Computational Methods for Quantitative Finance

1.Introduction.- Part I.Basic techniques and models: 2.Notions of mathematical finance.- 3.Elements of numerical methods for PDEs.- 4.Finite element methods for parabolic problems.- 5.European options in BS markets.- 6.American options.- 7.Exotic options.- 8.Interest rate models.- 9.Multi-asset options.- 10.Stochastic volatility models-. 11.Lévy models.- 12.Sensitivities and Greeks.- Part II.Advanced techniques and models: 13.Wavelet methods.- 14.Multidimensional diffusion models.- 15.Multidimensional Lévy models.- 16.Stochastic volatility models with jumps.- 17.Multidimensional Feller processes.- Apendices: A.Elliptic variational inequalities.- B.Parabolic variational inequalities.- References.​- Index.