Continuous Time Processes for Finance Switching, Self-exciting, Fractional and other Recent Dynamics

This book explores recent topics in quantitative finance with an emphasis on applications and calibration to time-series. This last aspect is often neglected in the existing mathematical finance literature while it is crucial for risk management. The first part of this book focuses on switching regi...

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Bibliographic Details
Main Author: Hainaut, Donatien
Format: eBook
Language:English
Published: Cham Springer International Publishing 2022, 2022
Edition:1st ed. 2022
Series:Bocconi & Springer Series, Mathematics, Statistics, Finance and Economics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • Preface
  • Acknowledgements
  • Notations
  • 1. Switching Models: Properties and Estimation
  • 2. Estimation of Continuous Time Processes by Markov Chain Monte Carlo
  • 3. Particle Filtering and Estimation
  • 4. Modeling of Spillover Effects in Stock Markets
  • 5. Non-Markov Models for Contagion and Spillover
  • 6. Fractional Brownian Motion
  • 7. Gaussian Fields for Asset Prices
  • 8. Lévy Interest Rate Models With a Long Memory
  • 9. Affine Volterra Processes and Rough Models
  • 10. Sub-Diffusion for Illiquid Markets
  • 11. A Fractional Dupire Equation for Jump-Diffusions
  • References