TY - JOUR AU - Richardson,Matthew AU - Stock,James H. TI - Drawing Inferences From Statistics Based on Multi-Year Asset Returns JF - National Bureau of Economic Research Working Paper Series VL - No. 3335 PY - 1990 Y2 - April 1990 UR - http://www.nber.org/papers/w3335 L1 - http://www.nber.org/papers/w3335.pdf N1 - Author contact info: Matthew P. Richardson Stern School of Business New York University 44 West 4th Street, Suite 9-190 New York, NY 10012 Tel: 212/998-0349 Fax: 212/995-4233 E-Mail: mrichar0@stern.nyu.edu James H. Stock Department of Economics Harvard University Littauer Center M27 Cambridge, MA 02138 Tel: 617/496-0502 Fax: 617/495-7730 E-Mail: James_Stock@harvard.edu AB - The possibility of mean reversion in stock prices recently has been examined using statistics based on multi-year returns. Previous researchers have noted difficulties in drawing inferences about these statistics because of poor performance of the usual approximating asymptotic distributions. We therefore develop an alternative asymptotic distribution theory for statistics involving multi-year returns. These distributions differ markedly from those implied by the conventional theory. This alternative theory provides substantially better approximations to the relevant finite-sample distributions. It also leads to empirical inferences much less at odds with the hypothesis of no mean reversion. ER -