Affine diffusions and related processes : simulation, theory and applications

Author(s)

    • Alfonsi, Aurélien

Bibliographic Information

Affine diffusions and related processes : simulation, theory and applications

Aurélien Alfonsi

(Bocconi & Springer series / (series editors) Sandro Salsa ... [et al.], v. 6)

Springer , Bocconi University Press, c2015

Available at  / 2 libraries

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Note

Includes bibliographical references (p. 245-250) and index

Description and Table of Contents

Description

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.

Table of Contents

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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Details

  • NCID
    BB18751707
  • ISBN
    • 9783319052205
  • LCCN
    2015938922
  • Country Code
    sz
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cham,[Milan]
  • Pages/Volumes
    xiii, 252 p.
  • Size
    25 cm
  • Parent Bibliography ID
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