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Stock Prices Under Time-Varying Dividend Risk: An Exact Solution in an Infinite-Horizon General Equilibrium Model

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  • Andrew Abel

Abstract

The effects on asset prices of changes in risk are studied in a general equilibrium model in which the conditional risk evolves stochastically over time. The savings decisions of consumers take account of the fact that conditional risk is a serially correlated random variable. By restricting the specification of consumers’ preferences and the stochastic specification of dividends, it is possible to obtain an exact solution for the prices of the aggregate stock and diskless one-period bonds. An increase in the conditional risk reduces the stock price if and only if the elasticity marginal utility is less than one.

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Paper provided by Wharton School Rodney L. White Center for Financial Research in its series Rodney L. White Center for Financial Research Working Papers with number 15-88.

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Handle: RePEc:fth:pennfi:15-88

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  1. R. Mehra & E. Prescott, 2010. "The equity premium: a puzzle," Levine's Working Paper Archive 1401, David K. Levine.
  2. Pindyck, Robert S, 1984. "Risk, Inflation, and the Stock Market," American Economic Review, American Economic Association, vol. 74(3), pages 335-51, June.
  3. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-45, November.
  4. James M. Poterba & Lawrence H. Summers, 1984. "The Persistence of Volatility and Stock Market Fluctuations," NBER Working Papers 1462, National Bureau of Economic Research, Inc.
  5. Robert J. Hodrick, 1987. "Risk, Uncertainty and Exchange Rates," NBER Working Papers 2429, National Bureau of Economic Research, Inc.
  6. French, Kenneth R. & Schwert, G. William & Stambaugh, Robert F., 1987. "Expected stock returns and volatility," Journal of Financial Economics, Elsevier, vol. 19(1), pages 3-29, September.
  7. Barsky, Robert B, 1989. "Why Don't the Prices of Stocks and Bonds Move Together?," American Economic Review, American Economic Association, vol. 79(5), pages 1132-45, December.
  8. Michener, Ronald W, 1982. "Variance Bounds in a Simple Model of Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 166-75, February.
  9. LeRoy, Stephen F & LaCivita, C J, 1981. "Risk Aversion and the Dispersion of Asset Prices," The Journal of Business, University of Chicago Press, vol. 54(4), pages 535-47, October.
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