Download or read book A duality approach to a stochastic consumption portfolio decision problem in a continuous time market with short selling prohibition written by Gan-Lin Xu and published by . This book was released on 1990 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Duality Method for Optimal Consumption and Investment Under Short selling Prohibition written by Gan-Lin Xu and published by . This book was released on 1990 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "A continuous-time, consumption/investment problem on a finite horizon is considered for an agent seeking to maximize expected utility from consumption plus expected utility from terminal wealth. The agent is prohibited from selling stocks short, so the usual martingale methods for solving this problem do not directly apply. A dual problem is posed and solved, and the solution to the dual problem provides information about the existence and nature of the solution to the original problem. When the market coefficients are constant, the value functions for both problems are provided in terms of solutions to linear, second-order, partial differential equations. If, furthermore, the utility functions are of the power form, the solutions to these equations take a particularly simple form, as do the formulas for the optimal consumption and investment processes."

Download or read book Seminar on Stochastic Analysis Random Fields and Applications IV written by Robert Dalang and published by Birkhäuser. This book was released on 2012-12-06 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains twenty refereed papers presented at the 4th Seminar on Stochastic Processes, Random Fields and Applications, which took place in Ascona, Switzerland, from May 2002. The seminar focused mainly on stochastic partial differential equations, stochastic models in mathematical physics, and financial engineering. The book will be a valuable resource for researchers in stochastic analysis and professionals interested in stochastic methods in finance and insurance.

Download or read book Dissertation Abstracts International written by and published by . This book was released on 1990 with total page 730 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book SIAM Journal on Control and Optimization written by Society for Industrial and Applied Mathematics and published by . This book was released on 1994 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book American Doctoral Dissertations written by and published by . This book was released on 1989 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Financial Mathematics written by Bruno Biais and published by Springer. This book was released on 2006-11-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Financial Mathematics is an exciting, emerging field of application. The five sets of course notes in this book provide a bird's eye view of the current "state of the art" and directions of research. For graduate students it will therefore serve as an introduction to the field while reseachers will find it a compact source of reference. The reader is expected to have a good knowledge of the basic mathematical tools corresponding to an introductory graduate level and sufficient familiarity with probabilistic methods, in particular stochastic analysis.

Download or read book Bulletin Institute of Mathematical Statistics written by Institute of Mathematical Statistics and published by . This book was released on 1991 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Methods of Mathematical Finance written by Ioannis Karatzas and published by Springer. This book was released on 2017-01-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This sequel to Brownian Motion and Stochastic Calculus by the same authors develops contingent claim pricing and optimal consumption/investment in both complete and incomplete markets, within the context of Brownian-motion-driven asset prices. The latter topic is extended to a study of equilibrium, providing conditions for existence and uniqueness of market prices which support trading by several heterogeneous agents. Although much of the incomplete-market material is available in research papers, these topics are treated for the first time in a unified manner. The book contains an extensive set of references and notes describing the field, including topics not treated in the book. This book will be of interest to researchers wishing to see advanced mathematics applied to finance. The material on optimal consumption and investment, leading to equilibrium, is addressed to the theoretical finance community. The chapters on contingent claim valuation present techniques of practical importance, especially for pricing exotic options.

Download or read book Stochastic Dominance written by G. A. Whitmore and published by . This book was released on 1978 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical foundations of stochastic dominance; Portfolio applications: empirical studies; Portfolio applications: computational aspects; Applications to financial management and capital markets; Applications in economic theory and analysis.

Download or read book Journal of Economic Theory written by Karl Shell and published by . This book was released on 1997 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Consumption Porfolio Policies written by Hua He and published by Forgotten Books. This book was released on 2016-10-20 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Consumption-Porfolio Policies: An Inverse Optimal Problem The inverse problem studied here can be viewed as a dynamic recoverability problem in financial markets with continuous trading; see Kurz (1969) and Chang (1988) for related problems. Our objective here is to recover an economic agent's preferences from the observed consumption-portfolio policy that has been specified for a given asset price process. Since our emphasis is in analyzing an individual's consumption-portfolio policy in a continuous time securities market environment, the inverse problem studied here and the solution method employed in this paper are very different from those of Kurz (1969) and Chang who study an inverse problem in the theory of optimal growth. Cox and Leland (1982) are the first to characterize efficient consumption-portfolio policies when the asset price follows a geometric Brownian motion; also see Black Our contribution in this paper lies in giving a characterization of the efficient consumption-portfolio policies when the asset price follows a general diffusion process. Since our characterization of efficient consumption portfolio policies is derived for a general specification of the price process, we can also use the same approach to answer a related question: Can a given consumption-portfolio policy be optimal for a given utility function and some diffusion price process or for some utility function and some diffusion price process? About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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 Stochastic Dominance written by Haim Levy and published by Springer. This book was released on 2015-10-31 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: This fully updated third edition is devoted to the analysis of various Stochastic Dominance (SD) decision rules. It discusses the pros and cons of each of the alternate SD rules, the application of these rules to various research areas like statistics, agriculture, medicine, measuring income inequality and the poverty level in various countries, and of course, to investment decision-making under uncertainty. The book features changes and additions to the various chapters, and also includes two completely new chapters. One deals with asymptotic SD and the relation between FSD and the maximum geometric mean (MGM) rule (or the maximum growth portfolio). The other new chapter discusses bivariate SD rules where the individual’s utility is determined not only by his own wealth, but also by his standing relative to his peer group. Stochastic Dominance: Investment Decision Making under Uncertainty, 3rd Ed. covers the following basic issues: the SD approach, asymptotic SD rules, the mean-variance (MV) approach, as well as the non-expected utility approach. The non-expected utility approach focuses on Regret Theory (RT) and mainly on prospect theory (PT) and its modified version, cumulative prospect theory (CPT) which assumes S-shape preferences. In addition to these issues the book suggests a new stochastic dominance rule called the Markowitz stochastic dominance (MSD) rule corresponding to all reverse-S-shape preferences. It also discusses the concept of the multivariate expected utility and analyzed in more detail the bivariate expected utility case. From the reviews of the second edition: "This book is an economics book about stochastic dominance. ... is certainly a valuable reference for graduate students interested in decision making under uncertainty. It investigates and compares different approaches and presents many examples. Moreover, empirical studies and experimental results play an important role in this book, which makes it interesting to read." (Nicole Bäuerle, Mathematical Reviews, Issue 2007 d)

Download or read book Utility Maximization with Consumption Habit Formation in Incomplete Markets written by Xiang Yu and published by . This book was released on 2012 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation studies a class of path-dependent stochastic control problems with applications to Finance. In particular, we solve the open problem of the continuous time expected utility maximization with addictive consumption habit formation in incomplete markets under two independent scenarios. In the first project, we study the continuous time utility optimization problem with consumption habit formation in general incomplete semimartingale financial markets. Introducing the set of auxiliary state processes and the modified dual space, we embed our original problem into an abstract time-separable utility maximization problem with a shadow random endowment on the product space [mathematic equation] We establish existence and uniqueness of the optimal solution using convex duality by defining the primal value function as depending on two variables, i.e., the initial wealth and the initial standard of living. We also provide market independent sufficient conditions both on the stochastic discounting processes of the habit formation process and on the utility function for the well-posedness of our original optimization problem. Under the same assumptions, we can carefully modify the classical proofs in the approach of convex duality analysis when the auxiliary dual process is not necessarily integrable. In the second project, we examine an example of the optimal investment and consumption problem with both habit-formation and partial observations in incomplete markets driven by Itô processes. The individual investor develops addictive consumption habits gradually while only observing the market stock prices but not the instantaneous rates of return, which follow an Ornstein-Uhlenbeck process. Applying the Kalman-Bucy filtering theorem and Dynamic Programming arguments, we solve the associated Hamilton-Jacobi-Bellman(HJB) equation fully explicitly for this path dependent stochastic control problem in the case of power utility preferences. We provide the optimal investment and consumption policy in explicit feedback form using rigorous verification arguments.

Download or read book Mathematical Reviews written by and published by . This book was released on 2000 with total page 764 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Consumption and Portfolio Decisions when Expected Returns are Time Varying written by John Y. Campbell and published by . This book was released on 1996 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: This paper proposes and implements a new approach to a classic unsolved problem in financial economics: the optimal consumption and portfolio choice problem of a long-lived investor facing time-varying investment opportunities. The investor is assumed to be infinitely-lived, to have recursive Epstein-Zin-Weil utility, and to choose in discrete time between a riskless asset with a constant return, and a risky asset with constant return variance whose expected log return follows and AR(1) process. The paper approximates the choice problem by log-linearizing the budget constraint and Euler equations, and derives an analytical solution to the approximate problem. When the model is calibrated to US stock market data it implies that intertemporal hedging motives greatly increase, and may even double, the average demand for stocks by investors whose risk-aversion coefficients exceed one.