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The Campbell-Shiller identity used by thousands of economists fails to account for common corporate actions like stock buybacks.

Asset pricing models often rely on this specific mathematical approximation as if it were a universal law of physics. Research shows the formula breaks down under subjective beliefs and modern financial maneuvers. This error means many fundamental calculations about market value are based on a flawed assumption. Economists have treated this accounting tool as an absolute truth for decades without checking its limits. Investors and academics might be misinterpreting market signals because their primary measuring stick is broken.

Original Paper

Crimes Against Campbell-Shiller

Itzhak Ben-David, Alexander Chinco

SSRN  ·  6711738

The Campbell and Shiller (1988) log-linear approximation is widely viewed as a model-free accounting identity that always holds: in sample, in expectation, and under arbitrary subjective beliefs. None of these claims is true. The formula is far from automatic even in realized data. Many companies do not pay dividends, making the calculation ill-defined. For dividend payers, the results are not always what they seem. The formula registers buybacks and new issuance as phantom cash-flow shocks. Tak