Skip to main content

Application of HPC to medium-size stochastic systems with non-linear constraints in finance

  • 2. Computational Science
  • Conference paper
  • First Online:
High-Performance Computing and Networking (HPCN-Europe 1998)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1401))

Included in the following conference series:

Abstract

This paper presents results of multi-stage numerical optimisation of medium sized financial portfolios using High Performance Computing. Linear and non-linear constraints are applied and the optimisation process is designed to handle multiple markets in multiple countries, producing a series of alternative scenarios dependent upon a number of risk-rcturn requirements. The portfolio is allowed to contain instruments for which stochastic or historic data (or some combination) is available. Comparative performance is discussed for both real and artificial data sets and extrapolation to very large datasets will be presented. The comparative benefits of the deployment of large scale High Performance Computing in this class of problem are made.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Bernstein P.L. 1996 “ Against the Gods”, John Wiley and Sons-and references therein.

    Google Scholar 

  • Dzwig P., 1996 “High Performance Computing for Finance” in “Parallel Computing: State of the Art and Perspectives”, D' Hollander E., Joubert G.R., Peters F.J. and Trystram D. Vol 11 of Advances in Parallel Computing, Springer, 1996

    Google Scholar 

  • Dzwig P., 1998 “High Performance Processing for Finance” to appear in “Handbook in Information Systems Series, vol 5: Parallel and Distributed Processing”, editors, Blazewicz J., Ecker K., Plateau and Trystram D., Springer 1998

    Google Scholar 

  • Elton E.J and Gruber M.J. 1995, “Modern Portfolio Theory and Investment Analysis”, (5th Edition), John Wiley and Sons

    Google Scholar 

  • Gill P., Murray W., and Wright M., 1981 “Practical Optimisation” Academic Press

    Google Scholar 

  • Hodgson G., Dzwig, P., Liddell H. and Parkinson D. 1997, 21st EURO Workshop on Financial Modelling, Venice, October 1997

    Google Scholar 

  • Hodgson G., Dzwig, P., Liddell H. and Parkinson D. 1998, to appear

    Google Scholar 

  • Joubert A.W. and Rogers L.C.G. 1994, “Ticking over in teal time” In “Quantitative and Computational Finance”, p 199, UNICOM 1994

    Google Scholar 

  • Markowitz H.M. 1952, Journal of Finance, 7, 1, p. 77

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Peter Sloot Marian Bubak Bob Hertzberger

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Hodgson, G.S., Dzwig, P., Liddell, H.M., Parkinson, D. (1998). Application of HPC to medium-size stochastic systems with non-linear constraints in finance. In: Sloot, P., Bubak, M., Hertzberger, B. (eds) High-Performance Computing and Networking. HPCN-Europe 1998. Lecture Notes in Computer Science, vol 1401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0037168

Download citation

  • DOI: https://doi.org/10.1007/BFb0037168

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64443-9

  • Online ISBN: 978-3-540-69783-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics