Ebook: Affine Diffusions and Related Processes: Simulation, Theory and Applications

This book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes. It focuses on different simulation schemes for these processes, especially second-order schemes for the weak error. It also presents some models, mostly in the field of finance, where these methods are relevant and provides some numerical experiments.

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Self contained and clear overview on affine diffusions Presents the latest algorithms for simulating these processes and compares their efficiency Explains and shows why and how these processes are used in Quantitative Finance This book gives an overview of affine diffusions, from Ornstein-Uhlenbeck processes to Wishart processes and it considers some related diffusions such as Wright-Fisher processes. It focuses on different simulation schemes for these processes, especially second-order schemes for the weak error. It also presents some models, mostly in the field of finance, where these methods are relevant and provides some numerical experiments. The book explains the mathematical background to understand affine diffusions and analyze the accuracy of the schemes Related Subjects: Quantitative Finance,Statistics for Business, Economics, Mathematical Finance, Insurance Probability Theory and Stochastic Processes, Computational Mathematics and Numerical Analysis Mathematical and Computational Biology