A Stochastic Model of Investment, Marginal Q and the Market Value of the Firm

A Stochastic Model of Investment, Marginal Q and the Market Value of the Firm
Author: Andrew B. Abel
Publisher:
Total Pages: 44
Release: 1984
Genre: Capital investments
ISBN:


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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.

Stochastic Rangeland Use Under Capital Constraints

Stochastic Rangeland Use Under Capital Constraints
Author: Mimako Kobayashi
Publisher:
Total Pages: 0
Release: 2010
Genre:
ISBN:


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The stocking density on Kazakhstan's extensive rangelands is well below traditional levels. To analyze dynamic flock performance, we develop a stochastic dynamic programming model for livestock systems with stochastic forage production. The model contains continuous five state and 12 control variables, allowing improved characterization of the biophysical relationships and economic tradeoffs inherent in such systems. Most Kazakhstan herders have restricted access to capital. The model indicates that the cost of capital strongly affects flock size and productivity. We conclude that capital constraints are important to explaining the current low stocking density. Improving capital markets in rural areas warrants policy attention.