Pricing and rebate policies for the newsvendor problem in the presence of a stochastic redemption rate

Abstract This paper develops the pricing/rebate/ordering policies of a profit-maximizing vendor, faced with a stochastic rebate-redemption rate and a price/rebate-dependent random demand, all within the single-period framework of the newsvendor problem. The profitability of these policies directly relates to the redemption rate, which in turn depends upon the rebate value by itself and relative to the sales price. A random element accounts for the uncertainty in the estimation of such rate. The decision variables are the sales price, the rebate value and the order size. A numerical example and various sensitivity analyses illustrate the main managerial insights of the model. One of the key results is that the introduction of uncertainty in the redemption rate, contrary to what happens when moving from a deterministic to a stochastic demand, leads the rebate policy to dominate its price–discount counterpart.

[1]  E. Mills.  Uncertainty and Price Theory , 1959 .

[2]  H. Varian.  Intermediate Microeconomics: A Modern Approach , 1987 .

[3]  Moutaz Khouja,et al.  Production , Manufacturing and Logistics A joint optimal pricing , rebate value , and lot sizing model , 2006 .

[4]  Robert P. Leone.  Coupon face value: Its impact on coupon redemptions, brand sales, and brand profitability , 1996 .

[5]  Hon-Shiang Lau,et al.  Some two-echelon style-goods inventory models with asymmetric market information , 2001, Eur. J. Oper. Res..

[6]  David F. Pyke,et al.  Inventory management and production planning and scheduling , 1998 .

[7]  Maqbool Dada,et al.  Pricing and the Newsvendor Problem: A Review with Extensions , 1999, Oper. Res..

[8]  David J. Reibstein,et al.  Factors Affecting Coupon Redemption Rates , 1982 .

[9]  D. Simchi-Levi,et al.  Coordination of Pricing and Inventory Decisions: A Survey and Classification , 2004 .

[10]  Barton A. Weitz,et al.  Handbook of marketing , 2002 .

[11]  René Y. Darmon,et al.  A model for optimizing the refund value in rebate promotions , 1994 .

[12]  Francisco J. Arcelus,et al.  Retailer's Response to Alternate Manufacturer's Incentives Under a Single-Period, Price-Dependent, Stochastic-Demand Framework , 2005, Decis. Sci..

[13]  S. Gilbert,et al.  Note. the Role of Returns Policies in Pricing and Inventory Decisions for Catalogue Goods , 1998 .

[14]  Herbert E. Scarf,et al.  Studies in applied probability and management science , 1962 .

[15]  David Besanko,et al.  Own-Brand and Cross-Brand Retail Pass-Through , 2005 .

[16]  Stephen J. Hoch,et al.  Price Discrimination using in-Store Merchandising , 1996 .

[17]  Francisco J. Arcelus,et al.  Scanbacks and direct rebates: manufacturer's tools against forward buying , 2003 .

[18]  David R. Bell,et al.  Changing the Channel: A Better Way To Do Trade Promotions , 2002 .

[19]  Nanda Kumar,et al.  Effectiveness of Trade Promotions: Analyzing the Determinants of Retail Pass Through , 2001 .

[20]  Vikas Kumar,et al.  Price discounts or coupon promotions: does it matter? , 2004 .

[21]  M. Khouja.  The single-period (news-vendor) problem: literature review and suggestions for future research , 1999 .

[22]  Sridhar Moorthy,et al.  A General Theory of Pass-Through in Channels with Category Management and Retail Competition , 2005 .

[23]  David Noonan,et al.  A healthy heart. , 2003, Newsweek.

[24]  Saibal Ray.  An Integrated Operations-Marketing Model for Innovative Products and Services , 2005 .

[25]  D. Soman.  The Illusion of Delayed Incentives: Evaluating Future Effort–Money Transactions , 1998 .

[26]  R. Tyagi.  A Characterization of Retailer Response to Manufacturer Trade Deals , 1999 .