Authors: Suresh P. Sethi
ISBN-13: 9780792397557, ISBN-10: 079239755X
Format: Hardcover
Publisher: Springer-Verlag New York, LLC
Date Published: November 1996
Edition: (Non-applicable)
The problem of optimal consumption and investment is concerned with the decisions of a single agent endowed with some initial wealth who seeks to maximize total expected discounted utility of consumption. The decisions are the rate of consumption and the allocation of their wealth directed to risky and risk-free investments over time. The problem was first studied by Paul Samuelson and Robert Merton in 1969; however none of their formulations took into account the possibility that an agent might go bankrupt in the process. In a set of articles published in 1979 and 1983, Suresh Sethi and various co-authors explicitly introduced a bankruptcy value/penalty in the consumption/investment model. In addition, they also introduced a nonzero subsistence consumption level, which makes the consideration of bankruptcy even more important. This provided the ability to deal mathematically with the problems of bankruptcy in the study of consumption and investment. Optimal Consumption and Investment with Bankruptcy provides a useful frame for deepening our understanding of the consumption and portfolio selection behavior of individuals and households.
Foreword | ||
Preface | ||
1 | Consumption/Investment Problems | 3 |
2 | Explicit Solution of a General Consumption/Investment Problem | 21 |
3 | A Note on Merton's "Optimum Consumption and Portfolio Rules in a Continuous-time Model" | 57 |
4 | Infinite-Horizon Investment Consumption Model with a Nonterminal Bankruptcy | 67 |
5 | Risk-Aversion Behavior in Consumption/Investment Problems | 85 |
6 | Explicit Solution of a General Consumption/Portfolio Problem with Subsistence Consumption and Bankruptcy | 119 |
7 | Distribution of Bankruptcy Time in a Consumption/Portfolio Problem | 145 |
8 | Risk-Aversion Behavior in Consumption/Investment Problems with Subsistence Consumption | 155 |
9 | Consumption Behavior in Investment/Consumption Problems | 185 |
10 | Equivalence of Objective Functionals in Infinite Horizon and Random Horizon Problems | 207 |
11 | A Contribution to the Micro Foundation for Keynesian Macroeconomic Models | 217 |
12 | The Consumption-Investment Problem with Subsistence Consumption, Bankruptcy, and Random Market Coefficients | 247 |
13 | Optimal Dynamic Consumption and Portfolio Planning in a Welfare State | 283 |
14 | Optimal Consumption and Investment Policies Allowing Consumption Constraints, Bankruptcy and Welfare | 303 |
15 | A Martingale Formulation for Optimal Consumption/Investment Decision Making | 379 |
16 | Concluding Remarks and Open Research Problems | 409 |
Author Index | 423 | |
Copyright Permissions | 427 |