Index tracking and enhanced indexation using a parametric approach
Keywords:
Index tracking, Enhanced indexation, ParametricAbstract
Based on the work of Brandt et al.(2009), we formulate an index tracking and enhanced indexation model using a parametric approach. The portfolio weights are modeled as functions of assets characteristics and similarity measures of the assets with the index to track. This approach permits handling nonlinear and nonconvex objectives functions that are difficult to incorporate in existing index tracking and enhanced indexation models. Additionally, this approach gives the investor more information about the portfolio holdings since the optimization is performed over portfolio strategies. Finally, an empirical implementation and an analysis of selected characteristics are presented for the S&P500 index.
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References
Alexander,C.(1999). Optimalhedgingusing cointegration. Philosophical Transactions of The Royal Society of London Series A – Mathematical Physical and Engineering Sciences, 357, 2039–2058.
Alexander, C., & Dimitriu, A. (2005). Index and statistical arbitrage: Tracking error or cointegration? Journal of Portfolio Management, 31, 50–63.
Beasley, J. E., Meade, N., & Chang, T. J. (2003). An evolutionary heuristic for the index tracking problem. European Journal of Operational Research, 148(3), 621–643.
Bienstock, D. (1996). Computational study of a family of mixed-integer quadratic programming models. Mathematical Programming, 74, 121–140.
Brandt, M. W., Santa-Clara, P., & Valkanov, R. (2009). Parametric portfolio choices: Exploiting characteristics in the cross section of equity returns. Review of Financial Studies, 22(9), 3411–3447.
Canakgoz, N., & Beasley, J. E. (2008). Mixed-integer programming approaches for index tracking and enhanced indexation. European Journal of Operational Research, 196, 384–399.
Corielli, F., & Marcellino, M. (2006). Factor based index tracking. Journal of Banking and Finance, 30, 2215–2233.
Cornuejols, G., & Tütüncü, R. (2007). Optimization methods in finance. Cambridge University Press.
DeMiguel, V., Garlappi, L., & Uppal, R. (2009). Optimal versus naive diversification: How inefficient is the 1/N portfolio strategy? Review of Financial Studies, 22, 1915–1953.
Derigs, U., & Nickel, N. (2003). Meta-heuristic based decision support for portfolio optimization with a case study on tracking error minimization in passive portfolio management. OR Spectrum, 25, 345–378.
Focardi, S., & Fabozzi, F. (2004). A methodology for index tracking based on timeseries clustering. Quantitative Finance, 4, 417–425.
Gaivoronski, A., Krylov, S., & van der Wijst, N. (2005). Optimal portfolio selection and dynamic benchmark tracking. European Journal of Operational Research, 163, 115–131.
Leland, H. (2000). Optimal portfolio implementation with transaction costs and capital gain taxes. In Working paper. Berkeley: University of California.
Oh, K., Kim, T., & Min, S. (2005). Using genetic algorithm to support portfolio optimization for index fund management. Expert Systems with Application, 28, 371–379.
Rudd, A. (1980). Optimal selection of passive portfolios. Financial Management, 57–66.
Sharpe, W.(1988). Determining a fund’s effective asset mix. Investment Management Review, 59–69.
Sharpe, W. (1992). Asset allocation: Management style and performance measurement. Journal of Portfolio Management, 7–19.
Stoyan, A., & Kwon, B. (2007). A two-stage stochastic mixed-integer programming approach to the index tracking problem. In Working Paper. University of Toronto.
Yao, D., Zhang, S., & Zhou, X. (2006). Tracking a financial benchmark using a few
assets. Operations Research, 54, 232–246
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