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

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  • Andrew B. Abel

Abstract

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.

Suggested Citation

  • Andrew B. Abel, 2006. "Equity Premia with Benchmark Levels of Consumption: Closed-Form Results," NBER Working Papers 12290, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:12290
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    References listed on IDEAS

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    1. Abel, Andrew B, 1990. "Asset Prices under Habit Formation and Catching Up with the Joneses," American Economic Review, American Economic Association, vol. 80(2), pages 38-42, May.
    2. Backus, David K. & Gregory, Allan W. & Zin, Stanley E., 1989. "Risk premiums in the term structure : Evidence from artificial economies," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 371-399, November.
    3. Andrew B. Abel, 2005. "Optimal Taxation when Consumers Have Endogenous Benchmark Levels of Consumption," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(1), pages 21-42.
    4. 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.
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    7. Martin Lettau & Sydney C. Ludvigson & Jessica A. Wachter, 2008. "The Declining Equity Premium: What Role Does Macroeconomic Risk Play?," The Review of Financial Studies, Society for Financial Studies, vol. 21(4), pages 1653-1687, July.
    8. 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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    17. repec:bla:jfinan:v:59:y:2004:i:4:p:1481-1509 is not listed on IDEAS
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    Cited by:

    1. de Farias Neto, Joao Jose, 2008. "S-shaped utility, subprime crash and the black swan," MPRA Paper 12122, University Library of Munich, Germany.
    2. Walentin Karl, 2010. "Earnings Inequality and the Equity Premium," The B.E. Journal of Macroeconomics, De Gruyter, vol. 10(1), pages 1-23, November.
    3. Jair N. Ojeda-Joya, 2014. "A Consumption-Based Approach to Exchange Rate Predictability," Borradores de Economia 857, Banco de la Republica de Colombia.
    4. Santiago Budría, 2008. "An Exploration of Asset Returns in a Production Economy with Relative Habits," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 36(3), pages 261-274, September.
    5. De Paoli, Bianca & Sondergaard, Jens, 2009. "Foreign exchange rate risk in a small open economy," Bank of England working papers 365, Bank of England.

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    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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