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Estimating empirical marginal adjustment cost function: a power series approach

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Abstract

Using insights obtained from Newey’s (1994) series estimator and a novel restatement of the q-theory that additively separates the marginal adjustment cost term in the canonical model, I model and estimate the shape of the marginal adjustment cost function. I discuss the issues in specification and identification in details, focusing particularly on the misspecification due to the q-ratio being an insufficient statistic for determining investment. The function recovered from the Indian 2014 WBES data can explain both lumpy and serially correlated investment.

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Notes

  1. Hayashi (1982) relates the two measures by showing that under perfect competition in the output market and homothetic adjustment cost, the marginal and average measures of q are equivalent.

  2. The cost-free level of investment \(v\) on the right-hand side is assumed away, which simply pushes the constant term upward. Excess capacity can be shown to absorb any effects of \(v\), see Cooper (2006). In the latter parts of the text, I bring it back and even try to calculate it from the reduced-form parameters.

References

  • Abel AB, Eberly JC (2011) How Q and cash flow affect investment without frictions: an analytic explanation. Rev Econ Stud 78(4):1179–1200

    Article  Google Scholar 

  • Amemiya T (1985) Tobit models (Chapter 10). In: Amemiya T (ed) Advanced econometrics. Harvard University Press, Cambridge, pp 360–411

    Google Scholar 

  • Arrow KJ, Solow RM, Chenery HB, Minhas BS (1961) Capital-labor substitution and economic efficiency. Rev Econ Stat 43(3):225–250

  • Barnett SA, Sakellaris P (1998) Non-linear response of firm investment to Q: testing a model of convex and non-convex adjustment costs. J Monet Econ 42(2):261–288

    Article  Google Scholar 

  • Clementi GL, Palazzo B (2019) Investment and the cross-section of equity returns. J Finance 74(1):281–321

    Article  Google Scholar 

  • Cooper I (2006) Asset pricing implications of nonconvex adjustment costs and irreversibility of investment. J Finance 61(1):139–170

    Article  Google Scholar 

  • Cooper RW, Haltiwanger JC (2006) On the nature of capital adjustment costs. Rev Econ Stud 73(3):611–633

    Article  Google Scholar 

  • Das S (1991) Are convex adjustment costs necessary for investment smoothing? South Econ J 58(1):268–272

    Article  Google Scholar 

  • Enterprise Surveys Data (2019, August 15) Retrieved from Enterprise Surveys - What Businesses Experience - World Bank Group: https://www.enterprisesurveys.org/data

  • Førsund FR (1975) The homothetic production function. Swed J Econ 77(2):234–244

    Article  Google Scholar 

  • Fisher FM (1971) Aggregate production functions and the explanation of wages: a simulation experiment. Rev Econ Stat 53(4):305–325

    Article  Google Scholar 

  • Fisher FM, Felipe J (2003) Aggregation in production functions: what applied economists should know. Metroeconomica 54(2–3):208–262

    Google Scholar 

  • Fisher FM, Solow RM, Kearl JR (1977) Aggregate production functions: some CES experiments. Rev Econ Stud 44(2):305–320

    Article  Google Scholar 

  • Gould JP (1968) Adjustment costs in the theory of investment of the firm. Rev Econ Stud 35(1):47–55

    Article  Google Scholar 

  • Härdle WK, Mammen E (1993) Comparing nonparametric versus parametric regression fits. Ann Stat 21(4):1926–1947

    Article  Google Scholar 

  • Hayashi F (1982) Tobin’s marginal q and average q: a neoclassical interpretation. Econometrica 50(1):213–224

    Article  Google Scholar 

  • Jensen MC (1986) Agency costs of free cash flow, corporate finance, and takeovers. Am Econ Rev 76(2):323–329

    Google Scholar 

  • Jorgenson DW (1963) Capital theory and investment behavior. Am Econ Rev 53(2):247–259

    Google Scholar 

  • Khan A, Thomas JK (2008a) Adjustment costs. The new Palgrave dictionary of economics. Palgrave Macmillan, London

    Google Scholar 

  • Khan A, Thomas JK (2008b) Idiosyncratic shocks and the role of nonconvexities in plant and aggregate investment dynamics. Econometrica 76(2):395–436

    Article  Google Scholar 

  • Khan MN (2020) A structural investment equation derived from the q-theory under restrictions on firm-level technology. Soc Sci Res Netw. https://doi.org/10.2139/ssrn.3557684

    Article  Google Scholar 

  • Lewbel A, Linton O (2003) Nonparametric estimation of homothetic and homothetically separable functions. Soc Sci Res Netw. https://doi.org/10.2139/ssrn.489362

    Article  Google Scholar 

  • Lindenberg EB, Ross SA (1981) Tobin’s q ratio and industrial organization. J Bus 54(1):1–32

  • May JD, Denny M (1979) Factor-augmenting technical progress and productivity in U.S. manufacturing. Int Econ Rev 20(3):759–774

  • Mroz TA, Savage TH (1999) Overfitting and biases in nonparametric kernel regressions using cross-validated bandwidths: a cautionary note. Department of Economics, University of North Carolina, Chapel Hill

    Google Scholar 

  • Newey WK (1994) Series estimation of regression functionals. Economet Theor 10(1):1–28

    Article  Google Scholar 

  • Newey WK (1997) Convergence rates and asymptotic normality for series estimators. J Economet 79(1):147–168

    Article  Google Scholar 

  • Parente PM, Silva JS (2012) A cautionary note on tests of overidentifying restrictions. Econ Lett 115(2):314–317

    Article  Google Scholar 

  • Rader T (1968) Normally, factor inputs are never gross substitutes. J Polit Econ 76(1):38–43

    Article  Google Scholar 

  • Robinson PM (1988) Root-N-consistent semiparametric regression. Econometrica 56(4):931–954

    Article  Google Scholar 

  • Summers LH, Bosworth BP, Tobin J, White PM (1981) Taxation and corporate investment: a q-theory approach. Brook Pap Econ Act 1981(1):67–140

    Article  Google Scholar 

  • Tobin J (1969) A general equilibrium approach to monetary theory. J Money Credit Bank 1(1):15–29

    Article  Google Scholar 

  • Tobin J, Brainard WC (1976) Asset markets and the cost of capital. Yale University, New Haven

    Google Scholar 

  • Wolkowitz B (1971) A set of explicit homothetic production functions. Am Econ Rev 61(5):980–983

    Google Scholar 

  • Yatchew A (1997) An elementary estimator of the partial linear model. Econ Lett 57(2):135–143

    Article  Google Scholar 

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Correspondence to Muhammad Nazmul Khan.

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The study has been done without any external support, and I have no conflicts of interest to disclose.

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Khan, M.N. Estimating empirical marginal adjustment cost function: a power series approach. Empir Econ 63, 3185–3210 (2022). https://doi.org/10.1007/s00181-022-02232-6

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