Approximate Equilibrium Asset Prices
This paper reconsiders the determination of asset returns in a model with Kreps-Porteus generalized isoelastic preferences where returns appear governed on the basis of Euler equations, by a combination of the two most common measures of risk -- covariance with the market return and covariance with consumption. To go beyond Euler equations and to take into account the links that the consumers' optimal behavior establishes, through a budge connstraint, between market returns and consumption, we derive an approximate consumption function (obtained, as in Campbell (1994), by log-linear approximation). Arguing that total consumer wealth is unobservable, we use this consumption function to reconstruct from observed consumption data i) the wealth that supports the agents' consumption optimal income, and ii) the rate of retun on the consumers' wealth portfolio. This procedure enables us to derive formulas that (approximately) price, in the tradition of Lucas (1978), all assets as a function of their payoffs and of consumption. The generalized consumption CAPM that we obtain is derived for both homoskedastic and heteroskedastic consumption processes. We also use our approximate pricing kernel to highlight the crucial role of temporal risk aversion in the determination of the equilibrium term structure of real interest rates.
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References listed on IDEAS
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- John Y. Campbell, 1993.
"Understanding Risk and Return,"
NBER Working Papers
4554, National Bureau of Economic Research, Inc.
- Campbell, John, 1996. "Understanding Risk and Return," Scholarly Articles 3153293, Harvard University Department of Economics.
- John Y. Campbell, 1995. "Understanding Risk and Return," Harvard Institute of Economic Research Working Papers 1711, Harvard - Institute of Economic Research.
- R. Mehra & E. Prescott, 2010.
"The equity premium: a puzzle,"
Levine's Working Paper Archive
1401, David K. Levine.
- Alberto Giovannini & Philippe Weil, 1989. "Risk Aversion and Intertemporal Substitution in the Capital Asset Pricing Model," NBER Working Papers 2824, National Bureau of Economic Research, Inc.
- 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.
- Philippe Weil, 1989. "The Equity Premium Puzzle and the Riskfree Rate Puzzle," NBER Working Papers 2829, National Bureau of Economic Research, Inc.
- Phillippe Weil, 1997. "The Equity Premium Puzzle and the Risk-Free Rate Puzzle," Levine's Working Paper Archive 1833, David K. Levine.
- Dreze, Jacques H. & Modigliani, Franco, 1972. "Consumption decisions under uncertainty," Journal of Economic Theory, Elsevier, vol. 5(3), pages 308-335, December.
- Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
- Kocherlakota, Narayana R, 1990. " Disentangling the Coefficient of Relative Risk Aversion from the Elasticity of Intertemporal Substitution: An Irrelevance Result," Journal of Finance, American Finance Association, vol. 45(1), pages 175-90, March.
- John W. Kendrick, 1976. "The Formation and Stocks of Total Capital," NBER Books, National Bureau of Economic Research, Inc, number kend76-1, 07.
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