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Euler-equation estimation for discrete choice models: a capital accumulation application


  • Russell W. Cooper
  • John Haltiwanger
  • Jonathan L. Willis


This paper studies capital adjustment at the establishment level. Our goal is to characterize capital adjustment costs, which are important for understanding both the dynamics of aggregate investment and the impact of various policies on capital accumulation. Our estimation strategy searches for parameters that minimize ex post errors in an Euler equation. This strategy is quite common in models for which adjustment occurs in each period. Here, we extend that logic to the estimation of parameters of dynamic optimization problems in which non-convexities lead to extended periods of investment inactivity. In doing so, we create a method to take into account censored observations stemming from intermittent investment. This methodology allows us to take the structural model directly to the data, avoiding time-consuming simulation-based methods. To study the effectiveness of this methodology, we first undertake several Monte Carlo exercises using data generated by the structural model. We then estimate capital adjustment costs for U.S. manufacturing establishments in two sectors.

Suggested Citation

  • Russell W. Cooper & John Haltiwanger & Jonathan L. Willis, 2010. "Euler-equation estimation for discrete choice models: a capital accumulation application," Research Working Paper RWP 10-04, Federal Reserve Bank of Kansas City.
  • Handle: RePEc:fip:fedkrw:rwp10-04

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    References listed on IDEAS

    1. Gilchrist, Simon & Himmelberg, Charles P., 1995. "Evidence on the role of cash flow for investment," Journal of Monetary Economics, Elsevier, vol. 36(3), pages 541-572, December.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    4. Griliches, Zvi & Hausman, Jerry A., 1986. "Errors in variables in panel data," Journal of Econometrics, Elsevier, vol. 31(1), pages 93-118, February.
    5. Eberly, Janice C, 1994. "Adjustment of Consumers' Durables Stocks: Evidence from Automobile Purchases," Journal of Political Economy, University of Chicago Press, vol. 102(3), pages 403-436, June.
    6. Russell W. Cooper & John C. Haltiwanger, 2006. "On the Nature of Capital Adjustment Costs," Review of Economic Studies, Oxford University Press, vol. 73(3), pages 611-633.
    7. Aguirregabiria, V., 1997. "Estimation of Dynamic Programming Models with Censored Dependent Variables," UWO Department of Economics Working Papers 9711, University of Western Ontario, Department of Economics.
    8. Hansen, Lars Peter & Singleton, Kenneth J, 1982. "Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 50(5), pages 1269-1286, September.
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    Cited by:

    1. Yashiv, Eran, 2011. "The Joint Behavior of Hiring and Investment," CEPR Discussion Papers 8237, C.E.P.R. Discussion Papers.
    2. Victor Aguirregabiria & Arvind Magesan, 2013. "Euler Equations for the Estimation of Dynamic Discrete Choice Structural Models," Working Papers tecipa-489, University of Toronto, Department of Economics.
    3. Victor Aguirregabiria & Arvind Magesan, "undated". "Soultion and Estimation of Dynamic Discrete Choice Structural Models Using Euler Equations," Working Papers 2016-32, Department of Economics, University of Calgary, revised 24 May 2016.
    4. Letterie, Wilko & Nilsen, Øivind A., 2016. "Price Changes - Stickiness and Internal Coordination in Multiproduct Firms," Discussion Paper Series in Economics 21/2016, Norwegian School of Economics, Department of Economics.
    5. Hirokazu Mizobata, 2015. "Hiring, investments, and financial distress: evidence from a Panel VAR analysis of Japanese firms," Economics Bulletin, AccessEcon, vol. 35(4), pages 2558-2566.
    6. Yashiv, Eran, 2012. "Frictions and the Joint Behavior of Hiring and Investment," IZA Discussion Papers 6636, Institute for the Study of Labor (IZA).
    7. Yosef Bonaparte & Russell Cooper, 2010. "Costly Portfolio Adjustment," Economics Working Papers ECO2010/19, European University Institute.

    More about this item

    JEL classification:

    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models
    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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