A Stochastic Model of Investment, Marginal q and the Market Value of the Firm
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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Volume (Year): 26 (1985)
Issue (Month): 2 (June)
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- 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.
- 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.
- Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321-321.
- Fischer, Stanley, 1975. "The Demand for Index Bonds," Journal of Political Economy, University of Chicago Press, vol. 83(3), pages 509-534, June.
- 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.
- 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.
- J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," Review of Economic Studies, Oxford University Press, vol. 35(1), pages 47-55.
- Pindyck, Robert S, 1982. "Adjustment Costs, Uncertainty, and the Behavior of the Firm," American Economic Review, American Economic Association, vol. 72(3), pages 415-427, June.
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