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Existence and Uniqueness in the CAPM with a Riskless Asset

Existence and Uniqueness in the CAPM with a Riskless Asset
Author: Andreas Loeffler
Publisher:
Total Pages: 12
Release: 1997
Genre:
ISBN:

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In the standard CAPM with a riskless asset we give a simple proof of existence of equilibria without assuming concavity of the investor's utility functions. Moreover, we give a uniqueness result using assumptions on the risk aversion of investors.


Advanced Asset Pricing Theory

Advanced Asset Pricing Theory
Author: Ma Chenghu
Publisher: World Scientific Publishing Company
Total Pages: 816
Release: 2011-01-03
Genre: Business & Economics
ISBN: 1911299522

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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.


The Consequences of Short-Sale Constraints on the Stability of Financial Markets

The Consequences of Short-Sale Constraints on the Stability of Financial Markets
Author: Gevorg Hunanyan
Publisher: Springer Nature
Total Pages: 117
Release: 2019-10-05
Genre: Business & Economics
ISBN: 3658279567

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Gevorg Hunanyan develops a model that provides a comprehensive theoretical framework to study the consequences of short-sale constraints on the stability of financial markets. This model shows that overpricing of securities is solely attributable to the subjective second moment beliefs of investors. Thus, short-sale constraints prevent a market decline only if investors have low dispersion of beliefs, which in the model is embodied in the covariance matrix. Moreover, the author analyses the consequences of short-sale constraints on the investor’s portfolio selection, risk-taking behaviour as well as default probability. The author develops criteria that allow to analyse the effectiveness of short-sale constraints in reducing portfolio risk as well as default risk.


General Equilibrium Foundations of Finance

General Equilibrium Foundations of Finance
Author: Thorsten Hens
Publisher: Springer Science & Business Media
Total Pages: 313
Release: 2013-03-09
Genre: Business & Economics
ISBN: 1475753179

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The purpose of this book is to give a sound economic foundation of finance. Finance is a coherent branch of applied economics that is designed to understand financial markets in order to give advice for practical financial decisions. This book argues that for a sound economic foundation of finance the famous general equilibrium model which in its modern form emphasizes the incompleteness of financial markets is well suited. The aim of the book is to demonstrate that financial markets can be meaningfully embedded into a more general system of markets including, for example, commodity markets. The interaction of these markets can be described via the well known notion of a competitive equilibrium. We argue that for a sound foundation this competitive equilibrium should be unique. In a first step we demonstrate that this essential goal cannot of be achieved based only on the rationality principle, i. e. on the assumption utility maximization of some utility function subject to the budget constraint. In particular we show that this important lack of structure is disturbing as well for the case of mean-variance utility functions which are the basis of the Capital Asset Pricing Model, one of the cornerstones of finance. The final goal of our book is to give reasonable restrictions on the agents' utility functions which lead to a well determined financial markets model.


Financial Markets in Continuous Time

Financial Markets in Continuous Time
Author: Rose-Anne Dana
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2007-06-30
Genre: Mathematics
ISBN: 3540711503

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This book explains key financial concepts, mathematical tools and theories of mathematical finance. It is organized in four parts. The first brings together a number of results from discrete-time models. The second develops stochastic continuous-time models for the valuation of financial assets (the Black-Scholes formula and its extensions), for optimal portfolio and consumption choice, and for obtaining the yield curve and pricing interest rate products. The third part recalls some concepts and results of equilibrium theory and applies this in financial markets. The last part tackles market incompleteness and the valuation of exotic options.


Handbook of Financial Markets: Dynamics and Evolution

Handbook of Financial Markets: Dynamics and Evolution
Author: Thorsten Hens
Publisher: Elsevier
Total Pages: 607
Release: 2009-06-12
Genre: Business & Economics
ISBN: 0080921434

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The models of portfolio selection and asset price dynamics in this volume seek to explain the market dynamics of asset prices. Presenting a range of analytical, empirical, and numerical techniques as well as several different modeling approaches, the authors depict the state of debate on the market selection hypothesis. By explicitly assuming the heterogeneity of investors, they present models that are descriptive and normative as well, making the volume useful for both finance theorists and financial practitioners. Explains the market dynamics of asset prices, offering insights about asset management approaches Assumes a heterogeneity of investors that yields descriptive and normative models of portfolio selections and asset pricing dynamics