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The Dynamics of Car Sales: A Discrete Choice Approach

  • Jerome Adda
  • Russell Cooper

Mankiw [1982] explores the Permanent Income Hypothesis implication that durable expenditures follow an ARMA(1,1) representation. He finds that durable expenditures are represented by an AR(1) process which implies that the rate of depreciation of durables, under the PIH model, is 100%. This finding presents a puzzle. Our paper builds on earlier work which attempts to explain this puzzle by considering the aggregation of the discrete dynamic choices of heterogeneous households. We implement this approach by estimating a dynamic discrete choice model of car replacement. We find that through aggregation we can explain both the AR and MA components of Mankiw's results. Further we find that our model is able to match a VAR representation of car sales, prices and income. We find that most of the variation in car sales is due to shocks which influence the replacement probability.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 7785.

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Date of creation: Jul 2000
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Handle: RePEc:nbr:nberwo:7785
Note: EFG
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  1. Orazio Attanasio & Pinelopi K. Goldberg & Ekaterini Kyriazidou, 2000. "Credit Constraints in the Market for Consumer Durables: Evidence from Micro Data on Car Loans," NBER Working Papers 7694, National Bureau of Economic Research, Inc.
  2. Eberly, J.C., 1990. "Adjustment of Consumers'durables Stocks: Evidence from Automobile Purchases," Weiss Center Working Papers 22-91, Wharton School - Weiss Center for International Financial Research.
  3. Caballero, R.J., 1990. "Durable Goods: An Explanation For Their Slow Adjustment," Discussion Papers 1990_49, Columbia University, Department of Economics.
  4. Ben S. Bernanke, 1982. "Adjustment Costs, Durables, and Aggregate Consumption," NBER Working Papers 1038, National Bureau of Economic Research, Inc.
  5. Gourieroux, C & Monfort, A & Renault, E, 1993. "Indirect Inference," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages S85-118, Suppl. De.
  6. Ennio Stacchetti & Dmitriy Stolyarov, 2004. "Obsolescence of Durable Goods and Optimal Consumption," Econometric Society 2004 North American Summer Meetings 120, Econometric Society.
  7. Jerome Adda & Russell Cooper, 2000. "Balladurette and Juppette: A Discrete Analysis of Scrapping Subsidies," Journal of Political Economy, University of Chicago Press, vol. 108(4), pages 778-806, August.
  8. Andrew Caplin & John Leahy, 1999. "Durable Goods Cycles," NBER Working Papers 6987, National Bureau of Economic Research, Inc.
  9. Mankiw, N. Gregory, 1982. "Hall's consumption hypothesis and durable goods," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 417-425.
  10. 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.
  11. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
  12. Rust, John, 1985. "Stationary Equilibrium in a Market for Durable Assets," Econometrica, Econometric Society, vol. 53(4), pages 783-805, July.
  13. John V. Leahy & Joseph Zeira, 2005. "The Timing of Purchases and Aggregate Fluctuations," Review of Economic Studies, Oxford University Press, vol. 72(4), pages 1127-1151.
  14. Russell Cooper & John Haltiwanger & Laura Power, 1995. "Machine Replacement and the Business Cycle: Lumps and Bumps," NBER Working Papers 5260, National Bureau of Economic Research, Inc.
  15. Bar-Ilan, Avner & Blinder, Alan S, 1992. "Consumer Durables: Evidence on the Optimality of Usually Doing Nothing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(2), pages 258-72, May.
  16. Caballero, R.J., 1989. "Expenditure On Durable Goods: A Case For Slow Adjustment," Discussion Papers 1989_21, Columbia University, Department of Economics.
  17. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December.
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