Mathematics of Derivative Securities
Mathematics of Derivative Securities
October 1997
Hardback
9780521584241
$284.00
USDHardback
The papers in this volume address various aspects of financial derivatives that range from abstract financial theory to practical issues pertaining to the pricing and hedging of interest rate derivatives and exotic options in the market place. This broad and important collection will interest both academic scholars and financial engineers.
- Unique book that covers both theoretical ideas and their implementation in practice
- Top contributors
- International selection of authors from both banking and academic institutes
Reviews & endorsements
"The papers are of exceptionally high quality, and the book works on different levels--as an introduction to the field or its particular aspects, as a survey of existing theories, models and techniques, and as a source for getting insight about important new directions and unsolved problems." Jaksa Cvitani^D'c, Mathematical Reviews
Product details
October 1997Hardback
9780521584241
600 pages
236 × 159 × 43 mm
1.085kg
60 b/w illus. 40 tables
Available
Table of Contents
- Foreword R. C. Merton
- Part I. Introduction:
- 1. Editors' introduction
- 2. Stochastic calculus and Markov methods L. C. G. Rogers
- 3. The risk premium in trading equilibria which support Black-Scholes option pricing S. D. Hodges and M. J. P. Selby
- 4. On the numeraire portfolio P. Artzner
- Part II. Option Pricing and Hedging:
- 5. Convergence of Snell envelopes and critical prices in the American Put N. J. Cutland, P. E. Kopp, W. Willinger and M. C. Wyman
- 6. Some combination of Asian, Parisian and Barrier options M. Yor, M. Chesnay, H. Geman and M. Jeanblanc-Piqué
- 7. Co-movement term structure and the valuation of crack energy spread options A. Mbanefo
- 8. Pricing and hedging with Smiles B. Dupire
- 9. Filtering derivative security valuations from market prices R. J. Elliott, C. H. Lahaie and D. B. Madan
- 10. Option pricing in the presence of extreme fluctuations J.-P. Bouchard, D. Sornette and M. Potters
- 11. Hedging long maturity commodity commitments with short-dated futures contracts M. J. Brennan and N. I. Crew
- 12. Nonlinear financial markets: hedging and portfolio optimization J. Cvitanic
- 13. Semimartingales and asset pricing under constraints M. Frittelli
- 14. Option pricing in incomplete markets M. H. A. Davis
- 15. Option pricing and hedging in discrete time with transaction costs F. Mercurio and T. C. F. Vorst
- Part III. Term Structure and Interest Rate Derivatives:
- 16. Bond and bond option pricing based on the current term structure P. H. Dybvig
- 17. Dynamic models for yield curve evolution B. Flesaker and L. P. Hughston
- 18. General interest rate models and the universality of HJM M. W. Baxter
- 19. Swap derivatives in a Gaussian HJM framework A. Brace and M. Musiela
- 20. Modelling bonds and derivatives with default risk D. Lando
- 21. Term structure modelling under alternative official regimes S. H. Babbs and N. J. Webber
- 22. Interest rate distributions, yield curve modelling and monetary policy L. El-Jahel, H. Lindberg and W. Perraudin
- Part IV. Numerical Methods:
- 23. Numerical option pricing using conditioned diffusions S. K. Gandhi and P. J. Hunt
- 24. Numerical valuation of cross-currency swaps and swaptions M. A. H. Dempster and J. P. Hutton
- 25. Numerical methods for stochastic control problems in finance H. J. Kushner
- 26. Simulation methods for option pricing J. P. Lehoczky
- 27. New methodologies for valuing derivatives S. H. Paskov.
