Stochastic Optimization in Insurance: A Dynamic Programming Approach (SpringerBriefs in Quantitative Finance) - Tapa blanda

Azcue, Pablo

 
9781493909940: Stochastic Optimization in Insurance: A Dynamic Programming Approach (SpringerBriefs in Quantitative Finance)
Tapa blanda
ISBN 10: 1493909940 ISBN 13: 9781493909940
Editorial: Springer, 2014

Sinopsis

The main purpose of the book is to show how a viscosity approach can be used to tackle control problems in insurance. The problems covered are the maximization of survival probability as well as the maximization of dividends in the classical collective risk model. The authors consider the possibility of controlling the risk process by reinsurance as well as by investments. They show that optimal value functions are characterized as either the unique or the smallest viscosity solution of the associated Hamilton-Jacobi-Bellman equation; they also study the structure of the optimal strategies and show how to find them.

The viscosity approach was widely used in control problems related to mathematical finance but until quite recently it was not used to solve control problems related to actuarial mathematical science. This book is designed to familiarize the reader on how to use this approach. The intended audience is graduate students as well as researchers in this area.

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Críticas

“This book mainly contains work done by the authors during the last few years in the area of optimal control of insurance surpluses. ... The book is very nicely written and gives an excellent overview of the topic. It is an ideal textbook for all researchers in insurance, in particular for those interested in optimisation problems.” (Hanspeter Schmidli, zbMATH 1308.91004, 2015)

Reseña del editor

The main purpose of the book is to show how a viscosity approach can be used to tackle control problems in insurance. The problems covered are the maximization of survival probability as well as the maximization of dividends in the classical collective risk model. The authors consider the possibility of controlling the risk process by reinsurance as well as by investments. They show that optimal value functions are characterized as either the unique or the smallest viscosity solution of the associated Hamilton-Jacobi-Bellman equation; they also study the structure of the optimal strategies and show how to find them.

The viscosity approach was widely used in control problems related to mathematical finance but until quite recently it was not used to solve control problems related to actuarial mathematical science. This book is designed to familiarize the reader on how to use this approach. The intended audience is graduate students as well as researchers in this area.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2014
Idioma
Inglés
ISBN 10 
1493909940
ISBN 13 
9781493909940
Encuadernación
Tapa blanda
Número de páginas
156
Contacto del fabricante
no disponible
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