Laplace transformation is one of the most popular methods of solution of diffusion equations in many areas of science and technology. It is much less used in financial engineering. One reason is obvious: it is not supposed to be a way to solve a Nobel Prize winning problem. Another one is...

This paper discusses European option pricing under various discontinuous conditions: option and underlying prices as well as volatility and drift coefficients experience breaks. We consider vanilla and double-barrier options under double-exponential jump diffusion model with jump drift and jump...