Measuring Dark Matter in Asset Pricing Models

Working Paper: NBER ID: w26418

Authors: Hui Chen; Winston Wei Dou; Leonid Kogan

Abstract: We formalize the concept of “dark matter” in asset pricing models by quantifying the additional informativeness of cross-equation restrictions about fundamental dynamics. The dark matter measure captures the degree of fragility for models that are potentially misspecified and unstable: a large dark matter measure signifies that the model lacks internal refutability (weak power of optimal specification tests) and external validity (high overfitting tendency and poor out-of-sample fit). The measure can be computed at low cost even for complex dynamic structural models. To illustrate its applications, we provide quantitative examples applying the measure to (time-varying) rare-disaster risk and long-run risk models.

Keywords: dark matter; asset pricing; GMM; model fragility

JEL Codes: C52; D81; E32; G12


Causal Claims Network Graph

Edges that are evidenced by causal inference methods are in orange, and the rest are in light blue.


Causal Claims

CauseEffect
larger dark matter measures (C55)higher expected overfitting (C52)
larger dark matter measures (C55)lower statistical test power (C12)
choice of estimation technique (C51)degree of overfitting (C52)

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