Working Papers


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Estimating the Continuous Time Consumption Based Asset Pricing Model


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The consumption based asset pricing model predicts that excess yields are determined in a fairly simple way by the market's degree of relative risk aversion and by the pattern of covariances between percapita consumption growth and asset returns. Estimation and testingis complicated by the fact that the model's predictions relate to the instantaneous flow of consumption and point-in-time asset values, but only data on the integral or unit average of the consumption flow is available. In our paper, we show how to estimate the parameters of interest consistently from the available data by maximum likelihood. We estimate the market's degree of relative risk aversion and the instantaneous covariances of asset yields and consumption using six different data sets. We also test the model's overidentifying restrictions




Asset Pricing Models with and Without Consumption Data


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This paper evaluates the ability of the empirical model of asset pricing of Campbell(1993a,b) to explain the time-series and cross-sectional variation of expected returns ofportfolios of stocks. In Campbell's model, an alternative risk-return relationship is derivedby substituting consumption out of the linearized first-order condition of the representativeagent. We compare this methodology to models that use actual consumption data, such asthe model of Epstein and Zin, 1989, 1991, and the standard consumption-based CAPM.Although we find that Campbell's model fits the data slightly better than models whichexplicitly price consumption risk, and provides reasonable estimates of the representativeagent's preference parameters, the parameter restrictions of the Campbell model, as well asits over-identifying orthogonality conditions, are generally rejected. The parameter restrictionsof the Campbell model, and the over-identifying conditions, are marginally not rejectedwhen the empirical model is augmented to account for the "size effect"




Asset Pricing in the International Economy


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This paper presents a statistical and economic interpretation of the low and often economically implausible risk aversion estimates obtained for fixed income assets throughout the finance literature. For a statistical interpretation, Monte Carlo simulations are used to demonstrate that specification errors introduce a serious downward bias in parameter estimates derived from the standard asset pricing model. For an economic interpretation, an international version of the asset pricing model is presented. The model suggests that by reducing the effect of country specific disturbances, an international measure of consumption growth yields more accurate risk aversion estimates than a national measure. The results of asset pricing tests suggest that risk aversion estimates derived from models constructed for the international measures are economically plausible and close to each other across eight industrialized economies. These results are robust for several asset returns.










Evaluating Asset Pricing Models with Limited Commitment Using Household Consumption Data


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We evaluate the asset pricing implications of a class of models in which risk sharing is imperfect because of limited enforcement of intertemporal contracts. Lustig (2004) has shown that in such a model the asset pricing kernel can be written as a simple function of the aggregate consumption growth rate and the growth rate of consumption of the set of households that do not face binding enforcement constraints. These unconstrained households have lower consumption growth rates than all other households in the economy. We use household data on consumption growth from the U.S. Consumer Expenditure Survey to identify unconstrained households, to estimate the pricing kernel implied by these models and evaluate their performance in pricing aggregate risk. We find that for high values of the relative risk aversion coefficient, the limited enforcement pricing kernel generates a market price of risk that is substantially closer to the data than the one obtained using the standard complete markets asset pricing kernel.