This paper investigates the pricing and weak convergence of an asymmetric non-affine, non-Gaussian GARCH model when the risk-neutralization is based on a variance dependent exponential linear pricing kernel with stochastic risk aversion parameters. The risk-neutral dynamics are obtained for a...

In this paper, we develop a Markov chain-based approximation method to price arithmetic Asian options for short maturities under the case of geometric Brownian motion. It has the advantage of being a closed-form approximation involving only matrices. It is an accurate, efficient, and stable...

An exchange option, also called “Margrabe option”, gives the right, but not the obligation to exchange an asset for another asset. In a recent paper in the Encyclopedia of Quantitative Finance (2010), Professor Rolf Poulsen writes that “[t]he Margrabe formula is still valid with stochastic...

Reformulating the results of del Baño Rollin, Ferreiro-Castilla, and Utzet (2010), we are able to give necessary and sufficient conditions for the moments of the stock price to exist and extend Theorem 2.1 of Forde and Jacquier (2011). Precisely Forde and Jacquier (2011) provide necessary...

This is a short comment on Kung and Lee's paper. In this note, we show that the formulae given in Kung and Lee (2009) for European call and put option under Merton's model of the short rate are incorrect. We give the correct derivations making use of the "change of numeraire" technique which is...