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.
Preview
Unable to display preview. Download preview PDF.
References
Bernstein P.L. 1996 “ Against the Gods”, John Wiley and Sons-and references therein.
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
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
Elton E.J and Gruber M.J. 1995, “Modern Portfolio Theory and Investment Analysis”, (5th Edition), John Wiley and Sons
Gill P., Murray W., and Wright M., 1981 “Practical Optimisation” Academic Press
Hodgson G., Dzwig, P., Liddell H. and Parkinson D. 1997, 21st EURO Workshop on Financial Modelling, Venice, October 1997
Hodgson G., Dzwig, P., Liddell H. and Parkinson D. 1998, to appear
Joubert A.W. and Rogers L.C.G. 1994, “Ticking over in teal time” In “Quantitative and Computational Finance”, p 199, UNICOM 1994
Markowitz H.M. 1952, Journal of Finance, 7, 1, p. 77
Author information
Authors and Affiliations
Editor information
Rights 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