Download or read book Optimal Consumption and Portfolio Choice Under Ambiguity for a Mean reverting Risk Premium in Complete Markets written by Hening Liu and published by . This book was released on 2011 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Consumption and Portfolio Allocation Under Mean Reverting Returns written by Jessica A. Wachter and published by . This book was released on 2011 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper solves, in closed form, the optimal portfolio choice problem for an investor with utility over consumption under mean-reverting returns. Previous solutions either require approximations, numerical methods, or the assumption that the investor does not consume over his lifetime. This paper breaks the impasse by assuming that markets are complete. The solution leads to a new understanding of hedging demand and the behavior of approximate log-linear solutions. The portfolio allocation takes the form of a weighted average and is shown to be analogous to duration for coupon bonds. Through this analogy, the notion of investment horizon is extended to that of an investor who consumes at multiple points in time.
Download or read book Portfolio and Consumption Decisions Under Mean Revering Returns written by Jessica A. Wachter and published by . This book was released on 2011 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper solves, in closed form, the optimal portfolio choice problem for an investor with utility over consumption under mean-reverting returns. Previous solutions either require approximations, numerical methods, or the assumption that the investor does not consume over his lifetime. This paper breaks the impasse by assuming that markets are complete. The solution leads to a new understanding of hedging demand and of the behavior of the approximate log-linear solution. The portfolio allocation takes the form of a weighted average and is shown to be analogous to duration for coupon bonds. Through this analogy, the notion of investment horizon is extended to that of an investor who consumes at multiple points in time.
Download or read book Dynamic Portfolio Choice under Ambiguity and Regime Switching Mean Returns written by Hening Liu and published by . This book was released on 2011 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Advances in Financial Risk Management written by Jonathan A. Batten and published by Springer. This book was released on 2015-12-04 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The latest research on measuring, managing and pricing financial risk. Three broad perspectives are considered: financial risk in non-financial corporations; in financial intermediaries such as banks; and finally within the context of a portfolio of securities of different credit quality and marketability.
Download or read book Optimal Consumption and Portfolio Choice with Ambiguity written by Qian Lin and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Portfolio and Consumption Choice with Stochastic Investment Opportunities and Habit Formation in Preferences written by Claus Munk and published by . This book was released on 2002 with total page 43 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the dynamic consumption and portfolio choice of an investor who has habit formation in preferences and access to a complete financial market. For general, possibly non-Markov, dynamics of market prices, we provide an exact characterization of the optimal behavior in terms of two relatively simple and intuitively interpretable stochastic processes. We study in more detail the optimal strategies in two concrete examples of time-varying investment opportunities. Firstly, we derive a closed-form solution of the optimal consumption and portfolio choice with mean-reverting stock returns. Secondly, with Cox-Ingersoll-Ross interest rate dynamics we can express the optimal strategies in terms of the solution to a partial differential equation, which has an explicit solution for time-additive preferences, but not with habit formation. Our numerical examples show that, while hedging demands for various assets are affected differently by habit persistence, the main effect on relative asset allocations stems from the fact that some assets (bonds and cash) are better investment objects than others (stocks) when it comes to ensuring that future consumption will not fall below the habit level. The implications of habit persistence in models with labor income are also addressed.
Download or read book Portfolio and Consumption Decisions Under Mean reverting Returns an Exact Solution for Complete Markets written by Jessica Wachter and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Robust Portfolio Choice and Consumption with Derivative Trading Under Stochastic Volatility and Jumps written by Pengyu Wei and published by . This book was released on 2018 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Ambiguity and Optimal Portfolio Choice with Value at Risk Constraint written by Bong-Gyu Jang and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Dynamic Consumption and Portfolio Choice with Stochastic Volatility in Incomplete Markets written by Luis M. Viceira and published by . This book was released on 1999 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: This paper analyzes optimal portfolio choice and consumption with stochastic volatility in incomplete markets. Using the Duffie-Epstein (1992) formulation of recursive utility in continuous time, it shows that the optimal portfolio demand for stocks under stochastic volatility varies strongly with the investor's coefficient of relative risk aversion, but only slightly with her elasticity of intertemporal substitution; by contrast, optimal consumption relative to wealth depends on both preference parameters. This paper also shows that stochastic variation in volatility produces an optimal intertemporal hedging demand for stocks which is negative when changes in volatility are instantaneously negatively correlated with excess stock returns and investors have coefficients of relative risk aversion larger than one. The absolute size of this demand increases with the size of this correlation, and also with the persistence of shocks to volatility. An application to the US stock market shows that empirically this correlation is negative and large, which implies a negative hedging demand for stocks. This application also shows that only low frequency shocks to volatility exhibit enough persistence to generate sizable hedging demands by long-term, risk averse investors. A comparative statics exercise shows that the size of hedging demands is considerably more sensitive to changes in persistence than to changes in correlation.
Download or read book Lifetime Consumption Portfolio Choice Under Trading Constraints Recursive Preferences and Nontradeable Income written by Mark D. Schroder and published by . This book was released on 2003 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: We consider the lifetime consumption-portfolio problem in a competitive securities market with essentially arbitrary continuous price dynamics, a possibly nontradeable income stream, and convex constraints on the vector of market values of financial positions. (The setting extends Schroder and Skiadas, 2002, where the endowment is assumed tradeable and constraints are imposed in terms of wealth proportions.) For any utility function with a supergradient density, we develop the first-order conditions of optimality, a side-product being the characterization of a constrained notion of state-pricing. The methodology is applied to generalized continuous-time recursive utility, allowing for first and second-order risk-aversion that can depend on the risk source, reflecting the source's quot;ambiguity.quot; Within this class, we isolate a more tractable formulation in which preferences exhibit no wealth effects (an example being time-additive expected discounted exponential utility), and there is unrestricted trading in a money market and a suitably defined consol bond. In this case, we derive closed-form solutions for the optimal consumption and trading strategy in terms of the solution to a single constrained backward stochastic differential equation (BSDE), which in a Markovian setting maps to a PDE. Methodologically, we develop the utility gradient approach, but for the wealth-invariant case we also verify the solution using the dynamic programming approach, without having to assume a Markovian structure. Finally, we present a class of parametric examples in which the PDE characterizing the solution simplifies to a system of ordinary differential equations (of the Riccati type).
Download or read book Rational Inattention Long Run Consumption Risk and Portfolio Choice written by Yulei Luo and published by . This book was released on 2009 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper explores how the introduction of rational inattention (RI) -- that agents process information subject to finite channel capacity -- affects optimal consumption and investment decisions in an otherwise standard intertemporal model of portfolio choice. We first explicitly derive optimal consumption and portfolio rules under RI and then show that introducing RI reduces the optimal share of savings invested in the risky asset because inattentive investors face greater long-run consumption risk. We also show that the investment horizon matters for portfolio allocation in the presence of RI, even if investment opportunities are constant and the utility function of investors is constant relative risk aversion. Second, after aggregating across investors, we show that introducing RI can better explain the observed joint dynamics of aggregate consumption and the asset return. Finally, we show that RI increases the implied equity premium because investors under RI face greater long-run consumption risk and thus require higher compensation in equilibrium.
Download or read book Ambiguity Preferences and Portfolio Choices written by Milo Bianchi and published by . This book was released on 2019 with total page 55 pages. Available in PDF, EPUB and Kindle. Book excerpt: We match administrative panel data on portfolio choices with survey data on preferences over ambiguity. We show that ambiguity averse investors bear more risk, due to a lack of diversification. In particular, they exhibit a form of home bias that leads to higher exposure to the domestic relative to the international stock market. While more sensitive to market factors, their returns are on average higher, suggesting that ambiguity averse investors need not be driven out of the market for risky assets. We also show that these investors rebalance their portfolio more actively and in a contrarian direction relative to past market trends, which allows them to keep their risk exposure relatively constant over time. We discuss these findings in relation to the theoretical literature on portfolio choice under ambiguity.
Download or read book A Portfolio Choice Model with Utility from Anticipation of Future Consumption and Stock Markets Mean Reversion written by Shmuel Kandel and published by . This book was released on 2004 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Consumption and Portfolio Choice for Long horizon Investors written by Luis Manuel Viceira Alguacil and published by . This book was released on 1998 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Consumption and Portfolio Choice with Loss Aversion written by Giuliano Curatola and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
