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

  • Andrew B. Abel

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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File URL: http://www.nber.org/papers/w1484.pdf
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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
Date of revision:
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
Note: EFG
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  1. Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-34, June.
  2. Merton, Robert C., 1971. "Optimum consumption and portfolio rules in a continuous-time model," Journal of Economic Theory, Elsevier, vol. 3(4), pages 373-413, December.
  3. 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.
  4. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321.
  5. 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.
  6. 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.
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