Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics,
Volume Designation
volume 6
ISSN of Series
2039-1471 ;
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index
CONTENTS NOTE
Text of Note
1 Real valued affine diffusions -- 2 An introduction to simulation schemes for SDEs -- 3 Simulation of the CIR process -- 4 The Heston model and multidimensional affine diffusions -- 5 Wishart processes and affine diffusions on positive semidefinite matrices -- 6 Processes of Wright-Fisher type -- 7 Appendix A Some results on matrices -- 8 Appendix B Simulation of a gamma random variable
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SUMMARY OR ABSTRACT
Text of Note
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
OTHER EDITION IN ANOTHER MEDIUM
Title
Affine diffusions and related processes : simulation, theory and applications.