Preface.- Probability Tools for Stochastic Modeling.- 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.- References.- Author Index.- Subject Index.
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.
Unique approach solves finance and insurance problems with semi-Markov models in a complete way
Includes highly relevant real-life applications of semi-Markov processes