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Scale or Yield? A Present-Value Identity

Review of Financial Studies 2024 37(3), 950-988 open access
We propose a loglinear present-value identity in which investment (“scale”), profitability (“yield”), and discount rates determine a firm’s market-to-book ratio. Our identity reconciles existing influential market-to-book decompositions and facilitates novel insights from three empirical applications: (1) Both investment and profitability are important contributors to the value spread and stock return news variance. (2) Any cross-sectional return predictability has a mirror image in cash-flow fundamentals, providing asset pricing theories with additional moments to match. (3) The investment spread significantly improves the predictability of time-series variation in the value premium and justifies the poor performance of value in recent years.

The Present Value of Future Market Power

Review of Financial Studies 2026
We introduce a present-value identity relating a firm’s market value to expected future markups, output growth, discount rates, and investments. Distinguishing current from expected markups reveals five empirical facts: (1) Expected markups account for half the rise in U.S. firm values since 1980. (2) The rise in aggregate expected markups reflects market-share reallocation toward high-expected-markup firms and within-firm increases. (3) Expected markups are linked to intangible investments. (4) They relate negatively to discount rates over time but (5) positively to abnormal returns across firms. Finally, variation in long-term expected markups is primarily associated with asset prices rather than current markups.