The paper analytically evaluates alternative specifications of price-earnings regressions when prices lead earnings, i.e., reflect information about future earnings that is not reflected in the past time series of earnings. Because prices lead earnings, the specification using the earnings-level-deflated-by-price variable in a price-earnings regression is ‘better’, in terms of bias in the estimated earnings response coefficient and explanatory power, than specifications using earnings-change-deflated-by-price and earnings-deflated-by-lagged-earnings variables. An accurate proxy for unexpected earnings, however, outperforms the earnings-level- and earnings-change-deflated-by-price specifications.

Stock return over a period reflects the market's revision in expectation of future earnings. Accounting earnings over the same period, however, have limited ability to reflect such revised expectations. Therefore, returns anticipate earnings changes and the earnings response coefficient from a regression of returns on contemporaneous earnings changes is biased toward zero. We reduce this bias by including leading-period returns in price-earnings regressions. The resulting estimated earnings response coefficient magnitudes suggest that the capital market, on average, views earnings changes to be largely permanent. This is consistent with the random walk time series property of annual earnings.

The paper analyzes the contemporaneous association between market returns and earnings for long return intervals. The research design exploits two fundamental accounting attributes: (i) earnings aggregate over periods, and (ii) expanding the interval over which earnings are determined, is likely to reduce ‘measurement errors’ in (aggregate) earnings. These concepts lead to the level of (aggregate) earnings as a natural earnings variable for explaining security returns. We hypothesize that the longer the interval over which earnings are aggregated, the higher the cross-sectional correlation between earnings and returns. The empirical findings support this hypothesis.