TY - JOUR AU - Engel,Charles AU - Frankel,Jeffrey A. AU - Froot,Kenneth A. AU - Rodrigues,Anthony P. TI - The Constrained Asset Share Estimation (CASE) Method: Testing Mean-Variance Efficiency of the U.S. Stock Market JF - National Bureau of Economic Research Working Paper Series VL - No. 4294 PY - 1993 Y2 - March 1993 UR - http://www.nber.org/papers/w4294 L1 - http://www.nber.org/papers/w4294.pdf N1 - Author contact info: Charles Engel Department of Economics University of Wisconsin 1180 Observatory Drive Madison, WI 53706-1393 Tel: 608/262-3697 Fax: 608/262-2033 E-Mail: cengel@ssc.wisc.edu Jeffrey A. Frankel Kennedy School of Government Harvard University 79 JFK Street Cambridge, MA 02138 Tel: 617/496-3834 Fax: 617/496-5747 E-Mail: jeffrey_frankel@harvard.edu Kenneth A. Froot Graduate School of Business Harvard University Soldiers Field Boston, MA 02163 Tel: 617/495-6677 Fax: 617/496-7357 E-Mail: kfroot@hbs.edu AB - We apply the method of constrained asset share estimation (CASE) to test the mean-variance efficiency (MVE) of the stock market. This method allows conditional expected returns to vary in relatively unrestricted ways. The data estimate reasonably the price of risk, and, in some cases, the MVE model is valuable in explaining expected equity returns. Unlike with most tests of MVE. we can put an explicit interpretation on the alternative hypothesis -- a general linear Tobin portfolio choice model. We reject the restrictions implied by MVE. ER -