Semi-Markov Risk Models for Finance, Insurance and Reliability / Edition 1

by Jacques Janssen, Raimondo Manca

Overview

Everyone working in related fields from applied mathematicians to statisticians to actuaries and operations researchers will find this a brilliantly useful practical text. The book presents applications of semi-Markov processes in finance, insurance and reliability, using real-life problems as examples. After a presentation of the main probabilistic tools necessary for understanding of the book, the authors show how to apply semi-Markov processes in finance, starting from the axiomatic definition and continuing eventually to the most advanced financial tools.

Product Details

ISBN-13:	9781441943576
Publisher:	Springer US
Publication date:	11/04/2010
Edition description:	Softcover reprint of hardcover 1st ed. 2007
Pages:	430
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

Probability Tools For Shastic Modelling.- Renewal Theory and Markov Chains.- Markov Renewal Processes, Semi-Markov Processes and Markov Random Walks.- Discrete Time and Reward Smp and their Numerical Treatment.- Semi-Markov Extensions of the Black-Scholes Model.- Other Semi-Markov Models in Finance and Insurance.- Insurance Risk Models.- Reliability and Credit Risk Models.- Generalised Non-Homogeneous Models for Pension Funds and Manpower Management.

Editorial Reviews

From the reviews:

"The book under review aims to give a complete and self-contained presentation of semi-Markov models with finitely many states, in view of solving real life problems of risk management in three main fields: Finance, Insurance and Reliability. … important feature of this book is its presentation of both homogenous and non-homogenous models. This book addresses a very large public as it includes undergraduate and graduate students in mathematics and applied mathematics, in economics and business studies, actuaries, financial intermediaries, engineers and operation researchers." (Nico G. Gamkrelidze, Zentralblatt MATH, Vol. 1144, 2008)

From the Publisher