NATIONAL BUREAU OF ECONOMIC RESEARCH
NATIONAL BUREAU OF ECONOMIC RESEARCH

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

Andrew B. Abel

NBER Working Paper No. 12290
Issued in June 2006
NBER Program(s):   AP   EFG   ME

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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Document Object Identifier (DOI): 10.3386/w12290

Published: Mehra, Rajnish (ed.) Handbook of the Equity Risk Premium, Handbooks in Finance. Amsterdam and Boston: Elsevier, North-Holland, 2008.

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