In this paper we look at one factor models for TABX, the tranches of ABX.HE. Both the Gaussian copula and Levy base correlation method are applied to price the tranches. We describe adaptations made to the standard recursive approach for pricing TABX. next we compare the gaussian copula...

In an earlier paper we treated the concept of Base Expected Loss (BEL) (both for the Gaussian Copula and Levy Base Correlation models) as an arbitrage free approach to interpolate the base correlation curves for pricing non-standard tranches of the standardized credit indices. In this paper we...

The vicious positive and negative feedback loops (vicious reflexivities) that occur in all areas of the social sciences have the same structure as the logical paradoxes of the Liar and Anti-Liar, and of the corresponding Russell and Anti-Russell paradoxes in set theory. In recent decades the...

We solve the escape problem for the Heston random diffusion model. We obtain exact expressions for the survival probability (which amounts to solving the complete escape problem) as well as for the mean exit time. We also average the volatility in order to work out the problem for the return...

In this paper we suggest a new technique to construct Markov processes by means of products of copula functions, in the spirit of Darsow et al, (1992). The approach requires to define: i) a sequence of distribution functions of the increments of the process; ii) a sequence of copula functions...

We consider a market consisting of multiple assets under jump-diffusion dynamics with European style options written on these assets. It is well-known that such markets are incomplete in the Harrison and Pliska sense. We derive a pricing relation by adopting a Radon-Nikodym derivative based on...

This paper presents the concept of copula from a practical standpoint. Given the widened use of the multinormal distribution, we argue its inadequacy, while advocate for using the copula as an alternative and better approach. We examine what the copulas are used for within of risk management....

This paper focuses on the methodology described in CreditRisk+ Technical Document. Appendix A provides analytical explanations of the techniques used to generate the loss distribution arising from a credit portfolio. It is worth mentioning that although the underlying concepts are easy to grasp...

In a multidimensional exponential Leacute;vy setting, we consider equivalent martingale measures minimizing generalized relative entropy. A family of generalized entropies corresponding to all q-optimal martingale measures is investigated in a unified way. Restricting the jump sizes of the...

We discuss how implied volatilities for OTC traded Asian options can be computed by combining Monte Carlo techniques with the Newton method in order to solve nonlinear equations. The method relies on accurate and fast computation of the corresponding vegas of the option. In order to achieve this...