TY - JOUR AU - Abel,Andrew B. TI - A Stochastic Model of Investment, Marginal q and the Market Value of theFirm JF - National Bureau of Economic Research Working Paper Series VL - No. 1484 PY - 1986 Y2 - 1986 UR - http://www.nber.org/papers/w1484 L1 - http://www.nber.org/papers/w1484.pdf N1 - Author contact info: Andrew B. Abel Wharton School University of Pennsylvania 2315 Steinberg Hall - Dietrich Hall Philadelphia, PA 19104-6367 Tel: 215/898-4801 Fax: 215/573-7244 E-Mail: abel@wharton.upenn.edu AB - 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. ER -