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Risk aversion, the labor margin, and asset pricing in DSGE models

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Author Info
Eric T. Swanson

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Abstract

In dynamic stochastic general equilibrium (DSGE) models, the household's labor margin as well as consumption margin affects Arrow-Pratt risk aversion. This paper derives simple, closed-form expressions for risk aversion that take into account the household's labor margin. Ignoring the labor margin can lead to wildly inaccurate measures of the household's true attitudes toward risk. We show that risk premia on assets computed using the stochastic discount factor are proportional to Arrow-Pratt risk aversion, so that measuring risk aversion correctly is crucial for understanding asset prices. Closed-form expressions for risk aversion in DSGE models with generalized recursive preferences and internal and external habits are also derived.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2009-26.

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Date of creation: 2009
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Handle: RePEc:fip:fedfwp:2009-26

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Keywords: Financial risk management ; Asset pricing;

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  1. Michele Boldrin & Lawrence J. Christiano & Jonas D.M. Fisher, 1997. "Habit persistence and asset returns in an exchange economy," Working Paper Series, Macroeconomic Issues WP-97-04, Federal Reserve Bank of Chicago. [Downloadable!]
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  2. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May. [Downloadable!] (restricted)
  3. TallariniJr., Thomas D., 2000. "Risk-sensitive real business cycles," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 507-532, June. [Downloadable!] (restricted)
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  4. Rudebusch, Glenn D. & Swanson, Eric T., 2008. "Examining the bond premium puzzle with a DSGE model," Journal of Monetary Economics, Elsevier, vol. 55(Supplemen), pages S111-S126, October. [Downloadable!] (restricted)
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  5. Weil, Philippe, 1989. "The equity premium puzzle and the risk-free rate puzzle," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 401-421, November. [Downloadable!] (restricted)
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  6. Kihlstrom, Richard E. & Mirman, Leonard J., 1974. "Risk aversion with many commodities," Journal of Economic Theory, Elsevier, vol. 8(3), pages 361-388, July. [Downloadable!] (restricted)
  7. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July. [Downloadable!] (restricted)
  8. Stiglitz, Joseph E, 1969. "Behavior Towards Risk with Many Commodities," Econometrica, Econometric Society, vol. 37(4), pages 660-67, October. [Downloadable!] (restricted)
  9. Constantinides, George M, 1990. "Habit Formation: A Resolution of the Equity Premium Puzzle," Journal of Political Economy, University of Chicago Press, vol. 98(3), pages 519-43, June. [Downloadable!] (restricted)
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