We propose a general equilibrium model to study the link between the cross section of expected returns and book-to-market characteristics. We model two primitive assets: value assets and growth assets that are options on assets in place. The cost of option exercise, which is endogenously determined in equilibrium, is highly procyclical and acts as a hedge against risks in assets in place. Consequently, growth options are less risky than value assets, and the model features a value premium. Our model incorporates long-run risks in aggregate consumption and replicates the empirical failure of the conditional capital asset pricing model (CAPM) prediction. The model also quantitatively accounts for the pattern in mean returns on book-to-market sorted portfolios, the magnitude of the CAPM-alphas, and other stylized features of the cross-sectional data.

[We model investment options as intangible capital in a production economy in which younger vintages of assets in place have lower exposure to aggregate productivity risk. In equilibrium, physical capital requires a substantially higher expected return than intangible capital. Quantitatively, our model rationalizes a significant share of the observed difference in the average return of book-to-market-sorted portfolios (value premium). Our economy also produces (1) a high premium of the aggregate stock market over the risk-free interest rate, (2) a low and smooth risk-free interest rate, and (3) key features of the consumption and investment dynamics in the U.S. data.]

We model investment options as intangible capital in a production economy in which younger vintages of assets in place have lower exposure to aggregate productivity risk. In equilibrium, physical capital requires a substantially higher expected return than intangible capital. Quantitatively, our model rationalizes a significant share of the observed difference in the average return of book-to-market-sorted portfolios (value premium). Our economy also produces (1) a high premium of the aggregate stock market over the risk-free interest rate, (2) a low and smooth risk-free interest rate, and (3) key features of the consumption and investment dynamics in the U.S. data.