Asset Pricing With Heterogeneous Risk Aversion and Portfolio Constraints

Asset Pricing With Heterogeneous Risk Aversion and Portfolio Constraints
Author: Suhas Saha
Publisher:
Total Pages: 57
Release: 2007
Genre:
ISBN:

This paper analyzes the effects of portfolio constraints on asset returns and volatility. Portfolio constraints may arise due to minimum capital requirement regulations, margin requirements or leverage constraints on portfolio managers. We analyze how cross-sectional heterogeneity in preferences affect the equilibrium stock price, returns and volatility in the presence of portfolio constraints. We show that portfolio constraints can simultaneously produce high equity Sharpe ratio and low interest rates in equilibrium. Moreover, the stock returns volatility decreases when the constraint binds. The negative effect of the constraint on stock returns volatility is most pronounced when the constraint binds in the bad state of the economy and the unconstrained investor is poorer than the constrained investor. In our model the constraint binds more frequently in the bad states of the economy. Given the empirical evidence in support of the stylized fact that stock returns volatility is counter-cyclical, our findings therefore suggest that margin requirements are indeed effective in mitigating the wild fluctuations in the stock market volatility when prices go low. We also perform a welfare analysis and show that the unconstrained investor is made better off while the constrained is worse off when the constraint binds.

Asset Pricing with Heterogeneous Preferences, Beliefs, and Portfolio Constraints

Asset Pricing with Heterogeneous Preferences, Beliefs, and Portfolio Constraints
Author: Georgy Chabakauri
Publisher:
Total Pages: 42
Release: 2015
Genre:
ISBN:

Portfolio constraints are widespread and have significant effects on asset prices. This paper studies the effects of constraints in a dynamic economy populated by investors with different risk aversions and beliefs about the rate of economic growth. The paper provides a comparison of various constraints and conditions under which these constraints help match certain empirical facts about asset prices. Under these conditions, borrowing and short-sale constraints decrease stock return volatilities, whereas limited stock market participation constraints amplify them. Moreover, borrowing constraints generate spikes in interest rates and volatilities and have stronger effects on asset prices than short-sale constraints.

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

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.

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

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.

Asset Pricing with Heterogeneous and Constrained Investors

Asset Pricing with Heterogeneous and Constrained Investors
Author: Lei Shi
Publisher:
Total Pages: 40
Release: 2019
Genre:
ISBN:

We analyze the joint effect of borrowing and short-sale constraints in a dynamic economy populated by two constrained investors with heterogeneous risk aversions and beliefs. We find that equilibrium prices adjust in such a way that the constraints never simultaneously bind. When the constraints are tight, we observe a regime switch behavior (discontinuities) in the risk-free rate and market price of risk at a critical state, where two equilibria exist, i.e., either constraint can be binding. Stock return volatility is the lowest at the critical state. Imposing a ban on short-sales at the same time when access to credit is restrictive or tightening borrowing during a short-sale ban can potentially move the equilibrium away from the critical state, thus increase stock return volatility rather than reducing it.

Asset Pricing in General Equilibrium with Constraints

Asset Pricing in General Equilibrium with Constraints
Author: Georgy Chabakauri
Publisher:
Total Pages: 51
Release: 2010
Genre:
ISBN:

We evaluate the impact of portfolio constraints on financial markets in a dynamic equilibrium pure exchange economy with one consumption good and heterogeneous investors. Despite numerous applications, portfolio constraints are notoriously difficult to incorporate into dynamic equilibrium analysis unless constrained investors are assumed to have logarithmic preferences. Our solution method yields new insights on the impact of constraints on stock prices without relying on this assumption. We compute the equilibrium when both investors have (identical for simplicity) CRRA preferences, one of them is unconstrained while the other faces an upper bound constraint on the proportion of wealth invested in stocks. We show that tighter constraints lead to higher price-dividend ratios and lower stock-return volatilities when the intertemporal elasticity of substitution (IES) is less than one, and lower price-dividend ratios and higher volatilities when IES is greater than one. Moreover, in the latter case the model generates countercyclical market prices of risk and stock return volatilities, procyclical price-dividend ratios, excess volatility and other patterns consistent with empirical findings. Finally, the baseline analysis is extended to study the impact of various portfolio constraints when investors disagree on mean dividend growth rates. In particular, we explicitly characterize the equilibrium in the unconstrained benchmark economy as well as in the economy with unconstrained pessimist and optimist facing no-borrowing constraint.

Asset Pricing

Asset Pricing
Author: John H. Cochrane
Publisher: Princeton University Press
Total Pages: 560
Release: 2009-04-11
Genre: Business & Economics
ISBN: 1400829135

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.