Abstract
We apply Mangasarian and Bennett’s multi-surface method to the problem of allocating financial capital to individual stocks. The strategy constructs market neutral portfolios wherein capital exposure to long positions equals exposure to short positions at the beginning of each weekly period. The optimization model generates excess returns above the S&P 500, even in the presence of reasonable transaction costs. The trading strategy generates statistical arbitrage for trading costs below 10 basis points per transaction.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
AMPL Optimization LLC. AMPL Modeling Language.
K. Bennett and O. L. Mangasarian. Robust Linear Programming Discrimination of Two Linearly Inseparable Sets. Optimization Methods and Software, 1:23–34, 1992.
J. Bi, K. Bennett, M. Embrechts, C. M. Breneman, and M. Song. Dimensionality Reduction via Sparse Support Vector Machines. Journal of Machine Learning Research, 3:1229–1243, March 2003.
P. S. Bradley and O. L. Mangasarian. Feature Selection via Concave Minimization and Support Vector Machines. In J. Shavlik, editor, Machine Learning Proceedings of the Fifteenth International Conference(ICML’ 98), pages 82–90, San Francisco, CA, 1998.
N. Cristianini and J. Shawe-Taylor. An Introduction to Support Vector Machines. Cambridge University Press, 2000.
Dash Optimization Inc, Englewood Cliffs, NJ. Xpress-MP Optimizer.
G. M. Fung and O. L. Mangasarian. A Feature Selection Newton Method for Support Vector Machine Classification. Computational Optimization and Applications, 28:185–202, 2004.
T. Hastie, R. Tibshirani, and J. Friedman. The Elements of Statistical Learning. Springer-Verlag, New York, 2001.
S. Hogan, R. Jarrow, M. Teo, and M. Warachka. Testing market efficiency using statistical arbitrage with applications to momentum and value strategies. Journal of Financial Economics, forthcoming.
H. Hong, W. Torous, and R. Valkanov. Do Industries Lead Stock Markets? July 2003.
ILOG CPLEX Division, Incline Village, NV. CPLEX Optimizer.
R. Jarrow. Finance Theory. Pretince-Hall, 1988.
B. Lehmann. Fads, Martingales, and Market Efficiency. The Quarterly Journal of Economics, 105(1):1–28, February 1990.
O. L. Mangasarian, W. N. Street, and W. H. Wolberg. Breast Cancer Diagnosis and Prognosis via Linear Programming. Operations Research, 43(4):570–577, Jul–Aug 1995.
W. Sharpe. Asset Allocation: Management Style and Performance Measurement. The Journal of Portfolio Management, pages 7–19, Winter 1992.
V. Vapnik. The Nature of Statistical Learning Theory. Springer-Verlag, New York, 1999.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer Science+Business Media, Inc.
About this paper
Cite this paper
Mulvey, J.M., Thompson, A.J. (2005). Statistical Learning Theory in Equity Return Forecasting. In: Golden, B., Raghavan, S., Wasil, E. (eds) The Next Wave in Computing, Optimization, and Decision Technologies. Operations Research/Computer Science Interfaces Series, vol 29. Springer, Boston, MA . https://doi.org/10.1007/0-387-23529-9_15
Download citation
DOI: https://doi.org/10.1007/0-387-23529-9_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-23528-8
Online ISBN: 978-0-387-23529-5
eBook Packages: Computer ScienceComputer Science (R0)