Optimal Consumption and Portfolio Choice with Ambiguity PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Optimal Consumption and Portfolio Choice with Ambiguity PDF full book. Access full book title Optimal Consumption and Portfolio Choice with Ambiguity by Qian Lin. Download full books in PDF and EPUB format.
Author: Qian Lin Publisher: ISBN: Category : Languages : en Pages :
Book Description
We consider optimal consumption and portfolio choice in the presence of Knightian uncertainty in continuous-time. We embed the problem into the new framework of stochastic calculus for such settings, dealing in particular with the issue of non-equivalent multiple priors. We solve the problem completely by identifying the worst-case measure. Our setup also allows to consider interest rate uncertainty; we show that under some robust parameter constellations, the investor optimally puts all his wealth into the asset market, and does not save or borrow at all.
Author: Qian Lin Publisher: ISBN: Category : Languages : en Pages :
Book Description
We consider optimal consumption and portfolio choice in the presence of Knightian uncertainty in continuous-time. We embed the problem into the new framework of stochastic calculus for such settings, dealing in particular with the issue of non-equivalent multiple priors. We solve the problem completely by identifying the worst-case measure. Our setup also allows to consider interest rate uncertainty; we show that under some robust parameter constellations, the investor optimally puts all his wealth into the asset market, and does not save or borrow at all.
Author: Hening Liu Publisher: ISBN: Category : Languages : en Pages : 40
Book Description
I examine a continuous-time intertemporal consumption and portfolio choice problem under ambiguity, where expected returns of a risky asset follow a hidden Markov chain. Investors with Chen and Epstein''s (2002) recursive multiple priors utility possess a set of priors for unobservable investment opportunities. We explicitly characterize optimal consumption and portfolio policies in terms of the Malliavin derivatives and stochastic integrals. When the model is calibrated to U.S. stock market data, I find that continuous Bayesian revisions under incomplete information generate ambiguity-driven hedging demands that mitigate intertemporal hedging demands. In addition, ambiguity aversion magnifies the importance of hedging demands in the optimal portfolio policies. Out-of-sample experiments demonstrate the economic importance of accounting for ambiguity.
Author: Bong-Gyu Jang Publisher: ISBN: Category : Languages : en Pages :
Book Description
Integrating a Value-at-Risk constraint on a fund manager's wealth and ambiguity, we present a model of optimal portfolio choice for a fund manager who allocates her wealth between risky and riskless assets. When a fund manager controls asset composition, her reactions di er with respect to an increase in only risk aversion and only ambiguity aversion. When the sum of coe cients of risk aversion and ambiguity aversion is fixed, the effect of risk aversion on risky investment dominates the effect of ambiguity aversion in that stock holdings are dramatically smaller in the absence of ambiguity aversion than in its presence.
Author: Pengyu Wei Publisher: ISBN: Category : Languages : en Pages : 42
Book Description
This paper analyzes the optimal consumption and portfolio choice problem for an ambiguity averse investor who has access to the stock and derivatives markets with recursive preferences. The stock process follows a stochastic volatility jump-diffusion model and the investor can have different levels of ambiguity about diffusion risks and the jump risk, respectively. We obtain an analytical solution which is exact when the investor has unit elasticity of intertemporal substitution of consumption, and approximate otherwise. We find that optimal exposures to diffusion risks and to the jump risk are significantly affected by the ambiguity aversion about the corresponding risk factors in the complete market. However, the optimal stock investment is insensitive to the ambiguity aversion about the jump risk in the incomplete market. We also find that considering ambiguity aversion with respect to diffusion risks and participating in the derivatives markets are essential to reduce the potential welfare loss, while the impact of ignoring the jump ambiguity is negligible.
Author: Ryan G. Sankarpersad Publisher: ISBN: Category : Languages : en Pages :
Book Description
ABSTRACT: We consider an extension of Merton's optimal portfolio choice and consumption problem for a portfolio in which the underlying risky asset is an exponential Levy process. The investor is able to move money between a risk free asset and a risky asset and consume from the risk free asset. Given the dynamics of the total wealth of the portfolio we consider the problem of finding portfolio weights and a consumption process which optimizes the investors expected utility of consumption over the investment period. The problem is solved in both the finite and infinite horizon cases for a family of hyperbolic absolute risk aversion utility functions using the techniques of stochastic control theory. The general closed form solutions are found for for the case of a power utility function and then for a more generalized utility. We consider a variety of Levy processes and make a comparison of the optimal portfolio weights. We find that our results are consistent with expectations that the greater the inherent uncertainty of a given process leads to a smaller fraction of wealth invested in the risky asset. In particular an investor is more careful when the risky asset is a discontinuous Levy process when compared to the continuous case such as those found in a geometric Brownian motion model.
Author: Qian Lin
Author: Qian Lin
Author: Hening Liu
Author: Hening Liu
Author: Bong-Gyu Jang
Author: Luis Manuel Viceira Alguacil
Author: Jean-Luc Vila
Author: Pengyu Wei
Author: Giuliano Curatola
Author: Ryan G. Sankarpersad
Author: Barbara Azalos Price