Hanspeter Schmidli

Stochastic Control in Insurance (eBook, PDF)

• Format: PDF

Produktbeschreibung

Until now, solved examples of the application of stochastic control to actuarial problems could only be found in journals - this is the first book to systematically present these methods in one volume. The author starts with a short introduction to stochastic control techniques. Then he applies the principles to several problems in actuarial mathematics. These examples show how verification theorems and existence theorems may be proved - they also show that, in contrast to general belief, the non-diffusion case is simpler than the diffusion case. In the last part of the book, applied probability techniques are used to determine the asymptotics of the controlled stochastic process. This book also includes a number of appendices to supplement the main material of the book - and will be suitable for graduate and postgraduate students of actuarial and financial mathematics, as well as researchers, and practitioners in insurance companies and banks who wish to use these techniques in their work.

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Produktdetails

• Verlag: Springer London
• Seitenzahl: 258
• Erscheinungstermin: 20. November 2007
• Englisch
• ISBN-13: 9781848000032
• Artikelnr.: 37357647

Inhaltsangabe

Stochastic Control in Discrete Time.- Stochastic Control in Continuous Time.- Problems in Life Insurance.- Asymptotics of Controlled Risk Processes.- Appendices.- Stochastic Processes and Martingales.- Markov Processes and Generators.- Change of Measure Techniques.- Risk Theory.- The Black-Scholes Model.- Life Insurance.- References.- Index.- List of Principal Notation.

Rezensionen

From the reviews:

"This book provides a state of the art treatment of dynamic stochastic control problems arising in insurance, like investment, dividend payout and reinsurance problems. ... The book comprises four chapters and a comprehensive appendix about stochastic processes, risk theory, life insurance and the Black-Scholes model. ... is certainly a valuable reference for graduate students and researchers in actuarial sciences who are interested in stochastic control methods. It discusses in a critical way the HJB approach for these problems and shows its scope and limitations." (Nicole Bäuerle, Mathematical Reviews, Issue 2008 k)