Functionals of Multidimensional Diffusions with Applications to Finance

• 1 A Benchmark Approach to Risk Management.- 2 Functionals of Wiener Processes.- 3 Functionals of Squared Bessel Processes.- 4 Lie Symmetry Group Methods.- 5 Transition Densities via Lie Symmetry Methods.- 6 Exact and Almost Exact Simulation.- 7 Affine Diffusion Processes on the Euclidean Space.- 8 Pricing Using Affine Diffusions.- 9 Solvable Affine Processes on the Euclidean State Space.- 10 An Introduction to Matrix Variate Stochastics.- 11 Wishart Processes.- 12 Monte Carlo and Quasi-Monte Carlo Methods.- 13 Computational Tools.- 14 Credit Risk under the Benchmark Approach.- A Continuous Stochastic Processes.- B Time-Homogeneous Scalar Diffusions.- C Detecting Strict Local Martingales.

From the book reviews: "This book is a valuable contribution to the literature on applications of stochastic processes to financial mathematics, and can serve as a useful introduction to the various techniques needed in order to derive closed form expressions for a variety of functionals of multidimensional diffusions arising in financial models but also as a useful reference book, in which researchers and practitioners may retrieve various useful results." (Athanasios Yannacopoulos, Mathematical Reviews, March, 2015)