IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v51y2005i4p566-580.html
   My bibliography  Save this article

Option Pricing with Downward-Sloping Demand Curves: The Case of Supply Chain Options

Author

Listed:
  • Apostolos Burnetas

    (Department of Mathematics, University of Athens, Athens 15784, Greece)

  • Peter Ritchken

    (Department of Banking and Finance, Weatherhead School of Management, Case Western Reserve University, 10900 Euclid Avenue, Cleveland, Ohio 44106)

Abstract

This article investigates the role of option contracts in a supply chain when the demand curve is downward sloping. We consider call (put) options that provide the retailer with the right to reorder (return) goods at a fixed price. We show that the introduction of option contracts causes the wholesale price to increase and the volatility of the retail price to decrease. In general, options are not zero-sum games. Conditions are derived under which the manufacturer prefers to use options. When this happens the retailer is also better off, if the uncertainty in the demand curve is low. However, if the uncertainty is sufficiently high, then the introduction of option contracts alters the equilibrium prices in a way that hurts the retailer.

Suggested Citation

  • Apostolos Burnetas & Peter Ritchken, 2005. "Option Pricing with Downward-Sloping Demand Curves: The Case of Supply Chain Options," Management Science, INFORMS, vol. 51(4), pages 566-580, April.
  • Handle: RePEc:inm:ormnsc:v:51:y:2005:i:4:p:566-580
    DOI: 10.1287/mnsc.1040.0342
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.1040.0342
    Download Restriction: no

    File URL: https://libkey.io/10.1287/mnsc.1040.0342?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. Detemple, Jerome B & Selden, Larry, 1991. "A General Equilibrium Analysis of Option and Stock Market Interactions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 32(2), pages 279-303, May.
    3. Serel, Dogan A. & Dada, Maqbool & Moskowitz, Herbert, 2001. "Sourcing decisions with capacity reservation contracts," European Journal of Operational Research, Elsevier, vol. 131(3), pages 635-648, June.
    4. Grossman, Sanford J, 1988. "An Analysis of the Implications for Stock and Futures Price Volatility of Program Trading and Dynamic Hedging Strategies," The Journal of Business, University of Chicago Press, vol. 61(3), pages 275-298, July.
    5. Paul R. Kleindorfer & D. J. Wu, 2003. "Integrating Long- and Short-Term Contracting via Business-to-Business Exchanges for Capital-Intensive Industries," Management Science, INFORMS, vol. 49(11), pages 1597-1615, November.
    6. Terry A. Taylor, 2001. "Channel Coordination Under Price Protection, Midlife Returns, and End-of-Life Returns in Dynamic Markets," Management Science, INFORMS, vol. 47(9), pages 1220-1234, September.
    7. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    8. Gary D. Eppen & Ananth. V. Iyer, 1997. "Backup Agreements in Fashion Buying---The Value of Upstream Flexibility," Management Science, INFORMS, vol. 43(11), pages 1469-1484, November.
    9. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    10. He, Hua & Pindyck, Robert S., 1992. "Investments in flexible production capacity," Journal of Economic Dynamics and Control, Elsevier, vol. 16(3-4), pages 575-599.
    11. Gérard P. Cachon, 2004. "The Allocation of Inventory Risk in a Supply Chain: Push, Pull, and Advance-Purchase Discount Contracts," Management Science, INFORMS, vol. 50(2), pages 222-238, February.
    12. Barry Alan Pasternack, 1985. "Optimal Pricing and Return Policies for Perishable Commodities," Marketing Science, INFORMS, vol. 4(2), pages 166-176.
    13. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    14. repec:bla:jfinan:v:44:y:1989:i:2:p:487-98 is not listed on IDEAS
    15. Bardia Kamrad & Akhtar Siddique, 2004. "Supply Contracts, Profit Sharing, Switching, and Reaction Options," Management Science, INFORMS, vol. 50(1), pages 64-82, January.
    16. Peter H. Ritchken & Charles S. Tapiero, 1986. "Contingent Claims Contracting for Purchasing Decisions in Inventory Management," Operations Research, INFORMS, vol. 34(6), pages 864-870, December.
    17. Damodaran, Aswath & Lim, Joseph, 1991. "The effects of option listing on the underlying stocks' return processes," Journal of Banking & Finance, Elsevier, vol. 15(3), pages 647-664, June.
    18. Ananth. V. Iyer & Mark E. Bergen, 1997. "Quick Response in Manufacturer-Retailer Channels," Management Science, INFORMS, vol. 43(4), pages 559-570, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Zhang, Dengfeng & de Matta, Renato & Lowe, Timothy J., 2010. "Channel coordination in a consignment contract," European Journal of Operational Research, Elsevier, vol. 207(2), pages 897-905, December.
    2. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    3. Julia Miyaoka & Warren H. Hausman, 2008. "How Improved Forecasts Can Degrade Decentralized Supply Chains," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 547-562, July.
    4. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    5. Shen, Houcai & Pang, Zhan & Cheng, T.C.E., 2011. "The component procurement problem for the loss-averse manufacturer with spot purchase," International Journal of Production Economics, Elsevier, vol. 132(1), pages 146-153, July.
    6. Seo, Kyowon & Go, Sarang & Kim, Byungdo, 2020. "Pricing strategies under markets with time gap between purchase and consumption," Journal of Business Research, Elsevier, vol. 120(C), pages 312-320.
    7. Paul R. Kleindorfer & D. J. Wu, 2003. "Integrating Long- and Short-Term Contracting via Business-to-Business Exchanges for Capital-Intensive Industries," Management Science, INFORMS, vol. 49(11), pages 1597-1615, November.
    8. repec:dau:papers:123456789/1046 is not listed on IDEAS
    9. Engle, Robert F, 1999. "Modeling the Impacts of Market Activity on Bid-Ask Spreads in the Option Market," University of California at San Diego, Economics Working Paper Series qt6rp7g17q, Department of Economics, UC San Diego.
    10. Zhao, Yingxue & Ma, Lijun & Xie, Gang & Cheng, T.C.E., 2013. "Coordination of supply chains with bidirectional option contracts," European Journal of Operational Research, Elsevier, vol. 229(2), pages 375-381.
    11. Roberta Pellegrino & Nicola Costantino & Danilo Tauro, 2020. "Advance Purchase Discounts for Supply Chain Finance System Coordination," Sustainability, MDPI, vol. 12(23), pages 1-20, December.
    12. Wolfgang Bühler & Alexander Kempf, 1998. "Optionsbewertung bei endogenem Preis des Basisinstruments: Der Fall der Glattstellungsoption," Schmalenbach Journal of Business Research, Springer, vol. 50(5), pages 411-435, May.
    13. Ozer, Ozalp & Uncu, Onur & Wei, Wei, 2007. "Selling to the "Newsvendor" with a forecast update: Analysis of a dual purchase contract," European Journal of Operational Research, Elsevier, vol. 182(3), pages 1150-1176, November.
    14. Bengtsson, Jens, 2001. "Manufacturing flexibility and real options: A review," International Journal of Production Economics, Elsevier, vol. 74(1-3), pages 213-224, December.
    15. Tang, Christopher S., 2006. "Perspectives in supply chain risk management," International Journal of Production Economics, Elsevier, vol. 103(2), pages 451-488, October.
    16. Jin, Mingzhou & David Wu, S., 2007. "Capacity reservation contracts for high-tech industry," European Journal of Operational Research, Elsevier, vol. 176(3), pages 1659-1677, February.
    17. Frank Youhua Chen & Candace Arai Yano, 2010. "Improving Supply Chain Performance and Managing Risk Under Weather-Related Demand Uncertainty," Management Science, INFORMS, vol. 56(8), pages 1380-1397, August.
    18. Shinhua Liu, 2010. "Equity Options and Underlying Stocks' Behavior: Further Evidence from Japan," International Review of Finance, International Review of Finance Ltd., vol. 10(3), pages 293-312, September.
    19. Mark E. Ferguson & Gregory A. DeCroix & Paul H. Zipkin, 2005. "Commitment decisions with partial information updating," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(8), pages 780-795, December.
    20. Miao, Jianjun & Wang, Neng, 2007. "Investment, consumption, and hedging under incomplete markets," Journal of Financial Economics, Elsevier, vol. 86(3), pages 608-642, December.
    21. Tsekrekos, Andrianos E. & Yannacopoulos, Athanasios N., 2016. "Optimal switching decisions under stochastic volatility with fast mean reversion," European Journal of Operational Research, Elsevier, vol. 251(1), pages 148-157.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:51:y:2005:i:4:p:566-580. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.