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Output Decision Under Demand Uncertainty with Stochastic Production Function: A Contingent Claims Approach

Kee H. Chung

Management Science · 1990 · Volume 36 · Issue 11

DOI: 10.1287/mnsc.36.11.1311

Abstract

This paper presents a contingent claims analysis of output decisions for the firm facing technological and demand uncertainty. The paper reveals that: (i) the optimal output level increases with the higher interest rate when the firm is subject to demand (and technological) uncertainty; (ii) the effect of demand volatility and production lead time on the optimal output level could be either positive or negative; (iii) the optimal project value decreases with the higher demand volatility; (iv) the optimal project value decreases with the longer production lead time when the firm is subject to demand uncertainty; and (v) the optimal project value decreases with the higher interest rate when the firm is subject to demand uncertainty; it increases with the higher interest rate, however, when the firm is subject to both demand and technological uncertainty. Some important managerial implications are discussed.

Keywords

output decision, contingent claims analysis, uncertainty

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