Seminar: PhD seminar: SMC Samplers for capital allocation under copula-dependent risk models

SpeakerRodrigo Targino (supervised by Dr. Gareth Peters)
AffiliationStatistical Science
DateWednesday, 04 Mar 2015
Time13:00 - 14:00
LocationRoom 102, 1-19 Torrington Place
Event seriesStatistical Science Seminars
Description

In this talk we assume a multivariate risk model has been developed for a portfolio and its capital derived as a homogeneous risk measure. The Euler (or gradient) principle, then, states that the capital to be allocated to each component of the portfolio has to be calculated as an expectation conditional to a rare event, which can be challenging to evaluate in practice. We exploit the copula-dependence within the portfolio risks to design a Sequential Monte Carlo Samplers based estimate to the marginal conditional expectations involved in the problem, showing its efficiency through a series of computational examples.

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