Optimal Consumption and Portfolio Rules

Optimal Consumption and Portfolio Rules
Author: Ayman Hindy
Publisher: Forgotten Books
Total Pages: 50
Release: 2018-02-07
Genre: Business & Economics
ISBN: 9780656034628

Excerpt from Optimal Consumption and Portfolio Rules: With Durability and Local Substitution Two interesting economic notions are captured in two different interpretations of the model specified in (1) and In one interpretation, preferences given by (1) embody the idea of local substitution, that is consumptions at nearby dates are almost perfect substitutes. In a second interpretation, the model represents preferences over the service flows from irreversible purchases of a durable good that decays over time. Local substitution in continuous time, studied by Hindy, Huang and Kreps (1991) and Hindy and Huang is the notion that consumption at a point in time depresses marginal utility of consumption at nearby times. Suppression of appetite following a large meal is a natural phenomenon that leads to periodic consumption. In addition, local substitution implies that delaying or advancing consumption for a short period of time has little effect on satisfaction. In other words, agents regard consuming at adjacent dates as very similar alternatives. 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.

Optimal Consumption and Portfolio Rules

Optimal Consumption and Portfolio Rules
Author: Ayman Hindy
Publisher:
Total Pages: 42
Release: 2015-08-05
Genre: Mathematics
ISBN: 9781332273263

Excerpt from Optimal Consumption and Portfolio Rules: With Local Substitution We provide sufficient conditions for the existence of a solution to a consumption and portfolio problem in continuous time under uncertainty with an infinite horizon. When the price processes for securities are diffusion processes, optimal policies can be computed by solving a linear partial differential equation. We also provide conditions under which the solution to an infinite horizon problem is the limit of the solutions to finite horizon problems when the horizon increases to infinity. 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.

Optimal Consumption and Portfolio Rules with Local Substitution

Optimal Consumption and Portfolio Rules with Local Substitution
Author: Ayman Hindy
Publisher: Palala Press
Total Pages: 44
Release: 2015-09-09
Genre:
ISBN: 9781342049506

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Optimal Consumption and Portfolio Rules With Durability and Habit Formation (Classic Reprint)

Optimal Consumption and Portfolio Rules With Durability and Habit Formation (Classic Reprint)
Author: Ayman Hindy
Publisher: Forgotten Books
Total Pages: 58
Release: 2018-03
Genre: Business & Economics
ISBN: 9780656508983

Excerpt from Optimal Consumption and Portfolio Rules With Durability and Habit Formation We entertain three different economic ideas in three different interpretations of the model specified in and In one interpretation, preferences given by (1) exhibit the notions of local substitution and habit formation. Agents with such preferences treat consumptions at adjacent dates as close substitutes and consumptions at distant dates as complements. In a second interpretation, the model represents habit forming preferences over the service flows from irreversible purchases of a durable good that decays over time. In the third interpretation, the model represents preferences for consumption of a dual purpose commodity that provides the agent with two sources of utility. The two components of such a composite good, however, have different half - lives. 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.

Optimal Consumption and Portfolio Rules with Durability and Habit Formation

Optimal Consumption and Portfolio Rules with Durability and Habit Formation
Author: Ayman Hindy
Publisher:
Total Pages:
Release: 2005
Genre:
ISBN:

We study a model of consumption choice and portfolio allocation that captures, in two different interpretations, the combined effect of local substitution and habit formation and the combined effect of durability of consumption goods and habit formation over service flows from those goods. In a third interpretation, the model captures the idea of a dual purpose commodity. The optimal allocation problem is from the class of free boundary singular control problems. We discuss, formally, necessary, and sufficient conditions for a consumption and portfolio policy to be optimal. We also introduce a numerical technique based on approximating the original program by a sequence of discrete parameter Markov chain control problems. We provide convergence results of the value function, the optimal investment policy, and the optimal consumption regions in the approximating discrete control problems to those in the original continuous time dynamic program. We construct numerically the consumption boundary that divides the state space into two regions - one of immediate consumption and the other of abstinence. We show that both the wealth required to start consuming and the optimal fraction of wealth invested in the risky asset are cyclical functions in both the stock of the durable good and the standard of living. This is due to the interaction between the durability and habit formation effects. We also study the effect of the cyclical investment behavior on the equilibrium risk premium in a representative consumer economy.

Asset Pricing and Portfolio Choice Theory

Asset Pricing and Portfolio Choice Theory
Author: Kerry Back
Publisher: Oxford University Press, USA
Total Pages: 504
Release: 2010
Genre: Business & Economics
ISBN: 0195380614

This book covers the classical results on single-period, discrete-time, and continuous-time models of portfolio choice and asset pricing. It also treats asymmetric information, production models, various proposed explanations for the equity premium puzzle, and topics important for behavioral finance.

Handbook of Stochastic Analysis and Applications

Handbook of Stochastic Analysis and Applications
Author: D. Kannan
Publisher: CRC Press
Total Pages: 800
Release: 2001-10-23
Genre: Mathematics
ISBN: 9780824706609

An introduction to general theories of stochastic processes and modern martingale theory. The volume focuses on consistency, stability and contractivity under geometric invariance in numerical analysis, and discusses problems related to implementation, simulation, variable step size algorithms, and random number generation.

Methods of Mathematical Finance

Methods of Mathematical Finance
Author: Ioannis Karatzas
Publisher: Springer
Total Pages: 426
Release: 2017-01-10
Genre: Mathematics
ISBN: 1493968459

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.