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Can Rare Events Explain the Equity Premium Puzzle?

Review of Financial Studies 2012 25(10), 3037-3076
[Probably not. First, allowing the probabilities of the states of the economy to differ from their sample frequencies, the consumption-CAPM is still rejected in both U.S. and international data. Second, the recorded world disasters are too small to rationalize the puzzle, unless one assumes that disasters occur every 6-10 years. Third, if the data were generated by the rare events distribution needed to rationalize the equity premium puzzle, the puzzle itself would be unlikely to arise. Fourth, the rare events hypothesis, by reducing the cross-sectional dispersion of consumption risk, worsens the ability of the consumption-CAPM to explain the cross-section of returns.]

What Information Drives Asset Prices?

The Review of Asset Pricing Studies 2021 11(4), 837-885 open access
We contribute to identifying proxies for the information set of investors in financial markets. We show that the marketwide price-dividend ratio highly correlates with inflation and labor market variables that also forecast consumption, dividend, and GDP growth, but not with aggregate consumption or GDP growth. Our model with learning from inflation and wage earnings rationalizes the moments of consumption and dividend growth, market return, the price-dividend ratio, real and nominal term structures, the low predictive power of the price-dividend ratio for consumption and dividends, and the dynamics of the price-dividend ratio, unlike a nested model with learning from consumption alone.

Asset Pricing Tests with Long-run Risks in Consumption Growth

The Review of Asset Pricing Studies 2011 1(1), 96-136
We present a novel methodology for estimating/testing the Bansal and Yaron (2004) and related long-run risks (LRR) models based on the observation that the latent state variables are known functions of observables. The large standard error of the estimated elasticity of intertemporal substitution explains the controversy on its magnitude. The model requires higher persistence of consumption and dividend growth to explain the cross-section of returns than that observed in the data. The model matches the unconditional moments of consumption and dividend growth, but implies a higher risk-free rate and lower volatility of the price/dividend ratio, risk-free rate, and market return than those observed in the data. Contrary to the model implications, the conditional variance of the LRR variable fails to capture the large time variation in the equity premium.

Can Rare Events Explain the Equity Premium Puzzle?

Review of Financial Studies 2012 25(10), 3037-3076
Probably not. First, allowing the probabilities of the states of the economy to differ from their sample frequencies, the consumption-CAPM is still rejected in both U.S. and international data. Second, the recorded world disasters are too small to rationalize the puzzle, unless one assumes that disasters occur every 6--10 years. Third, if the data were generated by the rare events distribution needed to rationalize the equity premium puzzle, the puzzle itself would be unlikely to arise. Fourth, the rare events hypothesis, by reducing the cross-sectional dispersion of consumption risk, worsens the ability of the consumption-CAPM to explain the cross-section of returns. The Author 2012. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please e-mail: [email protected]., Oxford University Press.

Asset Pricing with Countercyclical Household Consumption Risk

Journal of Finance 2017 72(1), 415-460
We show that shocks to household consumption growth are negatively skewed, persistent, countercyclical, and drive asset prices. We construct a parsimonious model where heterogeneous households have recursive preferences. A single state variable drives the conditional cross‐sectional moments of household consumption growth. The estimated model fits well the unconditional cross‐sectional moments of household consumption growth and the moments of the risk‐free rate, equity premium, price‐dividend ratio, and aggregate dividend and consumption growth. The model‐implied risk‐free rate and price‐dividend ratio are procyclical, while the market return has countercyclical mean and variance. Finally, household consumption risk explains the cross section of excess returns.

What Is the Consumption-CAPM Missing? An Information-Theoretic Framework for the Analysis of Asset Pricing Models

Review of Financial Studies 2017 30(2), 442-504 open access
We consider asset pricing models in which the SDF can be factorized into an observable component and a potentially unobservable one. Using a relative entropy minimization approach, we nonparametrically estimate the SDF and its components. Empirically, we find the SDF has a business-cycle pattern and significant correlations with market crashes and the Fama-French factors. Moreover, we derive novel bounds for the SDF that are tighter and have higher information content than existing ones. We show that commonly used consumption-based SDFs correlate poorly with the estimated one, require high risk aversion to satisfy the bounds and understate market crash risk. (