Excerpt from Optimal Consumption and Portfolio Rules: With Local Substitution
Now consider an agent with a time-additive utility function for consumption, u(c,t) and an initial wealth W0 0. Assume throughout that u(c,t) is continuous in concave and increasing in c, and is possibly unbounded from below at c 0. This agent wants to manage a portfolio of the risky securities and the bond, and withdraw funds out of the portfolio to maximize his expected utility of consumption over time. Our task here is to find conditions on the utility function and on the price processes to guarantee the existence of a solution to the agent's problem.
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Paperback. Zustand: New. Print on Demand. This book studies a fundamental economic dilemma: how to allocate resources between current consumption and saving for future needs. The author applies modern continuous-time finance theory to show how an individual can manage a portfolio of risky and riskless assets and withdraw funds to maximize their expected utility from consumption over time. It also includes a deep dive into the concept of arbitrage opportunities and the necessary conditions for their absence. A timely and practical guide, this book will be of great interest to academics, students, and practitioners in finance and economics. It is also accessible to anyone with a background in probability and calculus who wishes to understand the mathematical underpinnings of optimal consumption and portfolio policies. The author's clear and comprehensive exposition of the subject makes this book an essential resource for anyone seeking to optimize their investment strategies. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332273263_0
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