Pricing training and development programs using stochastic CVP analysis

Abstract

AbstractThis paper sets forth, analyzes and applies a stochastic cost‐volume‐profit (CVP) model specifically geared toward the determination of enrollment fees for training and development (T+D) programs. It is a simpler model than many of those developed in the research literature, but it does incorporate one advanced component: an ‘economic’ demand function relating the expected sales level to price. Price is neither a constant nor a random variable in this model but rather the decision‐maker's basic control variable. The simplicity of the model permits analytical solutions for five ‘special prices’: (1) the highest price which sets breakeven probability equal to a minimum acceptable level; (2) the price which maximizes expected profits; (3) the price which maximizes a Cobb–Douglas utility function based on expected profits and breakeven probability; (4) the price which maximizes breakeven probability; and (5) the lowest price which sets breakeven probability equal to a minimum acceptable level. The model is applied to data provided by the Center for Management and Professional Development at the authors' university. The results suggest that there could be a significant payoff to fine‐tuning a T+D provider's pricing strategy using formal analysis. Copyright © 2005 John Wiley & Sons, Ltd.