In this paper, we propose a multivariate Lévy model as an extension of the univariate Difference of Gammas model introduced by Finlay and Seneta. The construction is based on the work of Mathai and Moschopoulos, where we model the log price gains and losses by separate Gamma processes, each...

This paper provides a new market implied calibration based on a moment matching methodology where the moments of the risk-neutral density function are inferred from at-the-money and out-the-money European vanilla option quotes. In particular, we derive a model independent risk-neutral formula...

This paper provides a comparison of the exponential copula Lévy model with the classical Gaussian copula model for the pricing of CDO-squared tranches. Several approximations of the recursive approach are considered: a full Monte Carlo approximation, a multivariate Normal approximation of the...

This paper extends the moment matching market implied calibration procedure to Markov models with piecewise constant parameters between successive quoted option maturities. The Markov property allows us to determine the parameter set of each subprocess by a bootstrapping moment matching...

This paper features a market implied methodology to infer adequate starting values for the spot and long run variances and for the mean reversion rate of a calibration exercise under the Heston model. More particularly, these initial parameters are obtained by matching the term structure of the...

This paper proposes different diffusion processes to model herd behavior indices such as the Herd Behavior Index (HIX) or the comonotonicity index (CIX). These models arise by combining popular mean-reverting processes with simple algebraic functions mapping the definition domain of the...