Upper risk bounds in internal factor models with constrained specification sets  

作　　者：Jonathan Ansari Ludger Ruschendorf 

机构地区：[1]Department of Quantitative Finance,Albert-Ludwigs University of Freiburg,Platz der Alten Synagoge 1,KG II,79098 Freiburg i.Br.,Germany [2]Department of Mathematical Stochastics,Albert-Ludwigs University of Freiburg,Ernst-Zermelo-Straße 1,79104 Freiburg,Germany

出　　处：《Probability, Uncertainty and Quantitative Risk》2020年第1期38-67,共30页概率、不确定性与定量风险（英文）

摘　　要：For the class of(partially specified)internal risk factor models we establish strongly simplified supermodular ordering results in comparison to the case of general risk factor models.This allows us to derive meaningful and improved risk bounds for the joint portfolio in risk factor models with dependence information given by constrained specification sets for the copulas of the risk components and the systemic risk factor.The proof of our main comparison result is not standard.It is based on grid copula approximation of upper products of copulas and on the theory of mass transfers.An application to real market data shows considerable improvement over the standard method.

关 键 词：Risk bounds Risk factor model Supermodular order Convex order Convex risk measure Upper product of bivariate copulas COMONOTONICITY 

分 类 号：O17[理学—数学]