Do Investment-Based Models Explain Equity Returns? Evidence from Euler Equations

We investigate the empirical implications of the investment-based model of asset pricing for the Hansen-Jagannathan and Kozak-Nagel-Santosh discount factors in the linear span of equity returns. We find that the stochastic discount factors satisfying the Euler equation for equity returns cannot satisfy the Euler equation for investment returns because returns on corporate investment covary inversely with the sources of equity risk relative to returns on equity. As a result, the model fails to replicate the level of the risk premium. Our results suggest that joint restrictions on the optimality of investment and consumption pose stringent conditions for candidate production models.

Beauty Contests and the Term Structure

A novel decomposition highlights the scope for information to influence the term structure of interest rates. Based on the law of total covariance, we show that real term premia in macroeconomic models contain a component that depends on covariances of realised stochastic discount factors and a component that depends on covariances of expectations of those stochastic discount factors. The covariance of expectations is typically low in macro-finance models, which contributes to the real term premia implied by the models being at least an order of magnitude too small, a result that is unchanged even if we introduce aggregate demand externalities combined with shocks to higher-order beliefs. We argue that generating realistic term premia requires there to be strategic complementarities in the formation of expectations. A quantitative model, in which beliefs are formed in a beauty contest, can explain a significant proportion of observed term premia, when estimated using data on expectations of productivity growth from the Survey of Professional Forecasters.

A Theory of Dissimilarity Between Stochastic Discount Factors

This paper proposes a measure of dissimilarity between stochastic discount factors (SDFs) in different economies. The SDFs are made comparable using the respective bond prices as the numeraire. The measure is dimensionless, synthesizes features of the risk-neutral moments of excess currency returns, and can be extracted from currency option prices. Linking theory to data, we provide evidence gathered from (i) the cross section of 45 currency option prices, (ii) the time series of currency returns, (iii) estimated SDFs using model-free restrictions, and (iv) structural models in international finance. This paper was accepted by David Simchi-Levi, finance.

Utility Indifference Pricing and Other Topics

In this chapter we discuss two methods of pricing in incomplete markets, based on utility functions. This theory comes in the shape of a global and a local version. Both versions are discussed, and for the local version we connect to the theory of stochastic discount factors and equilibrium theory.