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An Empirical Model of Inventory Investment by Durable Commodity Intermediaries

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  • George Hall

    (Yale University)

  • John Rust

    (Yale University)

Abstract

We present a new detailed data set of high-frequency observations on inventory investment by a U.S. steel wholesaler. Our analysis of the data leads to six main conclusions: orders and sales are made infrequently; orders are more volatile than sales; order sizes vary considerably; there is considerable day-to-day variability in sales prices; inventory/sales ratios are unstable; and there are occasional stockouts. We model the firm generically as a durable commodity intermediary. We demonstrate that the firm's behavior at the product level is well approximated by an optimal trading strategy derived from a multi-dimensional nonlinear dynamic programming problem with continuous state and control variables which are subject to frequently binding inequality constraints. We show that the optimal trading strategy takes the form of a generalized (S,s) rule in which the (S,s) bands are decreasing functions of the spot price. We simulate a calibrated version of this model, and show that the simulated data exhibit the key features of inventory investment we observe in our data.

Suggested Citation

  • George Hall & John Rust, 1999. "An Empirical Model of Inventory Investment by Durable Commodity Intermediaries," Macroeconomics 9904005, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpma:9904005
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    1. Fair, Ray C., 1989. "The production-smoothing model is alive and well," Journal of Monetary Economics, Elsevier, vol. 24(3), pages 353-370, November.
    2. Miron, Jeffrey A & Zeldes, Stephen P, 1988. "Seasonality, Cost Shocks, and the Production Smoothing Models of Inventories," Econometrica, Econometric Society, vol. 56(4), pages 877-908, July.
    3. Ramey, Valerie A. & West, Kenneth D., 1999. "Inventories," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 13, pages 863-923, Elsevier.
    4. Blinder, Alan S, 1986. "More on the Speed of Adjustment in Inventory Models," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(3), pages 355-365, August.
    5. Alan S. Blinder, 1986. "Can the Production Smoothing Model of Inventory Behavior be Saved?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(3), pages 431-453.
    6. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, April.
    7. Victor Aguirregabiria, 1999. "The Dynamics of Markups and Inventories in Retailing Firms," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(2), pages 275-308.
    8. Williams,Jeffrey C. & Wright,Brian D., 2005. "Storage and Commodity Markets," Cambridge Books, Cambridge University Press, number 9780521023399, October.
    9. James A. Kahn & Mark Bils, 2000. "What Inventory Behavior Tells Us about Business Cycles," American Economic Review, American Economic Association, vol. 90(3), pages 458-481, June.
    10. anonymous, 1997. "Making change: reinventing the Federal Reserve," Annual Report, Federal Reserve Bank of St. Louis, pages 4-15.
    11. Miron, Jeffrey A. & Zeldes, Stephen P., 1989. "Production, sales, and the change in inventories : An identity that doesn't add up," Journal of Monetary Economics, Elsevier, vol. 24(1), pages 31-51, July.
    12. Jonas D. M. Fisher & Andreas Hornstein, 2000. "(S, s) Inventory Policies in General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 117-145.
    13. Kashyap, Anil K & Wilcox, David W, 1993. "Production and Inventory Control at the General Motors Corporation during the 1920's and 1930's," American Economic Review, American Economic Association, vol. 83(3), pages 383-401, June.
    14. West, Kenneth D, 1986. "A Variance Bounds Test of the Linear Quadratic Inventory Model," Journal of Political Economy, University of Chicago Press, vol. 94(2), pages 374-401, April.
    15. Blanchard, Olivier J, 1983. "The Production and Inventory Behavior of the American Automobile Industry," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 365-400, June.
    16. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 1-23.
    17. James A. Kahn, 1992. "Why is Production More Volatile than Sales? Theory and Evidence on the Stockout-Avoidance Motive for Inventory-Holding," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 481-510.
    18. Eichenbaum, Martin, 1989. "Some Empirical Evidence on the Production Level and Production Cost Smoothing Models of Inventory Investment," American Economic Review, American Economic Association, vol. 79(4), pages 853-864, September.
    19. Eichenbaum, Martin S., 1984. "Rational expectations and the smoothing properties of inventories of finished goods," Journal of Monetary Economics, Elsevier, vol. 14(1), pages 71-96, July.
    20. Kahn, James A, 1987. "Inventories and the Volatility of Production," American Economic Review, American Economic Association, vol. 77(4), pages 667-679, September.
    21. Ramey, Valerie A, 1991. "Nonconvex Costs and the Behavior of Inventories," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 306-334, April.
    22. Martin Feldstein & Alan Auerbach, 1976. "Inventory Behavior in Durable-Goods Manufacturing: The Target-Adjustment Model," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 7(2), pages 351-408.
    23. John Rust, 1997. "Using Randomization to Break the Curse of Dimensionality," Econometrica, Econometric Society, vol. 65(3), pages 487-516, May.
    24. John Rust, 1997. "A Comparison of Policy Iteration Methods for Solving Continuous-State, Infinite-Horizon Markovian Decision Problems Using Random, Quasi-random, and Deterministic Discretizations," Computational Economics 9704001, University Library of Munich, Germany.
    25. Timothy F. Bresnahan & Valerie A. Ramey, 1994. "Output Fluctuations at the Plant Level," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(3), pages 593-624.
    26. John Rust & Joseph Traub & Henryk Wozniakowski, 1999. "No Curse of Dimensionality for Contraction Fixed Points Even in the Worst Case," Computational Economics 9902001, University Library of Munich, Germany.
    27. Caplin, Andrew S, 1985. "The Variability of Aggregate Demand with (S, s) Inventory Policies," Econometrica, Econometric Society, vol. 53(6), pages 1395-1409, November.
    28. Andrew B. Abel, 1985. "Inventories, Stock-Outs and Production Smoothing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 283-293.
    29. Hall, George J., 2000. "Non-convex costs and capital utilization: A study of production scheduling at automobile assembly plants," Journal of Monetary Economics, Elsevier, vol. 45(3), pages 681-716, June.
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    Cited by:

    1. George Hall and John Rust, Yale University, 2001. "Econometric Methods for Endogenously Sampled Time Series: The Case of Commodity Price Speculation in the Steel Market," Computing in Economics and Finance 2001 274, Society for Computational Economics.
    2. George Alessandria & Joseph P. Kaboski & Virgiliu Midrigan, 2010. "Inventories, Lumpy Trade, and Large Devaluations," American Economic Review, American Economic Association, vol. 100(5), pages 2304-2339, December.
    3. Gautier, Erwan & Le Bihan, Hervé, 2011. "Time-varying (S, s) band models: Properties and interpretation," Journal of Economic Dynamics and Control, Elsevier, vol. 35(3), pages 394-412, March.
    4. Gautier, E. & Le Bihan, H., 2009. "Time-varying (S, s) band models: empirical properties and interpretation," Working papers 231, Banque de France.
    5. Aubhik Khan & Julia K. Thomas, 2007. "Inventories and the Business Cycle: An Equilibrium Analysis of ( S , s ) Policies," American Economic Review, American Economic Association, vol. 97(4), pages 1165-1188, September.
    6. Victor Aguirregabiria & Francis Guiton, 2022. "Decentralized Decision-Making in Retail Chains: Evidence from Inventory Management," Working Papers tecipa-722, University of Toronto, Department of Economics.
    7. Florian Zettelmeyer & Fiona Scott Morton & Jorge Silva-Risso, 2006. "Scarcity Rents in Car Retailing: Evidence from Inventory Fluctuations at Dealerships," NBER Working Papers 12177, National Bureau of Economic Research, Inc.
    8. Blume, Lawrence E. & Easley, David & Kleinberg, Jon & Tardos, Éva, 2009. "Trading networks with price-setting agents," Games and Economic Behavior, Elsevier, vol. 67(1), pages 36-50, September.
    9. John Rust & George Hall, 2003. "Middlemen versus Market Makers: A Theory of Competitive Exchange," Journal of Political Economy, University of Chicago Press, vol. 111(2), pages 353-403, April.
    10. Horst Raff & Nicolas Schmitt & Frank Stähler, 2018. "How Importers May Hedge Demand Uncertainty," Discussion Papers dp18-03, Department of Economics, Simon Fraser University.
    11. Ejarque, João Miguel, 2011. "Evaluating the economic cost of natural gas strategic storage restrictions," Energy Economics, Elsevier, vol. 33(1), pages 44-55, January.
    12. Jia Yan & John Liu, 2008. "Instability of Dynamic Inventory Systems," Working Papers 2008-23, School of Economic Sciences, Washington State University.
    13. Oleksiy Kryvtsov & Virgiliu Midrigan, 2013. "Inventories, Markups, and Real Rigidities in Menu Cost Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(1), pages 249-276.
    14. Robert L. Bray & Yuliang Yao & Yongrui Duan & Jiazhen Huo, 2019. "Ration Gaming and the Bullwhip Effect," Operations Research, INFORMS, vol. 67(2), pages 453-467, March.
    15. Cavallo, Alberto & Kryvtsov, Oleksiy, 2023. "What can stockouts tell us about inflation? Evidence from online micro data," Journal of International Economics, Elsevier, vol. 146(C).
    16. Fabio Antoniou & Raffaele Fiocco, 2019. "Strategic inventories under limited commitment," RAND Journal of Economics, RAND Corporation, vol. 50(3), pages 695-729, September.
    17. Chris Muris & Horst Raff & Nicolas Schmitt & Frank Stähler, 2023. "Inventory, Sourcing, and the Effects of Trade Costs: Theory and Empirical Evidence," CESifo Working Paper Series 10253, CESifo.
    18. Alessandro Gavazza, 2016. "An Empirical Equilibrium Model of a Decentralized Asset Market," Econometrica, Econometric Society, vol. 84, pages 1755-1798, September.
    19. ARATA Yoshiyuki, 2015. "Endogenous Business Cycles Caused by Nonconvex Costs and Interactions," Discussion papers 15085, Research Institute of Economy, Trade and Industry (RIETI).
    20. Hall, George & Rust, John, 2021. "Estimation of endogenously sampled time series: The case of commodity price speculation in the steel market," Journal of Econometrics, Elsevier, vol. 222(1), pages 219-243.
    21. Ayelet Israeli & Fiona Scott-Morton & Jorge Silva-Risso & Florian Zettelmeyer, 2022. "How Market Power Affects Dynamic Pricing: Evidence from Inventory Fluctuations at Car Dealerships," Management Science, INFORMS, vol. 68(2), pages 895-916, February.
    22. Robert L. Bray & Haim Mendelson, 2015. "Production Smoothing and the Bullwhip Effect," Manufacturing & Service Operations Management, INFORMS, vol. 17(2), pages 208-220, May.
    23. Yoshiyuki Arata, 2017. "Endogenous business cycles caused by nonconvex costs and interactions," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 12(2), pages 367-391, July.
    24. Ortner, Juan, 2017. "Durable goods monopoly with stochastic costs," Theoretical Economics, Econometric Society, vol. 12(2), May.
    25. Sargent, Thomas J., 2024. "Critique and consequence," Journal of Monetary Economics, Elsevier, vol. 141(C), pages 2-13.

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    • H5 - Public Economics - - National Government Expenditures and Related Policies

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