Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Recommended product

Popular links

Popular links


Mathematics of Derivative Securities

Mathematics of Derivative Securities

Mathematics of Derivative Securities

Michael A. H. Dempster, University of Cambridge
Stanley R. Pliska, University of Illinois, Chicago
December 1997
Available
Hardback
9780521584241
AUD$273.64
exc GST
Hardback

    During 1995 the Isaac Newton Institute for the Mathematical Sciences at Cambridge University hosted a six month research program on financial mathematics. During this period more than 300 scholars and financial practitioners attended to conduct research and to attend more than 150 research seminars. Many of the presented papers were on the subject of financial derivatives. The very best were selected to appear in this volume. They 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. Hence this book will be of interest to 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

    ' … offers superb insight into many classical and less classical issues of modern quantitative finance.' Rudi Bogni, The Times Higher Education Supplement

    'Merton, in his Foreword, characterizes the contents as 'representative of the high quality and mathematical sophistication of research in the field.' … I have no reason to differ with this evaluation.' Peter Bloomfield, JASA

    See more reviews

    Product details

    December 1997
    Hardback
    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.
      Contributors
    • R. C. Merton, L. C. G. Rogers, S. D. Hodges, M. J. P. Selby, P. Artzner, N. J. Cutland, P. E. Kopp, W. Willinger, M. C. Wyman, M. Chesnay, H. Geman, M. Jeanblanc-Piqué, M. Yor, A. Mbanefo, B. Dupire, R. J. Elliott, C. H. Lahaie, D. B. Madan, J.-P. Bouchard, D. Sornette, M. Potters, M. J. Brennan, N. I. Crew, J. Cvitanic, M. Frittelli, M. H. A. Davis, F. Mercurio, T. C. F. Vorst, P. H. Dybvig, B. Flesaker, L. P. Hughston, M. W. Baxter, A. Brace, M. Musiela, D. Lando, S. H. Babbs, N. J. Webber, H. Lindberg, L. El-Jahel, W. Perraudin, S. K. Gandhi, P. J. Hunt, M. A. H. Dempster, J. P. Hutton, H. J. Kushner, J. P. Lehoczky, S. H. Paskov

    • Editors
    • Michael A. H. Dempster , University of Cambridge
    • Stanley R. Pliska , University of Illinois, Chicago