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The Wealth-Consumption Ratio: A Litmus Test for Consumption-based Asset Pricing Models

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  • Hanno Lustig

Abstract

The volatility of the price-dividend ratio on stocks, the predictability of stock returns, and the lack of predictability in dividend growth are commonly interpreted as evidence of substantial time-variation in risk premia. We construct the wealth-consumption ratio for the U.S., the price-dividend ratio on total wealth. We show that it is at least ¯ve times less volatile than the price-dividend ratio on stocks. The wealth-consumption ratio encodes information about conditional market prices of risk, and hence about asset prices. Matching its properties is a litmus test for consumption-based asset pricing models. Models that match the predictability of equity returns impute too much predictability to total wealth returns and hence too much volatility to the wealth-consumption ratio, because they rely on time variation in the risk premium on total wealth. The smoothness of the wealth-consumption ratio suggests that there may be less time-variation in market prices of risk than commonly inferred from equity prices alone.
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  • Hanno Lustig, "undated". "The Wealth-Consumption Ratio: A Litmus Test for Consumption-based Asset Pricing Models," UCLA Economics Online Papers 420, UCLA Department of Economics.
  • Handle: RePEc:cla:uclaol:420
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    3. Ralph S.J. Koijen & Jules H. van Binsbergen & Juan F. Rubio-Ramírez & Jesus Fernandez-Villaverde, 2008. "Likelihood Estimation of DSGE Models with Epstein-Zin Preferences," 2008 Meeting Papers 1099, Society for Economic Dynamics.
    4. Alberto Alesina & Andrea Ichino & Loukas Karabarbounis, 2011. "Gender-Based Taxation and the Division of Family Chores," American Economic Journal: Economic Policy, American Economic Association, vol. 3(2), pages 1-40, May.
    5. Fernández, Raquel, 2007. "Culture as Learning: The Evolution of Female Labour Force Participation Over a Century," CEPR Discussion Papers 6451, C.E.P.R. Discussion Papers.
    6. Xiaohong Chen & Jack Favilukis & Sydney C. Ludvigson, 2013. "An estimation of economic models with recursive preferences," Quantitative Economics, Econometric Society, vol. 4(1), pages 39-83, March.
    7. Tiago Cavalcanti & José Tavares, 2016. "The Output Cost of Gender Discrimination: A Model‐based Macroeconomics Estimate," Economic Journal, Royal Economic Society, vol. 126(590), pages 109-134, February.
    8. Xiaohong Chen & Jack Favilukis & Sydney C. Ludvigson, 2013. "An estimation of economic models with recursive preferences," Quantitative Economics, Econometric Society, vol. 4(1), pages 39-83, March.
    9. Xavier Gabaix, 2012. "Variable Rare Disasters: An Exactly Solved Framework for Ten Puzzles in Macro-Finance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(2), pages 645-700.
    10. Jonathan B. Berk & Johan Walden, 2013. "Limited Capital Market Participation and Human Capital Risk," The Review of Asset Pricing Studies, Society for Financial Studies, vol. 3(1), pages 1-37.
    11. Ludvigson, Sydney C., 2013. "Advances in Consumption-Based Asset Pricing: Empirical Tests," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, volume 2, chapter 0, pages 799-906, Elsevier.
    12. van Binsbergen, Jules H. & Fernández-Villaverde, Jesús & Koijen, Ralph S.J. & Rubio-Ramírez, Juan, 2012. "The term structure of interest rates in a DSGE model with recursive preferences," Journal of Monetary Economics, Elsevier, vol. 59(7), pages 634-648.
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    14. Raquel Fernandez, 2007. "Culture as Learning: The Evolution of Female Labor Force Participation over a Century," NBER Working Papers 13373, National Bureau of Economic Research, Inc.
    15. Aono, Kohei & Iwaisako, Tokuo, 2013. "The consumption–wealth ratio, real estate wealth, and the Japanese stock market," Japan and the World Economy, Elsevier, vol. 25, pages 39-51.

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