We consider discretely monitored barrier options under Levy models, including single and double barrier options and first touch digitals, as well as CDS and defaultable bonds. At each step of backward induction, we use piece-wise polynomial interpolation and an efficient version of the Fourier...

We describe a fast new method for the market implied calibration of the Heston (1993) model for equity, based on an improved version of the parabolic pricing algorithm of Levendorskii (2012). This pricing method, when used in the calibration, is much faster and more accurate, and better...