Financial/Actuarial Mathematics

Date:  Thursday, April 12, 2012
Location:  1360 East Hall (3:00 PM to 4:00 PM)

Title:  On the Ruin Problem for Levy Insurance Risk Processes: A Review and a New Family of Models

Abstract:   Expressions for the expected discounted penalty function now exist for a wide range of models, in particular for a general class of Levy insurance risk processes [Biffis and Morales (2010) and Biffis and Kyprianou (2010)]. Indeed, the EDPF encapsulates relevant information about ruin related quantities that are of potential interest in risk management applications. Yet, in order to realize this potential, at least one main condition is needed, namely, these expressions must be computationally tractable enough as to allow for the evaluation of associated risk measures such as VaR or CVaR. Now, most of the Lévy models studied so far offer few interesting examples for which computation of the associated EDPF can be carried out to the last instances where evaluation of risk measures is possible. In this paper we address this issue with a new family of models. First, we introduce examples of risk insurance processes for which numerical evaluati


Speaker:  Manuel Morales
Institution:  University of Montreal

Event Organizer:   Erhan Bayraktar    erhan@umich.edu

 

Edit this event (login required).
Add new event (login required).
For access requests and instructions, contact math-webmaster@umich.edu

Back to previous page
Back to UM Math seminars/events page.

   

Department of Mathematics   |   2074 East Hall   |  530 Church Street  
Ann Arbor, MI 48109-1043
Phone: 734.764-0335   |   Fax: 734.763-0937

The page last modified Tuesday, 02-Oct-2012 14:00:35 EDT
Site errors should be directed to math-webmaster@umich.edu