Title page for ETD etd-05032010-160931


Type of Document Master's Thesis
Author Lodygowski, Adam
Author's Email Address alodyg1@tigers.lsu.edu
URN etd-05032010-160931
Title Correlation of Defaults in Complex Portfolios Using Copula Techniques
Degree Master of Science (M.S.)
Department Mathematics
Advisory Committee
Advisor Name Title
Sengupta, Ambar Committee Chair
Hillebrand, Eric Committee Co-Chair
Sundar, Padmanabhan Committee Member
Keywords
  • correlation default
  • copula
  • gausian distribution
  • portfolio
Date of Defense 2010-04-29
Availability unrestricted
Abstract
This work, dealing with the correlation between subportfolios in more complex portfolios, begins with a brief survey of the necessary theoretical background. The basic statistical and probabilistic concepts are reviewed. The notion of copulas is introduced along with the fundamental theorem of Sklar. After this background a numerical procedure and code are developed for correlated defaults in multiple correlated portfolio. Further on, interesting results regarding the impact of changes in correlation on the portfolio performance are investigated in the simulations. The most valuable observations regarding the expected default ratios of two subportfolios considered jointly are presented and explained with particular care. These observations are compared with theoretical results. The sensitivity of the tranche losses to correlation parameters is examined carefully. The work is concluded with a brief summary of the most significant observations and their possible impact on portfolio performance.

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