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Active portfolio management with benchmarking: Adding a value-at-risk constraint

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  • Alexander, Gordon J.
  • Baptista, Alexandre M.

Abstract

We examine the impact of adding a value-at-risk (VaR) constraint to the problem of an active manager who seeks to outperform a benchmark while minimizing tracking error variance (TEV) by using the model of Roll [1992. A mean/variance analysis of tracking error. Journal of Portfolio Management 18, 13-22]. We obtain three main results. First, portfolios on the constrained mean-TEV boundary still exhibit three-fund separation, but the weights of the three funds when the constraint binds differ from those in Roll's model. Second, the constraint mitigates the problem that when an active manager seeks to outperform a benchmark using the mean-TEV model, he or she selects an inefficient portfolio. Finally, when short sales are disallowed, the extent to which the constraint reduces the optimal portfolio's efficiency loss can still be notable but is smaller than when short sales are allowed.

Suggested Citation

  • Alexander, Gordon J. & Baptista, Alexandre M., 2008. "Active portfolio management with benchmarking: Adding a value-at-risk constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 32(3), pages 779-820, March.
    • Handle: RePEc:eee:dyncon:v:32:y:2008:i:3:p:779-820
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    References listed on IDEAS

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    1. Gordon J. Alexander & Alexandre M. Baptista, 2004. "A Comparison of VaR and CVaR Constraints on Portfolio Selection with the Mean-Variance Model," Management Science, INFORMS, vol. 50(9), pages 1261-1273, September.
    2. Brennan, Michael J., 1993. "Agency and Asset Pricing," University of California at Los Angeles, Anderson Graduate School of Management qt53k014sd, Anderson Graduate School of Management, UCLA.
    3. Jennifer N. Carpenter, 2000. "Does Option Compensation Increase Managerial Risk Appetite?," Journal of Finance, American Finance Association, vol. 55(5), pages 2311-2331, October.
    4. Juan-Pedro Gomez & Fernando Zapatero, 2003. "Asset pricing implications of benchmarking: a two-factor CAPM," The European Journal of Finance, Taylor & Francis Journals, vol. 9(4), pages 343-357.
    5. Berk, Jonathan B., 1997. "Necessary Conditions for the CAPM," Journal of Economic Theory, Elsevier, vol. 73(1), pages 245-257, March.
    6. Admati, Anat R & Pfleiderer, Paul, 1997. "Does It All Add Up? Benchmarks and the Compensation of Active Portfolio Managers," The Journal of Business, University of Chicago Press, vol. 70(3), pages 323-350, July.
    7. Alexander, Gordon J. & Baptista, Alexandre M., 2002. "Economic implications of using a mean-VaR model for portfolio selection: A comparison with mean-variance analysis," Journal of Economic Dynamics and Control, Elsevier, vol. 26(7-8), pages 1159-1193, July.
    8. Bertsimas, Dimitris & Lauprete, Geoffrey J. & Samarov, Alexander, 2004. "Shortfall as a risk measure: properties, optimization and applications," Journal of Economic Dynamics and Control, Elsevier, vol. 28(7), pages 1353-1381, April.
    9. Edwin J. Elton & Martin J. Gruber & Christopher R. Blake, 2003. "Incentive Fees and Mutual Funds," Journal of Finance, American Finance Association, vol. 58(2), pages 779-804, April.
    10. Chevalier, Judith & Ellison, Glenn, 1997. "Risk Taking by Mutual Funds as a Response to Incentives," Journal of Political Economy, University of Chicago Press, vol. 105(6), pages 1167-1200, December.
    11. Jennifer Carpenter, 1999. "Does Option Compensation Increase Managerial Risk Appetite?," New York University, Leonard N. Stern School Finance Department Working Paper Seires 99-076, New York University, Leonard N. Stern School of Business-.
    12. repec:bla:jfinan:v:53:y:1998:i:5:p:1589-1622 is not listed on IDEAS
    13. Mark Grinblatt & Sheridan Titman, 1989. "Adverse Risk Incentives and the Design of Performance-Based Contracts," Management Science, INFORMS, vol. 35(7), pages 807-822, July.
    14. Almazan, Andres & Brown, Keith C. & Carlson, Murray & Chapman, David A., 2004. "Why constrain your mutual fund manager?," Journal of Financial Economics, Elsevier, vol. 73(2), pages 289-321, August.
    15. Best, Michael J & Grauer, Robert R, 1991. "On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results," The Review of Financial Studies, Society for Financial Studies, vol. 4(2), pages 315-342.
    16. Alexander, Gordon J. & Baptista, Alexandre M., 2006. "Does the Basle Capital Accord reduce bank fragility? An assessment of the value-at-risk approach," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1631-1660, October.
    17. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    18. Tokat, Yesim & Rachev, Svetlozar T. & Schwartz, Eduardo S., 2003. "The stable non-Gaussian asset allocation: a comparison with the classical Gaussian approach," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 937-969, April.
    19. Starks, Laura T., 1987. "Performance Incentive Fees: An Agency Theoretic Approach," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(1), pages 17-32, March.
    20. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
    21. Owen, Joel & Rabinovitch, Ramon, 1983. "On the Class of Elliptical Distributions and Their Applications to the Theory of Portfolio Choice," Journal of Finance, American Finance Association, vol. 38(3), pages 745-752, June.
    22. Alexander, Gordon J, 1993. "Short Selling and Efficient Sets," Journal of Finance, American Finance Association, vol. 48(4), pages 1497-1506, September.
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