Predicting Systematic Risk: Implications from Growth Options

Eric Jacquier
Cirano, Cireq, HEC Montreal

Sheridan Titman
University of Texas, Austin

Atakan Yalcin
Koc University


In accordance with the well-known Ūnancial leverage effect, decreases in stock prices cause an increase in the levered equity beta for a given unlevered beta. However, as growth options are more volatile and have higher risk than assets in place, a price decrease may decrease the unlevered equity beta via an operating leverage effect. This is because price decreases are associated with a proportionately higher loss in growth options than in assets in place. Most of the existing literature focuses on the Ūnancial leverage effect: This paper examines both effects. We show, with a simple option pricing model, the opposing effects at work when the Ūrm is a portfolio of assets in place and growth options. Our empirical results show that, contrary to common belief, the operating leverage effect largely dominates the Ūnancial leverage effect, even for initially highly levered Ūrms with presumably few growth options. We then link variations in betas to measurable Ūrm characteristics that proxy for the fraction of the Ūrm invested in growth options. We show that these proxies jointly predict a large fraction of future cross- sectional differences in betas. These results have important implications on the predictability of equity betas, hence on empirical asset pricing and on portfolio optimization that controls for systematic risk. Some key words: Beta, Financial Leverage, Operating Leverage, Growth options, Assets in Place