Numerical Analysis of a Free-Boundary Singular Control Problem in Financial Economics (Classic Reprint) - Softcover

Ayman Hindy

 
9781332272198: Numerical Analysis of a Free-Boundary Singular Control Problem in Financial Economics (Classic Reprint)

Synopsis

This book investigates a free-boundary control problem that has applications in the financial world, specifically when it comes to consumption and investment allocation problems. The authors propose a numerical scheme for solving this problem, which is used to analyze the consumption and abstinence regions of consumers over their lifetimes. It is well-suited for those with a background in dynamic programming. The book is unique in its application of a differential inequality with gradient constraints to solving the Bellman equation associated with the dynamic programming formulation. This has not been done before in this context and is the basis for all of the analysis in this book.

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