1998
DOI: 10.3386/w6611
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Approximate Equilibrium Asset Prices

Abstract: Abstract. Arguing that total consumer wealth is unobservable, we invert the (approximate) consumption function to reconstruct, in a world with Kreps-Porteus generalized isoelastic preferences, (i) the wealth that supports the agents' observed consumption as an optimal outcome and (ii) the rate of return on the consumers' wealth portfolio. This allows us to (approximately) price assets solely as a function of their payoffs and of consumption-in both homoskedastic or heteroskedastic environments. We compare impl… Show more

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Cited by 48 publications
(33 citation statements)
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“…For example, if the EIS is restricted to unity and consumption follows a loglinear vector time-series process, the continuation value has an analytical solution and is a function of observable consumption data (e.g., Hansen, Heaton, and Li (2008)). Alternatively, if consumption and asset returns are assumed to be jointly log-normally distributed and homoskedastic (e.g., Attanasio and Weber (1989)) or if a second-order linearization is applied to the Euler equation, the risk premium of any asset can be expressed as a function of covariances of the asset's return with current consumption growth and with news about future consumption growth (e.g., Restoy and Weil (1998), Campbell (2003)). In this case, the model's cross-sectional asset pricing implications can be evaluated using observable consumption data and a model for expectations of future consumption.…”
Section: Introductionmentioning
confidence: 99%
“…For example, if the EIS is restricted to unity and consumption follows a loglinear vector time-series process, the continuation value has an analytical solution and is a function of observable consumption data (e.g., Hansen, Heaton, and Li (2008)). Alternatively, if consumption and asset returns are assumed to be jointly log-normally distributed and homoskedastic (e.g., Attanasio and Weber (1989)) or if a second-order linearization is applied to the Euler equation, the risk premium of any asset can be expressed as a function of covariances of the asset's return with current consumption growth and with news about future consumption growth (e.g., Restoy and Weil (1998), Campbell (2003)). In this case, the model's cross-sectional asset pricing implications can be evaluated using observable consumption data and a model for expectations of future consumption.…”
Section: Introductionmentioning
confidence: 99%
“…The recent empirical success of long‐run consumption measures has prompted asset pricing models that feature long‐run risks. One set of models includes variations of the recursive utility framework of Kreps and Porteus (1978) and Restoy and Weil (1998), which allows for the separation of the elasticity of intertemporal substitution (EIS) from risk aversion. Epstein and Zin (1989), Weil (1989), Bansal and Yaron (2004), and Hansen et al (2008), for example, introduce models that feature a role for future consumption.…”
mentioning
confidence: 99%
“…One would expect that regime switches in the volatility of all shocks lead to variation in risk premia. In the model, however, variations in risk premia must be associated with uncertainty about revisions in the rate of growth of future utility and with their correlations with inflation and with the marginal utility of consumptionsee also Restoy and Weil (2011) and Piazzesi and Schneider (2006). The key source of quantitatively sizable time-variation in risk premia are switches in the variance of technology shocks.…”
Section: Monetary Policy and Risk Premiamentioning
confidence: 99%