TY - JOUR AU - Chan,Louis K.C. AU - Karceski,Jason AU - Lakonishok,Josef TI - On Portfolio Optimization: Forecasting Covariances and Choosing the Risk Model JF - National Bureau of Economic Research Working Paper Series VL - No. 7039 PY - 1999 Y2 - March 1999 UR - http://www.nber.org/papers/w7039 L1 - http://www.nber.org/papers/w7039.pdf N1 - Author contact info: Louis Chan Department of Finance University of Illinois 113 Commerce West, MC 706 1206 S. Sixth Champaign, IL 61820 Tel: 217/333-6391 E-Mail: l-chan2@uiuc.edu Jason Karceski University of Florida P.O. Box 117168 Gainesville, Florida 32653 Tel: 352/846-1059 Fax: 352/392-0301 E-Mail: jason.karceski@cba.ufl.edu Josef Lakonishok University of Illinois, Department of Finance College of Commerce & Business Administration 1206 S. Sixth Street Champaign, IL 61820 Tel: 217/333-7185 Fax: 217/244-1151 E-Mail: jlakonishok@yahoo.com AB - We evaluate the performance of different models for the covariance structure of stock returns, focusing on their use for optimal portfolio selection. Comparisons are based on forecasts of future covariances as well as the out-of-sample volatility of optimized portfolios from each model. A few factors capture the general covariance structure but adding more factors does not improve forecast power. Portfolio optimization helps for risk control, but the different covariance models yield similar results. Using a tracking error volatility criterion, larger differences appear, with particularly favorable results for a heuristic approach based on matching the benchmark's attributes. ER -