Size-Related Risk Premiums

This paper theoretically links the stock characteristics size and value to risks. The size premium arises – and spans the value premium – exclusively for portfolios formed in high market price of risk states. This is when the cross-sectional differences in risk premiums dominate the differences in expected cash flows connecting size and risk. Otherwise, value links better to the same risks, as it scales size by a proxy for expected cash flows. The hypothesis that value and size are (constant) risk proxies is formally rejected in the data, challenging the use of size-related portfolios as risk factors along with several strands of the literature based on this hypothesis