American-Type Options
eBook - ePub

American-Type Options

Stochastic Approximation Methods, Volume 2

  1. 571 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

American-Type Options

Stochastic Approximation Methods, Volume 2

About this book

The book gives a systematical presentation of stochastic approximation methods for discrete time Markov price processes. Advanced methods combining backward recurrence algorithms for computing of option rewards and general results on convergence of stochastic space skeleton and tree approximations for option rewards are applied to a variety of models of multivariate modulated Markov price processes. The principal novelty of presented results is based on consideration of multivariate modulated Markov price processes and general pay-off functions, which can depend not only on price but also an additional stochastic modulating index component, and use of minimal conditions of smoothness for transition probabilities and pay-off functions, compactness conditions for log-price processes and rate of growth conditions for pay-off functions. The volume presents results on structural studies of optimal stopping domains, Monte Carlo based approximation reward algorithms, and convergence of American-type options for autoregressive and continuous time models, as well as results of the corresponding experimental studies.

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Yes, you can access American-Type Options by Dmitrii S. Silvestrov in PDF and/or ePUB format, as well as other popular books in Mathematics & Financial Accounting. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
2015
Print ISBN
9783110329681
eBook ISBN
9783110389906

Table of contents

  1. American-Type Options
  2. De Gruyter Studies in Mathematics
  3. Title Page
  4. Copyright Page
  5. Preface
  6. Table of Contents
  7. 1 Reward approximations for autoregressive log-price processes (LPP)
  8. 2 Reward approximations for autoregressive stochastic volatility LPP
  9. 3 American-type options for continuous time Markov LPP
  10. 4 Upper bounds for option rewards for Markov LPP
  11. 5 Time-skeleton reward approximations for Markov LPP
  12. 6 Time-space-skeleton reward approximations for Markov LPP
  13. 7 Convergence of option rewards for continuous time Markov LPP
  14. 8 Convergence of option rewards for diffusion LPP
  15. 9 European, knockout, reselling and random pay-off options
  16. 10 Results of experimental studies
  17. Bibliographical Remarks
  18. Bibliography
  19. Index
  20. De Gruyter Studies in Mathematics