A Reply to "A Comment on the Consistency of Estimating the Inventory Impact of Defense Orders"
Gramlich and Galper (hereafter referred to as GG) indeed have performed a useful service by pointing out that an erroneous equation was included in my paper [3]. The corrected inventory change equation, the equation with all lagged orders included, was almost identical with the results obtained by applying GG's method (ii) to the order-inventory stock equation presented in Column (2), Table IV of my paper [3, p. 161]. The results are consistent when GG's methods (ii) and (iii) are applied on the correct equations. In any case, GG's methods (ii) and (iii) are well known and deserve no debate here. However, the same cannot be said of their method (i). GG's method (i) is based on two crucial assumptions concerning the pattern of the production process and inventories of defense products. The validity of using the method to derive the coefficients of an inventory change equation from an order-shipment relationship depends directly on these assumptions. If the assumptions describe exactly the actual patterns of the production process and of inventory build-up, then method (i) can be used for GG's purpose. Unfortunately, both of these assumptions are very unrealistic, and the use of method (i) yields misleading results. In their derivation of method (i), GG assume that the production process is rectangular. Furthermore, the authors claim that the method is valid regardless of what is assumed about the shape of the production process-a rectangular assumption serves as well as any.' This claim is faulty, as the following example demonstrates.