The aim of this paper is to value EIA contracts with surrender option at a fair price in a stochastic interest rate environment. A non Gaussian model is proposed where a new process called Kou Regime Switching process is introduced to give a more realistic modelling for financial prices. A...

The goal of this paper is to suggest a general approach for risk management by allowing jumps occurring in the underlying assets dynamics. This methodology is based on the generalized Fourier transform in line with the works of Lewis (2001), Boyarchenko and Levendorski i (2000) as well as...

This paper presents the implementation to the class of jump diffusion models of the approach used by Boyarchenko and Levendorskii (2002) in the case of exponential Lévy models. We show that this approach is more computationally efficient than the semi closed form solutions derived by Kou...

We develop a switching regime version of the intensity model for credit risk pricing. The default event is specified by a Poisson process whose intensity is modeled by a switching Lévy process. This model presents several interesting features. Firstly, as Lévy processes encompass numerous jump...

The Basle 2 Capital Accord issued by the Basle Committee on banking supervision has proposed a multiplier superior to 3 on banks' internal 99% 10-day Value-at-Risk calculated for market risk exposure. This ad hoc factor has not been fully explained and is poorly justified by arguing that the...

We introduce a new and complete ordering of prospects that is consistent with stochastic dominance (SD). Featuring loss aversion and skewness preference, it mitigates the low discriminatory power of SD and circumvents implementation difficulties associated with third order SD. To highlight its...