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Multi-moment Asset Allocation and Pricing Models

Multi-moment Asset Allocation and Pricing Models
Author: Emmanuel Jurczenko
Publisher: John Wiley & Sons
Total Pages: 258
Release: 2006-10-02
Genre: Business & Economics
ISBN: 0470057998

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While mainstream financial theories and applications assume that asset returns are normally distributed and individual preferences are quadratic, the overwhelming empirical evidence shows otherwise. Indeed, most of the asset returns exhibit “fat-tails” distributions and investors exhibit asymmetric preferences. These empirical findings lead to the development of a new area of research dedicated to the introduction of higher order moments in portfolio theory and asset pricing models. Multi-moment asset pricing is a revolutionary new way of modeling time series in finance which allows various degrees of long-term memory to be generated. It allows risk and prices of risk to vary through time enabling the accurate valuation of long-lived assets. This book presents the state-of-the art in multi-moment asset allocation and pricing models and provides many new developments in a single volume, collecting in a unified framework theoretical results and applications previously scattered throughout the financial literature. The topics covered in this comprehensive volume include: four-moment individual risk preferences, mathematics of the multi-moment efficient frontier, coherent asymmetric risks measures, hedge funds asset allocation under higher moments, time-varying specifications of (co)moments and multi-moment asset pricing models with homogeneous and heterogeneous agents. Written by leading academics, Multi-moment Asset Allocation and Pricing Models offers a unique opportunity to explore the latest findings in this new field of research.


Zero-Beta CAPM with Heterogeneous Beliefs

Zero-Beta CAPM with Heterogeneous Beliefs
Author: Xuezhong He
Publisher:
Total Pages: 35
Release: 2008
Genre:
ISBN:

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This paper extends the standard Black's zero-beta CAPM with homogeneous beliefs to the case with heterogeneous beliefs in terms of risk aversion coefficients, expected payoffs, and variance/covariance matrices of the payoffs of risky assets among heterogeneous agents within the mean-variance framework. Investors are bounded rational in the sense that they make their optimal decision based on their beliefs. By introducing and constructing a consensus belief of the market, we obtain equilibrium prices of risky assets and show that Black's zero-beta CAPM holds under the consensus belief. Various impacts of heterogeneity on the market equilibrium and agents' optimal portfolios are analyzed. In particular, we show that under market aggregation, the biased belief (from the market belief) of investors makes the optimal portfolio of the investor be mean-variance inefficient while the market portfolio is always on the efficient frontier. This demonstrates that, within this framework, bounded rational investors may never achieve their mean-variance efficiency under aggregation. At the same time, the efficiency of the whole market, measured by the efficiency of the market portfolio, can be achieved. The results also shed a light on the empirical finding that managed funds under-perform comparing to the market indices on average.


Heterogeneity and Persistence in Returns to Wealth

Heterogeneity and Persistence in Returns to Wealth
Author: Andreas Fagereng
Publisher: International Monetary Fund
Total Pages: 69
Release: 2018-07-27
Genre: Business & Economics
ISBN: 1484370066

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We provide a systematic analysis of the properties of individual returns to wealth using twelve years of population data from Norway’s administrative tax records. We document a number of novel results. First, during our sample period individuals earn markedly different average returns on their financial assets (a standard deviation of 14%) and on their net worth (a standard deviation of 8%). Second, heterogeneity in returns does not arise merely from differences in the allocation of wealth between safe and risky assets: returns are heterogeneous even within asset classes. Third, returns are positively correlated with wealth: moving from the 10th to the 90th percentile of the financial wealth distribution increases the return by 3 percentage points - and by 17 percentage points when the same exercise is performed for the return to net worth. Fourth, wealth returns exhibit substantial persistence over time. We argue that while this persistence partly reflects stable differences in risk exposure and assets scale, it also reflects persistent heterogeneity in sophistication and financial information, as well as entrepreneurial talent. Finally, wealth returns are (mildly) correlated across generations. We discuss the implications of these findings for several strands of the wealth inequality debate.


Partial- Vs. General-equilibrium Models of the International Capital Market

Partial- Vs. General-equilibrium Models of the International Capital Market
Author: Bernard Dumas
Publisher:
Total Pages: 72
Release: 1993
Genre: Capital market
ISBN:

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In this essay, I discuss and compare two ways of modeling international capital market equilibrium: the orthodox, general-equilibrium approach and the heterodox, partial-equilibrium CAPM (Capital Asset Pricing Model) approach. The benchmark for this comparison is the model's ability to provide an explanation for, or take into account, a number of stylized facts of international finance: UIRP deviations, home-equity preference, PPP deviations and their persistence, consumption behavior in relation to wealth. In addition, I ask which approach is more likely in future research to help us identify the relevant state variables of the economy. None of the models satisfactorily explains the stylized facts but the CAPM approach affords the most productive avenue for empirical research in the immediate future.


Pricing Liquidity Risk with Heterogeneous Investment Horizons

Pricing Liquidity Risk with Heterogeneous Investment Horizons
Author: Alessandro Beber
Publisher:
Total Pages: 0
Release: 2011
Genre: Investments
ISBN:

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We develop a liquidity-based asset pricing model featuring investors with heterogeneous investment horizons and stochastic transaction costs. In an equilibrium where all investors invest in all assets (integration), we find that the existence of investors with heterogeneous horizons, as opposed to homogeneous horizons, reduces the importance of liquidity risk relative to the standard CAPM market risk and generates a more complex effect of expected liquidity. In an equilibrium where short-term investors do not invest in some more illiquid assets (partial segmentation), our model generates an additional segmentation premium for these assets. We estimate the model for the cross-section of U.S. stocks using GMM and find that our heterogeneous-horizon asset pricing model fares better than a standard liquidity-adjusted CAPM. The segmented version of our model delivers the best cross-sectional fit and generates a substantial effect of expected liquidity on expected returns.


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


Asset Pricing and Portfolio Choice Theory

Asset Pricing and Portfolio Choice Theory
Author: Kerry Back
Publisher: Oxford University Press
Total Pages: 504
Release: 2010-09-10
Genre: Business & Economics
ISBN: 0199939071

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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.