A Simple Theory of Asset Pricing Under Model Uncertainty PDF Download
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Languages : en
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Author:
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Languages : en
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Author: Lue Wu
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Languages : en
Pages : 178
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Author: Erhan Bayraktar
Publisher:
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Languages : en
Pages : 24
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Book Description
We prove the Fundamental Theorem of Asset Pricing for a discrete time financial market where trading is subject to proportional transaction cost and the asset price dynamic is modeled by a family of probability measures, possibly non-dominated.Using a backward-forward scheme, we show that when the market consists of a money market account and a single stock, no-arbitrage in a quasi-sure sense is equivalent to the existence of a suitable family of consistent price systems. We also show that when the market consists of multiple dynamically traded assets and satisfies efficient friction, strict no-arbitrage in a quasi-sure sense is equivalent to the existence of a suitable family of strictly consistent price systems.
Author: Haim Levy
Publisher: Cambridge University Press
ISBN: 1139503022
Category : Business & Economics
Languages : en
Pages : 457
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Book Description
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.
Author: Doriana Ruffino
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Languages : en
Pages :
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Author: Erhan Bayraktar
Publisher:
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Category :
Languages : en
Pages : 9
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We show that the results of the Fundamental Theorem of Asset Pricing and the super-hedging theorem can be extended to the case in which the options available for static hedging (hedging options) are quoted with bid-ask spreads. In this set-up, we need to work with the notion of robust no-arbitrage which turns out to be equivalent to no-arbitrage under the additional assumption that hedging options with non-zero spread are non-redundant. A key result is the closedness of the set of attainable claims, which requires a new proof in our setting.
Author: Darrell Duffie
Publisher: Princeton University Press
ISBN: 1400829208
Category : Business & Economics
Languages : en
Pages : 488
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Book Description
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: Darrell Duffie
Publisher:
ISBN: 9780691043029
Category : Capital assets pricing model
Languages : en
Pages : 299
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Book Description
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.
Author: Itzhak Gilboa
Publisher: Taylor & Francis
ISBN: 1134344163
Category : Business & Economics
Languages : en
Pages : 577
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Book Description
This volume brings together important papers, coupled with new introductions, in the massively influential area of uncertainty in economic theory. Seminal papers are available together for the first time in book format, with new introductions and under the steely editorship of Itzhak Gilboa - this book is a useful reference tool for economists all over the globe.
Author: Claus Munk
Publisher: Oxford University Press, USA
ISBN: 0199585490
Category : Business & Economics
Languages : en
Pages : 598
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Book Description
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.
