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Solving Models with External Habit

  • Jessica A. Wachter

Habit utility has been the focus of a large and growing body of literature in financial economics. This study investigates ways of accurately and efficiently solving the Campbell and Cochrane (1999) external habit model. Solutions for this model based on a grid of values for the state variable are shown to converge as the grid becomes increasingly fine. Convergence is substantially faster if the price-dividend ratio is computed as a series of ``zero-coupon equity'' claims rather than as the fixed-point of the Euler equation. Fitting the model to the term structure as well as to equity moments (as in Wachter (2005)) also results in faster convergence.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 11559.

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Date of creation: Aug 2005
Date of revision:
Publication status: published as Wachter, Jessica A. "Solving Models With External Habit," Finance Research Letters, 2005, v2(4,Dec), 210-226.
Handle: RePEc:nbr:nberwo:11559
Note: AP
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  1. Andrew B. Abel, 1990. "Asset Prices under Habit Formation and Catching up with the Joneses," NBER Working Papers 3279, National Bureau of Economic Research, Inc.
  2. John Y. Campbell & John H. Cochrane, 1994. "By force of habit: a consumption-based explanation of aggregate stock market behavior," Working Papers 94-17, Federal Reserve Bank of Philadelphia.
  3. Bekaert, Geert & Engstrom, Eric & Grenadier, Steve, 2006. "Stock and Bond Returns with Moody Investors," CEPR Discussion Papers 5951, C.E.P.R. Discussion Papers.
  4. Campbell, John, 1986. "Bond and Stock Returns in a Simple Exchange Model," Scholarly Articles 3122544, Harvard University Department of Economics.
  5. 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.
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  8. Andrew Ang & Jun Liu, 2004. "How to Discount Cashflows with Time-Varying Expected Returns," Journal of Finance, American Finance Association, vol. 59(6), pages 2745-2783, December.
  9. Martin Lettau & Jessica Wachter, 2005. "Why is Long-Horizon Equity Less Risky? A Duration-Based Explanation of the Value Premium," NBER Working Papers 11144, National Bureau of Economic Research, Inc.
  10. Brandt, Michael W. & Wang, Kevin Q., 2003. "Time-varying risk aversion and unexpected inflation," Journal of Monetary Economics, Elsevier, vol. 50(7), pages 1457-1498, October.
  11. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
  12. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
  13. Francisco Gomes & Alexander Michaelides, 2003. "Portfolio Choice With Internal Habit Formation: A Life-Cycle Model With Uninsurable Labor Income Risk," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(4), pages 729-766, October.
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  15. Wachter, Jessica A., 2006. "A consumption-based model of the term structure of interest rates," Journal of Financial Economics, Elsevier, vol. 79(2), pages 365-399, February.
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  18. John Y. Campbell & John H. Cochrane, 2000. "Explaining the Poor Performance of Consumption-based Asset Pricing Models," Journal of Finance, American Finance Association, vol. 55(6), pages 2863-2878, December.
  19. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
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  22. repec:dgr:kubcen:199554 is not listed on IDEAS
  23. Martin Lettau & Harald Uhlig, 2000. "Can Habit Formation be Reconciled with Business Cycle Facts?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(1), pages 79-99, January.
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