In this paper we introduce a new fast and accurate numerical method for pricing exotic derivatives when discrete monitoring occurs, and the underlying evolves according to a Markov one-dimensional stochastic processes. The approach exploits the structure of the matrix arising from the numerical...

In the present paper, we convert the usual <italic>n</italic>-step backward recursion that arises in option pricing into a set of independent integral equations by using a <italic>z</italic>-transform approach. In order to solve these equations, we consider different quadrature procedures that transform the integral equation...