General Equilibrium Continuous Time Asset Pricing In The Presence Of 1 Portfolio Insurers And 2 Non Price Taking Investors PDF Download

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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:

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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.


Continuous-Time Asset Pricing Theory

Continuous-Time Asset Pricing Theory
Author: Robert A. Jarrow
Publisher: Springer
Total Pages: 457
Release: 2018-06-04
Genre: Mathematics
ISBN: 3319778218

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Yielding new insights into important market phenomena like asset price bubbles and trading constraints, this is the first textbook to present asset pricing theory using the martingale approach (and all of its extensions). Since the 1970s asset pricing theory has been studied, refined, and extended, and many different approaches can be used to present this material. Existing PhD–level books on this topic are aimed at either economics and business school students or mathematics students. While the first mostly ignore much of the research done in mathematical finance, the second emphasizes mathematical finance but does not focus on the topics of most relevance to economics and business school students. These topics are derivatives pricing and hedging (the Black–Scholes–Merton, the Heath–Jarrow–Morton, and the reduced-form credit risk models), multiple-factor models, characterizing systematic risk, portfolio optimization, market efficiency, and equilibrium (capital asset and consumption) pricing models. This book fills this gap, presenting the relevant topics from mathematical finance, but aimed at Economics and Business School students with strong mathematical backgrounds.


Asset Pricing

Asset Pricing
Author: T. Kariya
Publisher: Springer Science & Business Media
Total Pages: 273
Release: 2011-06-27
Genre: Business & Economics
ISBN: 1441992308

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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.


Empirical Asset Pricing

Empirical Asset Pricing
Author: Wayne Ferson
Publisher: MIT Press
Total Pages: 497
Release: 2019-03-12
Genre: Business & Economics
ISBN: 0262039370

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An introduction to the theory and methods of empirical asset pricing, integrating classical foundations with recent developments. This book offers a comprehensive advanced introduction to asset pricing, the study of models for the prices and returns of various securities. The focus is empirical, emphasizing how the models relate to the data. The book offers a uniquely integrated treatment, combining classical foundations with more recent developments in the literature and relating some of the material to applications in investment management. It covers the theory of empirical asset pricing, the main empirical methods, and a range of applied topics. The book introduces the theory of empirical asset pricing through three main paradigms: mean variance analysis, stochastic discount factors, and beta pricing models. It describes empirical methods, beginning with the generalized method of moments (GMM) and viewing other methods as special cases of GMM; offers a comprehensive review of fund performance evaluation; and presents selected applied topics, including a substantial chapter on predictability in asset markets that covers predicting the level of returns, volatility and higher moments, and predicting cross-sectional differences in returns. Other chapters cover production-based asset pricing, long-run risk models, the Campbell-Shiller approximation, the debate on covariance versus characteristics, and the relation of volatility to the cross-section of stock returns. An extensive reference section captures the current state of the field. The book is intended for use by graduate students in finance and economics; it can also serve as a reference for professionals.


General Equilibrium Asset Pricing Under Regime Switching

General Equilibrium Asset Pricing Under Regime Switching
Author: Robert J. Elliott
Publisher:
Total Pages: 26
Release: 2018
Genre:
ISBN:

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In this paper, we have developed a continuous time general equilibrium model in an economy which has two states, a 'good' state and a 'bad' state. There are two types of shocks in the economy: small shocks and large shocks. The small shocks which only affect the individual price movements are modeled by Brownian motions. The large shocks, the states of the economy, are modeled by a continuous time Markov Chain. There are one riskless assets, n basic risky assets and contingent claims written on the risky assets in the market. The states of the economy affect the expected returns and the variances of the assets. We assume in different states, the means and variances of the instantaneous returns are different. We then investigate the asset pricing problem in general equilibrium with a representative agent who maximizes a cost function. Based on the assumption of a CRRA utility function, we have derived a partial differential equation satisfied by the representative agent's cost function. A form of the solution of the partial differential equation has been given in general equilibrium with intermediate consumption. In the case when the representative agent doesn't have intermediate consumption, we have found an explicit solution of the cost function. A closed-form expression for the riskless interest rate has been derived. We have also provided a partial differential equation satisfied by any contingent claim written on basic risky asset. The stochastic discount factor has been defined and computed in our framework. Based on the stochastic discount factor, we have provided an explanation for the equity premium puzzle.