TY - JOUR
T1 - Sequential Monte Carlo Samplers for capital allocation under copula-dependent risk models
AU - Targino, Rodrigo S.
AU - Peters, Gareth W.
AU - Shevchenko, Pavel V.
PY - 2015/3/1
Y1 - 2015/3/1
N2 - In this paper 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.
AB - In this paper 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.
UR - http://www.scopus.com/inward/record.url?scp=84922724832&partnerID=8YFLogxK
U2 - 10.1016/j.insmatheco.2015.01.007
DO - 10.1016/j.insmatheco.2015.01.007
M3 - Article
AN - SCOPUS:84922724832
SN - 0167-6687
VL - 61
SP - 206
EP - 226
JO - Insurance: Mathematics and Economics
JF - Insurance: Mathematics and Economics
ER -