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Tracking Error: a multistage portfolio model

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  • Diana Barro

    (Department of Applied Mathematics - University of Venice)

  • Elio Canestrelli

    (Department of Applied Mathematics - University of Venice)

Abstract

We study multistage tracking error problems. Different tracking error measures, commonly used in static models, are discussed as well as some problems which arise when we move from static to dynamic models. We are interested in dynamically replicating a benchmark using only a small subset of assets, considering transaction costs due to rebalancing and introducing a liquidity component in the portfolio. We formulate and solve a multistage tracking error model in a stochastic programming framework. We numerically test our model by dynamically replicating the MSCI Euro index. We consider an increasing number of scenarios and assets and show the superior performance of the dynamically optimized tracking portfolio over static strategies.

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File URL: http://128.118.178.162/eps/ge/papers/0510/0510012.pdf
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Bibliographic Info

Paper provided by EconWPA in its series GE, Growth, Math methods with number 0510012.

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Length: 25 pages
Date of creation: 28 Oct 2005
Date of revision:
Handle: RePEc:wpa:wuwpge:0510012

Note: Type of Document - pdf; pages: 25
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Web page: http://128.118.178.162

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  1. Barro, Diana & Canestrelli, Elio, 2005. "Dynamic portfolio optimization: Time decomposition using the Maximum Principle with a scenario approach," European Journal of Operational Research, Elsevier, vol. 163(1), pages 217-229, May.
  2. Cesari, Riccardo & Cremonini, David, 2003. "Benchmarking, portfolio insurance and technical analysis: a Monte Carlo comparison of dynamic strategies of asset allocation," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 987-1011, April.
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Cited by:
  1. 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".
  2. Diana Barro & Elio Canestrelli, 2012. "Downside risk in multiperiod tracking error models," Working Papers 2012_17, Department of Economics, University of Venice "Ca' Foscari".
  3. Diana Barro & Elio Canestrelli, 2008. "Tracking error with minimum guarantee constraints," Working Papers 172, Department of Applied Mathematics, Università Ca' Foscari Venezia.
  4. Diana Barro & Elio Canestrelli, 2005. "Time and nodal decomposition with implicit non-anticipativity constraints in dynamic portfolio optimization," GE, Growth, Math methods 0510011, EconWPA.
  5. Diana Barro & Elio Canestrelli, 2011. "Combining stochastic programming and optimal control to solve multistage stochastic optimization problems," Working Papers 2011_24, Department of Economics, University of Venice "Ca' Foscari", revised 2011.
  6. Diana Barro & Elio Canestrelli, 2012. "Dynamic tracking error with shortfall control using stochastic programming," Working Papers 2012_18, Department of Economics, University of Venice "Ca' Foscari", revised 2012.

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