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Equity Premia with Benchmark Levels of Consumption: Closed-Form Results

  • Andrew B. Abel

I calculate exact expressions for risk premia, term premia, and the premium on levered equity in a framework that includes habit formation, keeping/catching up with the Joneses, and possible departures from rational expectations. Closed-form expressions for the first and second moments of returns and for the R2 of a regression of stock returns on the dividend-price ratio are derived under lognormality for the case that includes keeping/catching up with the Joneses. Linear approximations illustrate how these moments of returns are affected by parameter values and illustrate quantitatively how well the model can account for values of the equity premium, the term premium, and the standard deviations of the riskless return and the rate of return on levered equity. For empirically relevant parameter values, the linear approximations yield values of the various moments that are close to those obtained from the exact solutions.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 12290.

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Date of creation: Jun 2006
Date of revision:
Publication status: published as Mehra, Rajnish (ed.) Handbook of the Equity Risk Premium, Handbooks in Finance. Amsterdam and Boston: Elsevier, North-Holland, 2008.
Handle: RePEc:nbr:nberwo:12290
Contact details of provider: Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A.
Phone: 617-868-3900
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  1. Martin Lettau & Sydney C. Ludvigson & Jessica A. Wachter, 2008. "The Declining Equity Premium: What Role Does Macroeconomic Risk Play?," Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1653-1687, July.
  2. Andrew B. Abel, 2005. "Optimal Taxation when Consumers Have Endogenous Benchmark Levels of Consumption," Review of Economic Studies, Oxford University Press, vol. 72(1), pages 21-42.
  3. Andrew B. Abel, 2001. "An exploration of the effects of pessimism and doubt on asset returns," Working Papers 01-1, Federal Reserve Bank of Philadelphia.
  4. Abel, Andrew B., 1999. "Risk premia and term premia in general equilibrium," Journal of Monetary Economics, Elsevier, vol. 43(1), pages 3-33, February.
  5. Abel, A.B., 1990. "Asset Prices Under Habit Formation And Catching Up With The Joneses," Weiss Center Working Papers 1-90, Wharton School - Weiss Center for International Financial Research.
  6. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  7. Cochrane, John H. & Campbell, John, 1999. "By Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Scholarly Articles 3119444, Harvard University Department of Economics.
  8. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  9. Cecchetti, Stephen G & Lam, Pok-sang & Mark, Nelson C, 1990. "Mean Reversion in Equilibrium Asset Prices," American Economic Review, American Economic Association, vol. 80(3), pages 398-418, June.
  10. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, 08.
  11. G. Constantinides, 1990. "Habit formation: a resolution of the equity premium puzzle," Levine's Working Paper Archive 1397, David K. Levine.
  12. David K. Backus & Allan W. Gregory & Stanley E. Zin, 1986. "Risk Premiums in the Term Structure : Evidence from Artificial Economies," Working Papers 665, Queen's University, Department of Economics.
  13. Fama, Eugene F. & French, Kenneth R., 1988. "Dividend yields and expected stock returns," Journal of Financial Economics, Elsevier, vol. 22(1), pages 3-25, October.
  14. Shmuel Kandel & Robert F. Stambaugh, 1991. "Asset Returns and Intertemporal Preferences," NBER Working Papers 3633, National Bureau of Economic Research, Inc.
  15. Mehra, Rajnish, 1988. "On the Existence and Representation of Equilibrium in an Economy with Growth and Nonstationary Consumption," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(1), pages 131-35, February.
  16. Gali, Jordi, 1994. "Keeping Up with the Joneses: Consumption Externalities, Portfolio Choice, and Asset Prices," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 26(1), pages 1-8, February.
  17. John Y. Campbell & John Cochrane, 1999. "Force of Habit: A Consumption-Based Explanation of Aggregate Stock Market Behavior," Journal of Political Economy, University of Chicago Press, vol. 107(2), pages 205-251, April.
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