Abstract It is standard in quantitative risk management to model a random vector ${\mathbf {X}:=\lbrace X_{t_k}\rbrace _{k=1,\ldots ,d}}$ of consecutive log-returns to ultimately analyze the probability law of the accumulated return ${X_{t_1}+\cdots +X_{t_d}}$ . By the Markov regression...

We present a new portfolio default model based on a conditionally independent and identically distributed (CIID) structure of the default times. It combines an intensity-based ansatz in the spirit of Duffie and Gârleanu (2001). Risk and valuation of collateralized debt obligations. <italic>Financial...</italic>

We present a unification of the Archimedean and the Lévy-frailty copula model for portfolio default models. The new default model exhibits a copula known as scale mixture of Marshall-Olkin copulas and an investigation of the dependence structure reveals that desirable properties of both...

This tome provides the reader with a background on simulating copulas and multivariate distribution in general. It unifies the scattered literature on the simulation of various families of copulas as well as on different construction principles