Risk Price Variation: The Missing Half of Empirical Asset Pricing
61 Pages Posted: 21 Jun 2018
Date Written: April 23, 2019
The Law of One Price is a bedrock of asset pricing theory and empirics. Yet real-world frictions can violate the Law by generating unequal compensation across assets for the same risk exposures. We develop new methods for asset pricing with cross-sectional heterogeneity in compensation for risk. We extend k-means clustering to group assets by risk prices and introduce a formal test for whether differences in risk premia across market segments are too large to occur by chance. Using portfolios of US stocks, international stocks, and assets from multiple classes, we find significant evidence of cross-sectional variation in risk prices for all 159 combinations of test assets, factor models, and time periods. Variation in risk prices is as important as variation in risk exposures for explaining the cross-section of expected returns.
Keywords: Risk Premia, Market Segmentation, Clustering, Expectation Maximization
JEL Classification: G12, G14, C21, C55
Suggested Citation: Suggested Citation