In this paper we investigate dependence properties and comparison results for multidimensional Lévy processes. In particular we address the questions, whether or not dependence properties and orderings of the copulas of the distributions of a Lévy process can be characterized by corresponding...

In the present work we study the asymptotic distribution of the age and residual life in a renewal process. The bivariate distribution so derived is Schur-constant with marginal distributions as equilibrium discuss the reliability properties and the copula. The bivariate ageing properties and...

There has been an on-going debate about choices of the most suitable model amongst a variety of model specifications and parameterizations. The first dissertation essay investigates whether asymmetric leptokurtic return distributions such as Hansen's (1994) skewed tdistribution combined with...

There has been an on-going debate about choices of the most suitable model amongst avariety of model specifications and parameterizations. The first dissertation essay investigateswhether asymmetric leptokurtic return distributions such as Hansen’s (1994) skewed tdistributioncombined with...

A new option pricing formula is presented that unifies several results of the existing literature on pricing exotic options under Lèvy processes. To demonstrate the flexibility of the formula a few examples are given which provide new valuation formulas within the Lévy framework

We present a fast and accurate FFT-based method of computing the prices and sensitivities of barrier options and first-touch digital options on stocks whose log-price follows a Lévy process. The numerical results obtained via our approach are demonstrated to be in good agreement with the...

The LIBOR market model is very popular for pricing interest rate derivatives, but is known to have several pitfalls. In addition, if the model is driven by a jump process, then the complexity of the drift term is growing exponentially fast (as a function of the tenor length). In this work, we...

In this paper we propose new option pricing models based on class of models with jump contain in the Lévy-type based models (NIG-Lévy, Merton-jump (Merton 1976) and Duan based model (Duan 2007)). By combining these different class of models with several volatility dynamics of the GARCH type,...

A fast and accurate method for pricing early exercise and certain exotic options in computational finance is presented. The method is based on a quadrature technique and relies heavily on Fourier transformations. The main idea is to reformulate the well-known risk-neutral valuation formula by...