Numerical probability : an introduction with applications to finance
/ Giles Pages
- Switzerland : Springer International Publication, 2018
- 579 p.
1. Simulation of random variables 2. The Monte Carlo method and applications to option pricing 3. Variance reduction 4. The Quasi-Monte Carlo method 5. Optimal quantization methods 1 : Cubatures 6. Stochastic approximation with applications to finance 7. Discretization scheme(s) of a Brownian diffusion 8. The diffusion bridge method: application to path dependent options (II) 9. Biased Monte carlo simulation, multilevel paradigm 10. Back to sensitivity computation 11. Optimal stopping, multi-asset American/Bermudan options 12. Miscellany