Theoretical Analysis of the Difference Between the Traditional and the Annuity Stream Principles Applied to Inventory Evaluation

  • Anders Thorstenson
  • Robert W. Grubbström
Part of the Contributions to Management Science book series (MANAGEMENT SC.)


This paper compares consequences from a theoretical standpoint as to capital costs derived from two inventory evaluation principles. On the one hand, according to the traditional principle, physical inventory is valued at cost-incurred-to-date and the capital costs are then estimated as an interest charge on this average value. On the other hand, according to the annuity stream principle, the capital costs of inventory are obtained as the interest-dependent part of the annuity stream derived from the cash flow associated with the physical inventory build-up. Whereas the traditional approach attempts at approximating traditional accounting procedures, the annuity stream principle is in agreement with financial theory and it is therefore considered the superior of the two, since it implies that a coherent methodology is applied to the evaluation of capital used in any type of investment, whether it be inventory or other working capital, plant, equipment, or any other type of material or immaterial asset. The present inquiry highlights some theoretical issues concerning the differences between the two evaluation principles. It is shown how the first-order difference in capital costs depends on the fluctuation of profit around its long-run average.


Interest Rate Cash Flow Capital Cost Profit Function Laurent Series 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Grubbström, RW. (1980), A Principle for Determining the Correct Capital Costs of Work-in-Progress and Inventory, International Journal of Production Research, Vol 18, No 2, pp 259–271CrossRefGoogle Scholar
  2. Grubbström, RW. (1991), The z-Transform of tk. Mathematical Scientist, Vol 16, pp 118–129Google Scholar
  3. Hadley, G. (1963), A Comparison of Order Quantities Using the Average Annual Cost and the Discounted Cost, Management Science, Vol 10, No 3, pp 472–476CrossRefGoogle Scholar
  4. Kim, Y.H., Philippatos, G.C. and Chung, K.H. (1986), Evaluating Investment in Inventory Policy: A Net Present Value Framework, Engineering Economist, Vol 31, No 2, pp 119–136CrossRefGoogle Scholar
  5. Richardson, C.H. (1954), An Introduction to the Calculus of Finite Differences, Van Nostrand, New YorkGoogle Scholar
  6. Thorstenson, A. (1988), Capital Costs in Inventory Models - A Discounted Cash Flow Approach, Production-Economic Research in Linköping ( PROFIL ), UnköpingGoogle Scholar
  7. Trippi, RR and Lewin, D.E. (1974), A Present Value Formulation of the Classical EOQ Problem, Decision Sciences, Vol 5, pp 30–35CrossRefGoogle Scholar

Copyright information

© Physica-Verlag Heidelberg 1993

Authors and Affiliations

  • Anders Thorstenson
    • 1
  • Robert W. Grubbström
    • 1
  1. 1.Department of Production EconomicsLinköping Institute of TechnologyLinköpingSweden

Personalised recommendations