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A Stochastic Model of Investment, Marginal q and the Market Value of theFirm

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  • Andrew B. Abel

Abstract

This paper presents closed-form solutions for the investment and valuation of a competitive firm with a Cobb-Douglas production function and a constant elasticity adjustment cost function in the presence of stochastic prices for output and inputs. The value of the firm is a linear function of the capital stock. The optimal rate of investmentis an increasing function of the slope of the value function with respect to the capital stock (marginal q). A mean preserving spread of the distribution of future price increases investment. An increase in the scale of the random component of a price can increase, decrease or not affect the rate of investment depending on the sign of the covariance of this price with a weighted average of all prices.

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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 1484.

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Date of creation: Oct 1984
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Publication status: published as Abel, Andrew B. "A Stochastic Model of Investment, Marginal q and the Market Value of the Firm," International Economic Review, Vol. 26, No. 2, June 1985, pp. 305-322.
Handle: RePEc:nbr:nberwo:1484

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  1. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321.
  2. Tobin, James, 1969. "A General Equilibrium Approach to Monetary Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(1), pages 15-29, February.
  3. Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-34, June.
  4. R. C. Merton, 1970. "Optimum Consumption and Portfolio Rules in a Continuous-time Model," Working papers 58, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Pindyck, Robert S, 1982. "Adjustment Costs, Uncertainty, and the Behavior of the Firm," American Economic Review, American Economic Association, vol. 72(3), pages 415-27, June.
  6. Pindyck, Robert S., 1980. "Adjustment cost, demand uncertainty, and the behavior of the firm," Working papers 1112-80A., Massachusetts Institute of Technology (MIT), Sloan School of Management.
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Cited by:
  1. Bahmani-Oskooee, Mohsen & Hajilee, Massomeh, 2013. "Exchange rate volatility and its impact on domestic investment," Research in Economics, Elsevier, vol. 67(1), pages 1-12.
  2. Abel, Andrew B. & Eberly, Janice C., 1997. "An exact solution for the investment and value of a firm facing uncertainty, adjustment costs, and irreversibility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 831-852, May.
  3. Andrew B. Abel & Janice C. Eberly, . "An Exact Solution for the Investment and Market Value of a Firm Facing Uncertainty, Adjustment Costs, and Irreversibility," Rodney L. White Center for Financial Research Working Papers 12-93, Wharton School Rodney L. White Center for Financial Research.
  4. Meng, Rujing, 2008. "A patent race in a real options setting: Investment strategy, valuation, CAPM beta, and return volatility," Journal of Economic Dynamics and Control, Elsevier, vol. 32(10), pages 3192-3217, October.
  5. Bontempi, Maria Elena & Golinelli, Roberto & Parigi, Giuseppe, 2010. "Why demand uncertainty curbs investment: Evidence from a panel of Italian manufacturing firms," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 218-238, March.
  6. Michele Moretto & Paolo M. Panteghini & Carlo Scarpa, 2006. "Profit Sharing and Investment by Regulated Utilities: A Welfare Analysis," Working Papers ubs0611, University of Brescia, Department of Economics.
  7. Bronwyn H. Hall, 1988. "The Effect of Takeover Activity on Corporate Research and Development," NBER Chapters, in: Corporate Takeovers: Causes and Consequences, pages 69-100 National Bureau of Economic Research, Inc.
  8. Martin Feldstein & Joosung Jun, 1986. "The Effects of Tax Rules on Nonresidential Fixed Investment: Some Preliminary Evidence from the 1980s," NBER Working Papers 1857, National Bureau of Economic Research, Inc.
  9. Bernard Dumas, 1988. "Pricing Physical Assets Internationally," NBER Working Papers 2569, National Bureau of Economic Research, Inc.
  10. Kevin A. Hassett & Gilbert E. Metcalf, 1998. "Investment With Uncertain Tax Policy: Does Random Tax Policy Discourage Investment?," Discussion Papers Series, Department of Economics, Tufts University 9823, Department of Economics, Tufts University.
  11. H. Youn Kim, 2003. "Intertemporal production and asset pricing: a duality approach," Oxford Economic Papers, Oxford University Press, vol. 55(2), pages 344-379, April.
  12. Bronwyn Hall, 2006. "R&D, productivity and market value," IFS Working Papers W06/23, Institute for Fiscal Studies.
  13. Caren Sureth, 2002. "Partially Irreversible Investment Decisions and Taxation under Uncertainty: A Real Option Approach," German Economic Review, Verein für Socialpolitik, vol. 3(2), pages 185-221, 05.
  14. M. Menegatti, 2003. "Public Investment and Different Sources of Uncertainty," Economics Department Working Papers 2003-EP02, Department of Economics, Parma University (Italy).
  15. Bruno de Oliveira Cruz & Raouf Boucekkine, 2006. "Technological Progress and Investment Microeconomic Foundations and Macroeconomic Implications," Discussion Papers 1170, Instituto de Pesquisa Econômica Aplicada - IPEA.
  16. Benavie, Arthur & Grinols, Earl & Turnovsky, Stephen J., 1996. "Adjustment costs and investment in a stochastic endogenous growth model," Journal of Monetary Economics, Elsevier, vol. 38(1), pages 77-100, August.
  17. Richard W. Kopcke, 1995. "Tobin's Q, economic rents, and the optimal stock of capital," Working Papers 95-4, Federal Reserve Bank of Boston.

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