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  • Book cover of Time-varying Risk Premia and the Cost of Capital
  • Book cover of Measuring and Modelling Variation in the Risk-return Trade-off
  • Book cover of Euler Equation Errors
  • Book cover of Expected Returns and Expected Dividend Growth

    We investigate a consumption-based present value relation that is a function of future dividend growth. Using data on aggregate consumption and measures of the dividend payments from aggregate wealth, we show that changing forecasts of dividend growth make an important contribution to fluctuations in the U.S. stock market, despite the failure of the dividend-price ratio to uncover such variation. In addition, these dividend forecasts are found to covary with changing forecasts of excess stock returns. The variation in expected dividend growth we uncover is positively correlated with changing forecasts of excess returns and occurs at business cycle frequencies, those ranging from one to six years. Because positively correlated fluctuations in expected dividend growth and expected returns have offsetting affects on the log dividend-price ratio, the results imply that both the market risk-premium and expected dividend growth vary considerably more than what can be revealed using the log dividend-price ratio alone as a predictive variable.

  • Book cover of Consumption, Aggregate Wealth and Expected Stock Returns
  • Book cover of Understanding Trend and Cycle in Asset Values
  • Book cover of Approximation Bias in Linearized Euler Equations

    A wide range of empirical applications rely on linear approximations to dynamic Euler equations. Among the most notable of these is the large and growing literature on precautionary saving that examines how consumption growth and saving behavior are affected by uncertainty and prudence. Linear approximations to Euler equations imply a linear relationship between expected consumption growth and uncertainty in consumption growth, with a slope coefficient that is a function of the coefficient of relative prudence. This literature has produced puzzling results: Estimates of the coefficient of relative prudence (and the coefficient of relative risk aversion) from regressions of consumption growth on uncertainty in consumption growth imply estimates of prudence and risk aversion that are unrealistically low. Using numerical solutions to a fairly standard intertemporal optimization problem, our results show that the actual relationship between expected consumption growth and uncertainty in consumption growth differs substantially from the relationship implied by a linear approximation. We also present Monte Carlo evidence that shows that the instrumental variables methods commonly used to estimate the parameters correct some, but not all, of the approximation bias.

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    This paper exploits a data rich environment to provide direct econometric estimates of time-varying macro uncertainty, defined as the common variation in the unforecastable component of a large number of economic indicators. Our estimates display significant independent variations from popular uncertainty proxies, suggesting that much of their variation is not driven by uncertainty. Quantitatively important uncertainty episodes appear far more infrequently than indicated by popular uncertainty proxies, but when they do occur, they have larger and more persistent correlations with real activity. Our estimates provide a benchmark to evaluate theories for which uncertainty shocks play a role in business cycles.

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    Martin Lettau

     · 2014

    A single macroeconomic factor based on growth in the capital share of aggregate income exhibits significant explanatory power for expected returns across a range of equity characteristic portfolios and non-equity asset classes, with risk price estimates that are of the same sign and similar in magnitude. Positive exposure to capital share risk earns a positive risk premium, commensurate with recent asset pricing models in which redistributive shocks shift the share of income between the wealthy, who finance consumption primarily out of asset ownership, and workers, who finance consumption primarily out of wages and salaries.

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    This paper presents evidence of infrequent shifts, or regimes, in the mean of the consumption-wealth variable cay that are strongly associated with low frequency fluctuations in the real value of the Federal Reserve's primary policy rate, with low policy rates associated with high asset valuations, and vice versa. By contrast, there is no evidence that infrequent shifts to high asset valuations and low policy rates are associated with higher economic growth or lower economic uncertainty; indeed the opposite is true. Additional evidence shows that low interest rate/high asset valuation regimes coincide with significantly lower equity market risk premia.