Stochastic differential equations with jumps -- Exact simulation of solutions of SDEs -- Benchmark approach to finance and insurance -- Stochastic expansions -- Introduction to scenario simulation -- Regular strong taylor approximations with jumps -- Regular strong ito approximations -- Jump-adapted strong approximations -- Estimating discretely observed diffusions -- Filtering -- Monte Carlo simulation of SDEs -- Regular weak taylor approximations -- Jump-adapted weak approximations -- Numerical stability -- Martingale representations and hedge ratios -- Variance reduction techniques -- Trees and markov chain approximations -- Solutions for exercises

1. Stochastic differential equations
2. Jump processes