We develop a general equilibrium model in which income and dividends are smooth but asset prices contain large moves (jumps). These large price jumps are triggered by optimal decisions of investors to learn the unobserved state. We show that learning choice is determined by preference parameters and the conditional volatility of income process. An important model prediction is that income volatility predicts future jump periods, while income growth does not. Consistent with the model, large moves in returns in the data are predicted by consumption volatility but not by consumption growth. The model quantitatively captures these novel features of the data.
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Learning and Asset-Price Jumps
AbstractWe develop a general equilibrium model in which income and dividends are smooth, but asset prices are subject to large moves (jumps). A prominent feature of the model is that the optimal decision of investors to learn the unobserved state triggers large asset-price jumps. We show that the learning choice is critically determined by preference parameters and the conditional volatility of income process. An important prediction of the model is that the conditional volatility of income predicts future jump periods, while the level of income growth does not. We find that indeed in the data large moves in returns are predicted by consumption volatility, but not by the changes in consumption level. We show that the model can quantitatively capture these novel features of the data.