Overview

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.

Full Product Details

9781493909940

Table of Contents

Reviews

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)

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)</p>

Author Information

Tab Content 6

Customer Reviews

Recent Reviews

Countries Available