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A Stochastic Model of Investment, Marginal q and the Market Value of theFirm / Andrew B. Abel.

By: Contributor(s): Material type: TextTextSeries: Working Paper Series (National Bureau of Economic Research) ; no. w1484.Publication details: Cambridge, Mass. National Bureau of Economic Research 1984.Description: 1 online resource: illustrations (black and white)Online resources: Available additional physical forms:
  • Hardcopy version available to institutional subscribers
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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Working Paper Biblioteca Digital Colección NBER nber w1484 (Browse shelf(Opens below)) Not For Loan
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October 1984.

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.

Hardcopy version available to institutional subscribers

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