbitrage principle and fundamental theorem, risk measurement and risk management, sequential portfolio choice, equity premium decomposition, option pricing, bond pricing and term structure of interest rates. The merits and limitations are expounded with respect to allocation and information market efficiency, along with the classical expectations hypothesis concerning the information content of yield curve and bond prices. Efforts are also made towards the resolution of several well-documented puzzles in empirical finance, which include the equity premium puzzle, the risk free rate puzzle, and the money-ness bias phenomenon of Black-Scholes option pricing model.The theory is self-contained and unified in presentation. The inclusion of proofs and derivations to enhance the transparency of the underlying arguments and conditions for the validity of the economic theory makes an ideal advanced textbook or reference book for graduate students specializing in financial economics and quantitative finance. The explanations are detailed enough to capture the interest of those curious readers, and complete enough to provide necessary background material needed to explore further the subject and research literature.

Asset Pricing

John H. Cochrane
Asset Pricing Book PDF

Author : John H. Cochrane
Publisher : Princeton University Press
Page : 560 pages
File Size : 55,5 Mb
Release : 2009-04-11
Category : Business & Economics
ISBN : 9781400829132

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Asset Pricing by John H. Cochrane Pdf

Winner of the prestigious Paul A. Samuelson Award for scholarly writing on lifelong financial security, John Cochrane's Asset Pricing now appears in a revised edition that unifies and brings the science of asset pricing up to date for advanced students and professionals. Cochrane traces the pricing of all assets back to a single idea--price equals expected discounted payoff--that captures the macro-economic risks underlying each security's value. By using a single, stochastic discount factor rather than a separate set of tricks for each asset class, Cochrane builds a unified account of modern asset pricing. He presents applications to stocks, bonds, and options. Each model--consumption based, CAPM, multifactor, term structure, and option pricing--is derived as a different specification of the discounted factor. The discount factor framework also leads to a state-space geometry for mean-variance frontiers and asset pricing models. It puts payoffs in different states of nature on the axes rather than mean and variance of return, leading to a new and conveniently linear geometrical representation of asset pricing ideas. Cochrane approaches empirical work with the Generalized Method of Moments, which studies sample average prices and discounted payoffs to determine whether price does equal expected discounted payoff. He translates between the discount factor, GMM, and state-space language and the beta, mean-variance, and regression language common in empirical work and earlier theory. The book also includes a review of recent empirical work on return predictability, value and other puzzles in the cross section, and equity premium puzzles and their resolution. Written to be a summary for academics and professionals as well as a textbook, this book condenses and advances recent scholarship in financial economics.

The Economics of Continuous-Time Finance

Bernard Dumas,Elisa Luciano
The Economics of Continuous Time Finance Book PDF

Author : Bernard Dumas,Elisa Luciano
Publisher : MIT Press
Page : 641 pages
File Size : 55,8 Mb
Release : 2017-10-27
Category : Business & Economics
ISBN : 9780262036542

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The Economics of Continuous-Time Finance by Bernard Dumas,Elisa Luciano Pdf

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.

Asset Pricing Theory

Costis Skiadas
Asset Pricing Theory Book PDF

Author : Costis Skiadas
Publisher : Princeton University Press
Page : 368 pages
File Size : 41,5 Mb
Release : 2009-02-09
Category : Business & Economics
ISBN : 9781400830145

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Asset Pricing Theory by Costis Skiadas Pdf

Asset Pricing Theory is an advanced textbook for doctoral students and researchers that offers a modern introduction to the theoretical and methodological foundations of competitive asset pricing. Costis Skiadas develops in depth the fundamentals of arbitrage pricing, mean-variance analysis, equilibrium pricing, and optimal consumption/portfolio choice in discrete settings, but with emphasis on geometric and martingale methods that facilitate an effortless transition to the more advanced continuous-time theory. Among the book's many innovations are its use of recursive utility as the benchmark representation of dynamic preferences, and an associated theory of equilibrium pricing and optimal portfolio choice that goes beyond the existing literature. Asset Pricing Theory is complete with extensive exercises at the end of every chapter and comprehensive mathematical appendixes, making this book a self-contained resource for graduate students and academic researchers, as well as mathematically sophisticated practitioners seeking a deeper understanding of concepts and methods on which practical models are built. Covers in depth the modern theoretical foundations of competitive asset pricing and consumption/portfolio choice Uses recursive utility as the benchmark preference representation in dynamic settings Sets the foundations for advanced modeling using geometric arguments and martingale methodology Features self-contained mathematical appendixes Includes extensive end-of-chapter exercises

Asset Pricing

T. Kariya,Regina Liu
Asset Pricing Book PDF

Author : T. Kariya,Regina Liu
Publisher : Springer Science & Business Media
Page : 275 pages
File Size : 48,9 Mb
Release : 2011-06-27
Category : Business & Economics
ISBN : 9781441992307

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Asset Pricing by T. Kariya,Regina Liu Pdf

1. Main Goals The theory of asset pricing has grown markedly more sophisticated in the last two decades, with the application of powerful mathematical tools such as probability theory, stochastic processes and numerical analysis. The main goal of this book is to provide a systematic exposition, with practical appli cations, of the no-arbitrage theory for asset pricing in financial engineering in the framework of a discrete time approach. The book should also serve well as a textbook on financial asset pricing. It should be accessible to a broad audi ence, in particular to practitioners in financial and related industries, as well as to students in MBA or graduate/advanced undergraduate programs in finance, financial engineering, financial econometrics, or financial information science. The no-arbitrage asset pricing theory is based on the simple and well ac cepted principle that financial asset prices are instantly adjusted at each mo ment in time in order not to allow an arbitrage opportunity. Here an arbitrage opportunity is an opportunity to have a portfolio of value aat an initial time lead to a positive terminal value with probability 1 (equivalently, at no risk), with money neither added nor subtracted from the portfolio in rebalancing dur ing the investment period. It is necessary for a portfolio of valueato include a short-sell position as well as a long-buy position of some assets.

Asset Pricing and Portfolio Choice Theory

Kerry Back
Asset Pricing and Portfolio Choice Theory Book PDF

Author : Kerry Back
Publisher : Oxford University Press
Page : 504 pages
File Size : 41,9 Mb
Release : 2010-09-10
Category : Business & Economics
ISBN : 9780199939077

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Asset Pricing and Portfolio Choice Theory by Kerry Back Pdf

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.

Dynamic Asset Pricing Theory

Darrell Duffie
Dynamic Asset Pricing Theory Book PDF

Author : Darrell Duffie
Publisher : Unknown
Page : 299 pages
File Size : 47,8 Mb
Release : 1992
Category : Capital assets pricing model
ISBN : 0691043027

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Dynamic Asset Pricing Theory by Darrell Duffie Pdf

Dynamic Asset Pricing Theory is a textbook 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. For simplicity, all continuous-time models are based on Brownian motion. Examples include the Black-Scholes option-pricing model, Lucas's single-agent Markov asset pricing model, Merton's problem of optimal portfolio and consumption choice in a continuous-time setting, the Harrison-Kreps theory of equivalent martingale measures, Breeden's consumption-based capital asset pricing model, and the term-structure model of Cox, Ingersoll, and Ross. Numerical solution techniques include "binomial" methods, Monte Carlo simulation, and finite-difference methods for solving partial differential equations. Each chapter provides extensive problem exercises and notes to the literature.

Asset Pricing and Portfolio Choice Theory

Kerry E. Back
Asset Pricing and Portfolio Choice Theory Book PDF

Author : Kerry E. Back
Publisher : Oxford University Press
Page : 608 pages
File Size : 44,5 Mb
Release : 2017-01-04
Category : Business & Economics
ISBN : 9780190241155

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Asset Pricing and Portfolio Choice Theory by Kerry E. Back Pdf

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.

Arbitrage Theory in Continuous Time

Tomas Bjork
Arbitrage Theory in Continuous Time Book PDF

Author : Tomas Bjork
Publisher : Oxford University Press, USA
Page : 584 pages
File Size : 46,6 Mb
Release : 2020-01-16
Category : Arbitrage
ISBN : 9780198851615

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Arbitrage Theory in Continuous Time by Tomas Bjork Pdf

The fourth edition of this widely used textbook on pricing and hedging of financial derivatives now also includes dynamic equilibrium theory and continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous time arbitrage pricing of financial derivatives, including stochastic optimal control theory and optimal stopping theory, Arbitrage Theory in Continuous Time is designed for graduate students in economics and mathematics, and combines the 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. All concepts and ideas are discussed, not only from a mathematics point of view, but with lots of intuitive economic arguments. In the substantially extended fourth edition Tomas Bjork has added completely new chapters on incomplete markets, treating such topics as the Esscher transform, the minimal martingale measure, f-divergences, optimal investment theory for incomplete markets, and good deal bounds. This edition includes an entirely new section presenting dynamic equilibrium theory, covering unit net supply endowments models and the Cox-Ingersoll-Ross equilibrium factor model. Providing two full treatments of arbitrage theory-the classical delta hedging approach and the modern martingale approach-this book is written so that these approaches can be studied independently of each other, thus providing the less mathematically-oriented reader with a self-contained introduction to arbitrage theory and equilibrium theory, while at the same time allowing the more advanced student to see the full theory in action. This textbook is a natural choice for graduate students and advanced undergraduates studying finance and an invaluable introduction to mathematical finance for mathematicians and professionals in the market.

Asset Pricing

Bing Cheng
Asset Pricing Book PDF

Author : Bing Cheng
Publisher : World Scientific
Page : 91 pages
File Size : 43,9 Mb
Release : 2008
Category : Business & Economics
ISBN : 9789812832504

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Asset Pricing by Bing Cheng Pdf

Modern asset pricing models play a central role in finance and economic theory and applications. This book introduces a structural theory to evaluate these asset pricing models and throws light on the existence of Equity Premium Puzzle. Based on the structural theory, some algebraic (valuation-preserving) operations are developed in asset spaces and pricing kernel spaces. This has a very important implication leading to practical guidance in portfolio management and asset allocation in the global financial industry. The book also covers topics, such as the role of over-confidence in asset pricing modeling, relationship of the portfolio insurance with option and consumption-based asset pricing models, etc.

The Capital Asset Pricing Model in the 21st Century

Haim Levy
The Capital Asset Pricing Model in the 21st Century Book PDF

Author : Haim Levy
Publisher : Cambridge University Press
Page : 457 pages
File Size : 41,7 Mb
Release : 2011-10-30
Category : Business & Economics
ISBN : 9781139503020

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The Capital Asset Pricing Model in the 21st Century by Haim Levy Pdf

The Capital Asset Pricing Model (CAPM) and the mean-variance (M-V) rule, which are based on classic expected utility theory, have been heavily criticized theoretically and empirically. The advent of behavioral economics, prospect theory and other psychology-minded approaches in finance challenges the rational investor model from which CAPM and M-V derive. Haim Levy argues that the tension between the classic financial models and behavioral economics approaches is more apparent than real. This book aims to relax the tension between the two paradigms. Specifically, Professor Levy shows that although behavioral economics contradicts aspects of expected utility theory, CAPM and M-V are intact in both expected utility theory and cumulative prospect theory frameworks. There is furthermore no evidence to reject CAPM empirically when ex-ante parameters are employed. Professionals may thus comfortably teach and use CAPM and behavioral economics or cumulative prospect theory as coexisting paradigms.