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Indexation of Fixed-Income Portfolios to the IMA-B


  • Emilio Ricardo Carvalhais

    (Banco do Brasil)

  • Antonio Marcos Duarte Júnior

    (Ibmec Business School)


This study considers the problem of indexing fixed-income portfolios to the ANBIMA Market Index – Series B (IMA-B), composed of Brazilian National Treasury Notes – Series B (NTNBs). We propose a mathematical model that minimizes the deviations of the returns of the chosen portfolio in relation to the returns of the index’s theoretical portfolio. The resulting model is a mathematical programming problem with convex objective function, linear constraints and free and non-negative integer variables. Five numerical examples with real data are presented to illustrate the model’s practical use. The results obtained from the fits are analyzed together with data for funds indexed to the IMA-B existing in the Brazilian financial market. The proposed method resulted in fits with optimal control of the tracking errors of the indexed portfolio.

Suggested Citation

  • Emilio Ricardo Carvalhais & Antonio Marcos Duarte Júnior, 2015. "Indexation of Fixed-Income Portfolios to the IMA-B," Brazilian Business Review, Fucape Business School, vol. 12(3), pages 116-142, May.
  • Handle: RePEc:bbz:fcpbbr:v:12:y:2015:i:3:p:116-142

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    References listed on IDEAS

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    7. Harper, Joel T. & Madura, Jeff & Schnusenberg, Oliver, 2006. "Performance comparison between exchange-traded funds and closed-end country funds," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(2), pages 104-122, April.
    8. Gaivoronski, Alexei A. & Krylov, Sergiy & van der Wijst, Nico, 2005. "Optimal portfolio selection and dynamic benchmark tracking," European Journal of Operational Research, Elsevier, vol. 163(1), pages 115-131, May.
    9. Eugene F. Fama & Kenneth R. French, 2010. "Luck versus Skill in the Cross-Section of Mutual Fund Returns," Journal of Finance, American Finance Association, vol. 65(5), pages 1915-1947, October.
    10. 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.
    11. Guastaroba, G. & Speranza, M.G., 2012. "Kernel Search: An application to the index tracking problem," European Journal of Operational Research, Elsevier, vol. 217(1), pages 54-68.
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