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A New Lp Model For Enhanced Indexation

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  • Renato Bruni
  • Francesco Cesarone
  • Andrea Scozzari
  • Fabio Tardella

Abstract

Enhanced Indexation is the problem of selecting a portfolio that should produce excess return with respect to a given benchmark index. In this work we propose a linear bi-objective optimization approach to Enhanced Indexation that maximizes average excess return and minimizes underperformance over a learning period. This can be formulated as a simple Linear Programming problem that is solved to optimality by standard LP codes. Moreover, we investigate conditions that guarantee or forbid the existence of a portfolio strictly outperforming the index. We present extensive computational analysis of the results on publicly available real-world nancial datasets, including comparison with previous results, performance and diversi cation analysis, and empirical veri cation of some of the proposed theoretical results.

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File URL: http://dipeco.uniroma3.it/public/wp%20168.pdf
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Bibliographic Info

Paper provided by Department of Economics - University Roma Tre in its series Departmental Working Papers of Economics - University 'Roma Tre' with number 0168.

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Length: 23
Date of creation: Nov 2012
Date of revision:
Handle: RePEc:rtr:wpaper:0168

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Keywords: Enhanced Indexation; Linear Programming; Performance Analysis; Portfolio Management; No Arbitrage condition.;

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  1. Dose, Christian & Cincotti, Silvano, 2005. "Clustering of financial time series with application to index and enhanced index tracking portfolio," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 145-151.
  2. Beasley, J. E. & Meade, N. & Chang, T. -J., 2003. "An evolutionary heuristic for the index tracking problem," European Journal of Operational Research, Elsevier, vol. 148(3), pages 621-643, August.
  3. Canakgoz, N.A. & Beasley, J.E., 2009. "Mixed-integer programming approaches for index tracking and enhanced indexation," European Journal of Operational Research, Elsevier, vol. 196(1), pages 384-399, July.
  4. Prisman, Eliezer Z, 1986. " Valuation of Risky Assets in Arbitrage Free Economies with Frictions," Journal of Finance, American Finance Association, vol. 41(3), pages 545-57, July.
  5. Andrea Scozzari & Fabio Tardella & Sandra Paterlini & Thiemo Krink, 2012. "Exact and Heuristic Approaches for the Index Tracking Problem with UCITS Constraints," Department of Economics 0685, University of Modena and Reggio E., Faculty of Economics "Marco Biagi".
  6. Adam, Alexandre & Houkari, Mohamed & Laurent, Jean-Paul, 2008. "Spectral risk measures and portfolio selection," Journal of Banking & Finance, Elsevier, vol. 32(9), pages 1870-1882, September.
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