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Asset Pricing and Optimal Portfolio Choice in the Presence of Illiquid Durable Consumption Goods

  • Sanford J Grossman
  • Guy Laroque

We analyze a model of optimal consumption and portfolio selection in which consumption services are generated by holding a durable good. The durable good is illiquid in that a transaction cost must be paid when the good is sold. It is shown that optimal consumption is not a smooth function of wealth; it is optimal for the consumer to wait until a large change in wealth occurs before adjusting his consumption. As a consequence, the consumption based capital asset pricing model fails to hold. Nevertheless, it is shown that the standard, one factor, market portfolio based capital asset pricing model does hold in this environment. It is shown that the optimal durable level is characterized by three numbers (not random variables), say x, y, and z (where x

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 618897000000000803.

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Date of creation: 30 Apr 2003
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Handle: RePEc:cla:levarc:618897000000000803
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  1. Bernanke, Ben, 1985. "Adjustment costs, durables, and aggregate consumption," Journal of Monetary Economics, Elsevier, vol. 15(1), pages 41-68, January.
  2. Flemming, J S, 1969. "The Utility of Wealth and the Utility of Windfalls," Review of Economic Studies, Wiley Blackwell, vol. 36(105), pages 55-66, January.
  3. Martin S. Eichenbaum & Lars Peter Hansen, 1987. "Estimating Models with Intertemporal Substitution Using Aggregate Time Series Data," NBER Working Papers 2181, National Bureau of Economic Research, Inc.
  4. N. Gregory Mankiw & Matthew D. Shapiro, 1987. "Risk and Return: Consumption versus Market Beta," NBER Working Papers 1399, National Bureau of Economic Research, Inc.
  5. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-57, August.
  6. Avner BAR-ILAN & Alan S. BLINDER, 1988. "The Life Cycle Permanent-Income Model and Consumer Durables," Annales d'Economie et de Statistique, ENSAE, issue 9, pages 71-91.
  7. Constantinides, George M, 1986. "Capital Market Equilibrium with Transaction Costs," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 842-62, August.
  8. Flavin, Marjorie A, 1981. "The Adjustment of Consumption to Changing Expectations about Future Income," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 974-1009, October.
  9. Grossman, S J & Melino, Angelo & Shiller, Robert J, 1987. "Estimating the Continuous-Time Consumption-Based Asset-Pricing Model," Journal of Business & Economic Statistics, American Statistical Association, vol. 5(3), pages 315-27, July.
  10. Harrison, J. Michael & Taylor, Allison J., 1978. "Optimal control of a Brownian storage system," Stochastic Processes and their Applications, Elsevier, vol. 6(2), pages 179-194, January.
  11. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-65, April.
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