Long-Term Discount Rates Do Not Vary Across Firms

Long-term expected returns appear to vary little, if at all, in the cross section of stocks. We devise a bootstrapping procedure that injects small amounts of variation into expected returns and show that even negligible differences in expected returns, if they existed, would be easy to detect. Markers of such differences, however, are absent from actual stock returns. Our estimates are consistent with production-based asset pricing models such as Berk, Green, and Naik (1999) and Gomes, Kogan, and Zhang (2003) in which firms' risks change over time. We show that long-term reversals in stock returns are the consequence of the rapid convergence in expected returns. Our results imply stock market anomalies have only a limited effect on firm valuations.