The past several years have made clear the need to better understand the behavior of risk in large interconnected financial networks. Interconnections often make a system robust, but they can act as conduits for risk. In this talk, I will present recent results on modeling the dynamics of correlated default events in the financial market. An empirically motivated system of interacting point processes is introduced and we study how different types of risk, like contagion and exposure to systematic risk, compete and interact in large-scale systems. A law of large numbers for the loss from default is proven and used for approximating the distribution of the loss from default in large, potentially heterogeneous portfolios. Fluctuation analysis and conditional Gaussian approximations are used to improve the approximations. Numerical results illustrate the accuracy of the approximation. The results give insights into how different sources of default correlation interact to generate typical and atypical portfolio losses.
Speaker: Konstantinos Spiliopoulos, Department of Mathematics and Statistics, Boston University
Slides: (TBA)
Event Details
Recent Results on Systemic Risk in Large Financial Networks
- Event Date: October 16, 2012
- Event End Date: October 16, 2012
- Event Start Time: 11:00 AM
- Event End Time: 12:00 PM
- Event Location: Hill 705
- Event Type: Mathematical Finance and Probability Seminars
- Extra Info: Speaker: Konstantinos Spiliopoulos, Department of Mathematics and Statistics, Boston University