Estimation risk and the implicit value of index-tracking

References

• Alexander, G.J. and Baptista, A.M., Active portfolio management with benchmarking: A frontier based on alpha. J. Bank. Financ., 2010, 34, 2185–2197.
   Web of Science ®Google Scholar
• Alexander, G.J., Baptista, A.M. and Yan, S., Portfolio selection with mental accounts and estimation risk. J. Empir. Finance, 2017, 41, 161–186.
   Web of Science ®Google Scholar
• Best, M.J. and Grauer, R.R., On the sensitivity of mean-variance-efficient portfolios to changes in asset means: Some analytical and computational results. Rev. Financ. Stud., 1991, 4, 315–342.
   Web of Science ®Google Scholar
• Black, F. and Litterman, R., Global portfolio optimization. Financ. Anal. J., 1992, 48, 28–43.
   Google Scholar
• Bodnar, T. and Schmid, W., Econometrical analysis of the sample efficient frontier. Euro. J. Finance, 2009, 15, 317–335.
   Web of Science ®Google Scholar
• Broadie, M., Computing efficient frontiers using estimated parameters. Ann. Oper. Res., 1993, 45, 21–58.
   Google Scholar
• Canty, A. and Ripley, B.D., Chapter title. boot: Bootstrap R (S-Plus) Functions R package version 1.3-20, 2017.
   Google Scholar
• Carhart, M.M., On persistence in mutual fund performance. J. Finance, 1997, 52, 57–82.
   Web of Science ®Google Scholar
• Chopra, V.K. and Ziemba, W.T., The effect of errors in means, variances, and covariances on optimal portfolio choice, 1993.
   Google Scholar
• Cremers, M., Ferreira, M.A., Matos, P. and Starks, L., Indexing and active fund management: International evidence. J. Financ. Econ., 2016, 120, 539–560.
   Web of Science ®Google Scholar
• DeMiguel, V. and Nogales, F.J., Portfolio selection with robust estimation. Oper. Res., 2009, 57, 560–577.
   Web of Science ®Google Scholar
• DeMiguel, V., Garlappi, L., Nogales, F.J. and Uppal, R., A generalized approach to portfolio optimization: Improving performance by constraining portfolio norms. Manage. Sci., 2009a, 55, 798–812.
   Web of Science ®Google Scholar
• DeMiguel, V., Garlappi, L. and Uppal, R., Optimal versus naive diversification: How inefficient is the 1/N portfolio strategy?. Rev. Financ. Stud., 2009b, 22, 1915–1953.
   Web of Science ®Google Scholar
• DeMiguel, V., Plyakha, Y., Uppal, R. and Vilkov, G., Improving portfolio selection using option-implied volatility and skewness. J. Financ. Quant. Anal., 2013, 48, 1813–1845.
   Web of Science ®Google Scholar
• Disatnik, D.J. and Benninga, S., Shrinking the covariance matrix. J. Portfolio Manage., 2007, 33, 55–63.
   Web of Science ®Google Scholar
• Edirisinghe, C., Index-tracking optimal portfolio selection. Quant. Finance Lett., 2013, 1, 16–20.
   Google Scholar
• Edirisinghe, C. and Zhao, Y., Smart indexing under regime-switching economic states. Appl. Math. Finance, 2020, 27, 422–456. https://doi.org/https://doi.org/10.1080/1350486X.2021.1891554.
   Google Scholar
• Fama, E.F. and French, K.R., Common risk factors in the returns on stocks and bonds. J. Financ. Econ., 1993, 33, 3–56.
   Web of Science ®Google Scholar
• Frankfurter, G.M., Phillips, H.E. and Seagle, J.P., Portfolio selection: The effects of uncertain means, variances, and covariances. J. Financ. Quant. Anal., 1971, 6, 1251–1262.
   Web of Science ®Google Scholar
• Garlappi, L., Uppal, R. and Wang, T., Portfolio selection with parameter and model uncertainty: A multi-prior approach. Rev. Financ. Stud., 2007, 20, 41–81.
   Web of Science ®Google Scholar
• Haugen, R. and Baker, N., The efficient market inefficiency of capitalization-weighted stock portfolios. J. Portfolio Manage., 1991, 17, 35–40.
   Web of Science ®Google Scholar
• Jagannathan, R. and Ma, T., Risk reduction in large portfolios: Why imposing the wrong constraints helps. J. Finance., 2003, 58, 1651–1684.
   Web of Science ®Google Scholar
• Jorion, P., Bayes-Stein estimation for portfolio analysis. J. Financ. Quant. Anal., 1986, 21, 279–292.
   Web of Science ®Google Scholar
• Jorion, P., Portfolio optimization with tracking-error constraints. Financ. Anal. J., 2003, 59, 70–82.
   Web of Science ®Google Scholar
• Kan, R. and Smith, D.R., The distribution of the sample minimum-variance frontier. Manage. Sci., 2008, 54, 1364–1380.
   Web of Science ®Google Scholar
• Kan, R. and Zhou, G., Optimal portfolio choice with parameter uncertainty. J. Financ. Quant. Anal., 2007, 42, 621–656.
   Web of Science ®Google Scholar
• Kan, R., Wang, X. and Zhou, G., Optimal portfolio choice with estimation risk: No risk-free asset case, 2021.
   Google Scholar
• Klein, R.W. and Bawa, V.S., The effect of estimation risk on optimal portfolio choice. J. Financ. Econ., 1976, 3, 215–231.
   Web of Science ®Google Scholar
• Kolm, P.N., Tütüncü, R. and Fabozzi, F.J., 60 years of portfolio optimization: Practical challenges and current trends. Eur. J. Oper. Res., 2014, 234, 356–371.
   Web of Science ®Google Scholar
• Kremer, P.J., Lee, S., Bogdan, M. and Paterlini, S., Sparse portfolio selection via the sorted ℓ1-Norm. J. Bank. Financ., 2020, 110, 105687.
   Web of Science ®Google Scholar
• Ledoit, O. and Wolf, M., Robust performance hypothesis testing with the Sharpe ratio. J. Empir. Finance, 2008, 15, 850–859.
   Web of Science ®Google Scholar
• Ledoit, O. and Wolf, M., Improved estimation of the covariance matrix of stock returns with an application to portfolio selection. J. Empir. Finance, 2003, 10, 603–621.
   Google Scholar
• Ledoit, O. and Wolf, M., Nonlinear shrinkage of the covariance matrix for portfolio selection: Markowitz meets Goldilocks. Rev. Financ. Stud., 2017, 30, 4349–4388.
   Web of Science ®Google Scholar
• Lev, B. and Srivastava, A., Explaining the recent failure of value investing. SSRN working paper, NYU Stern School of Business, 2019. https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3442539.
   Google Scholar
• Li, J., Sparse and stable portfolio selection with parameter uncertainty. J. Bus. Econ. Stat., 2015, 33, 381–392.
   Web of Science ®Google Scholar
• Lintner, J., The valuation of risk assets and the selection of risky investments in stock portfolios and capital budgets. Rev. Econ. Stat., 1965, 47, 13–37.
   Web of Science ®Google Scholar
• Markowitz, H., Portfolio selection. J. Finance, 1952, 7, 77–91.
   Web of Science ®Google Scholar
• Merton, R.C., On estimating the expected return on the market: An exploratory investigation. J. Financ. Econ., 1980, 8, 323–361.
   Web of Science ®Google Scholar
• Michaud, R.O., The Markowitz optimization enigma: Is' optimized'optimal?. Financ. Anal. J., 1989, 45, 31–42.
   Google Scholar
• Newey, W.K. and West, K.D., A simple, positive semi-definite, heteroskedasticity and autocorrelationconsistent covariance matrix, 1986.
   Google Scholar
• Okhrin, Y. and Schmid, W., Distributional properties of portfolio weights. J. Econom., 2006, 134, 235–256.
   Web of Science ®Google Scholar
• Pástor, L., Portfolio selection and asset pricing models. J. Finance., 2000, 55, 179–223.
   Web of Science ®Google Scholar
• Roll, R., A mean/variance analysis of tracking error. J. Portfolio Manage., 1992, 18, 13–22.
   Google Scholar
• Rossbach, P. and Karlow, D., Structural minimization of tracking error. Quant. Finance, 2019, 19, 357–366.
   Web of Science ®Google Scholar
• Sharpe, W.F., Capital asset prices: A theory of market equilibrium under conditions of risk. J. Finance., 1964, 19, 425–442.
   Web of Science ®Google Scholar
• Siegel, A.F. and Woodgate, A., Performance of portfolios optimized with estimation error. Manage. Sci., 2007, 53, 1005–1015.
   Web of Science ®Google Scholar
• Simaan, M. and Simaan, Y., Rational explanation for rule-of-thumb practices in asset allocation. Quant. Finance, 2019, 19, 2095–2109.
   Web of Science ®Google Scholar
• Simaan, M., Simaan, Y. and Tang, Y., Estimation error in mean returns and the mean-variance efficient frontier. Int. Rev. Econom. Finance, 2018, 56, 109–124.
   Web of Science ®Google Scholar
• Tu, J. and Zhou, G., Markowitz meets Talmud: A combination of sophisticated and naive diversification strategies. J. Financ. Econ., 2011, 99, 204–215.
   Web of Science ®Google Scholar
• Woodgate, A. and Siegel, A.F., How much error is in the tracking error? The impact of estimation risk on fund tracking error. J. Portfolio Manage., 2015, 41, 84–99.
   Web of Science ®Google Scholar
• Xing, X., Hu, J. and Yang, Y., Robust minimum variance portfolio with L-infinity constraints. J. Bank. Financ., 2014, 46, 107–117.
   Web of Science ®Google Scholar