IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v261y2023ics0925527323001172.html
   My bibliography  Save this article

Price timing and financing strategies for a capital-constrained supply chain with price-dependent stochastic demand

Author

Listed:
  • Yang, Yang
  • Liu, Jie

Abstract

We investigate the pricing timing strategy in the context of trade credit (TC), under which the capital-constrained retailer applies for deferred payments from its supplier. Based on the wholesale price offered by the supplier, the retailer determines the order volume before observing the random demand and the selling price after observing it (a.k.a., price postponement). We formulate the Stackelberg game to show how their equilibrium decisions and profits are affected by: the pricing timing, financing mode, the demand structure. In a multiplicative demand framework, the analytical and numerical results indicate that TC alleviates double marginalization problem, depending on price timing and demand structure. With the traditional bank finance (BF) as a benchmark, the supplier is reluctant to provide TC to the retailer without postponement when the market is extremely sensitive to price. Postponement not only benefits both members, but also enhances retailer’s repayment ability and thus participants’ preference for TC. They can reach an agreement on utilizing price postponement and trade credit as long as the supplier choose a suboptimal wholesale decision for deferred payment that is slightly lower the optimal one. We further extend our results to consider the additive demand structure.

Suggested Citation

  • Yang, Yang & Liu, Jie, 2023. "Price timing and financing strategies for a capital-constrained supply chain with price-dependent stochastic demand," International Journal of Production Economics, Elsevier, vol. 261(C).
  • Handle: RePEc:eee:proeco:v:261:y:2023:i:c:s0925527323001172
    DOI: 10.1016/j.ijpe.2023.108885
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527323001172
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2023.108885?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Yuxiang Cheng & Desheng Dash Wu & David L. Olson & Alexandre Dolgui, 2021. "Financing the newsvendor with preferential credit: bank vs. manufacturer," International Journal of Production Research, Taylor & Francis Journals, vol. 59(14), pages 4228-4247, July.
    2. Vincent Hovelaque & Jean-Laurent Viviani & Mohamed Ait Mansour, 2022. "Trade and bank credit in a non-cooperative chain with a price-sensitive demand," International Journal of Production Research, Taylor & Francis Journals, vol. 60(5), pages 1553-1568, March.
    3. Li, Bo & An, Si-min & Song, Dong-ping, 2018. "Selection of financing strategies with a risk-averse supplier in a capital-constrained supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 118(C), pages 163-183.
    4. Yuyue Song & Saibal Ray & Shanling Li, 2008. "Structural Properties of Buyback Contracts for Price-Setting Newsvendors," Manufacturing & Service Operations Management, INFORMS, vol. 10(1), pages 1-18, November.
    5. Xiang Fang & Jun Ru & Yunzeng Wang, 2021. "The Effect of List Price on Channel Performance with Consignment," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 235-252, January.
    6. George E. Monahan & Nicholas C. Petruzzi & Wen Zhao, 2004. "The Dynamic Pricing Problem from a Newsvendor's Perspective," Manufacturing & Service Operations Management, INFORMS, vol. 6(1), pages 73-91, September.
    7. Fernando Bernstein & Awi Federgruen, 2005. "Decentralized Supply Chains with Competing Retailers Under Demand Uncertainty," Management Science, INFORMS, vol. 51(1), pages 18-29, January.
    8. Frederic Boissay & Nikhil Patel & Hyun Song Shin, 2020. "Trade credit, trade finance, and the Covid-19 Crisis," BIS Bulletins 24, Bank for International Settlements.
    9. Shuya Yin, 2010. "Alliance Formation Among Perfectly Complementary Suppliers in a Price-Sensitive Assembly System," Manufacturing & Service Operations Management, INFORMS, vol. 12(3), pages 527-544, October.
    10. Fernando Bernstein & Awi Federgruen, 2004. "A General Equilibrium Model for Industries with Price and Service Competition," Operations Research, INFORMS, vol. 52(6), pages 868-886, December.
    11. Daniel Granot & Shuya Yin, 2008. "Price and Order Postponement in a Decentralized Newsvendor Model with Multiplicative and Price-Dependent Demand," Operations Research, INFORMS, vol. 56(1), pages 121-139, February.
    12. Xiangfeng Chen & Qihui Lu & Gangshu (George) Cai, 2020. "Buyer Financing in Pull Supply Chains: Zero‐Interest Early Payment or In‐House Factoring?," Production and Operations Management, Production and Operations Management Society, vol. 29(10), pages 2307-2325, October.
    13. Yan, Nina & He, Xiuli & Liu, Ye, 2019. "Financing the capital-constrained supply chain with loss aversion: Supplier finance vs. supplier investment," Omega, Elsevier, vol. 88(C), pages 162-178.
    14. Wen Ding & Huihui Song, 2020. "Financing the price-setting newsvendor with sales effort," Journal of Management Analytics, Taylor & Francis Journals, vol. 7(4), pages 564-590, October.
    15. Hua, Shengya & Liu, Jingchen & Cheng, T.C.E. & Zhai, Xin, 2019. "Financing and ordering strategies for a supply chain under the option contract," International Journal of Production Economics, Elsevier, vol. 208(C), pages 100-121.
    16. Martin A. Lariviere & Evan L. Porteus, 2001. "Selling to the Newsvendor: An Analysis of Price-Only Contracts," Manufacturing & Service Operations Management, INFORMS, vol. 3(4), pages 293-305, May.
    17. B. C. Giri & J. K. Majhi & S. Bardhan & K. S. Chaudhuri, 2021. "Coordinating a three-level supply chain with effort and price dependent stochastic demand under random yield," Annals of Operations Research, Springer, vol. 307(1), pages 175-206, December.
    18. S. Alex Yang & Nitin Bakshi & Christopher J. Chen, 2021. "Trade Credit Insurance: Operational Value and Contract Choice," Management Science, INFORMS, vol. 67(2), pages 875-891, February.
    19. S. Alex Yang & John R. Birge, 2018. "Trade Credit, Risk Sharing, and Inventory Financing Portfolios," Management Science, INFORMS, vol. 64(8), pages 3667-3689, August.
    20. Yan, Nina & Zhang, Yaping & Xu, Xun & Gao, Yongling, 2021. "Online finance with dual channels and bidirectional free-riding effect," International Journal of Production Economics, Elsevier, vol. 231(C).
    21. 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.
    22. Jan A. Van Mieghem & Maqbool Dada, 1999. "Price Versus Production Postponement: Capacity and Competition," Management Science, INFORMS, vol. 45(12), pages 1639-1649, December.
    23. Christopher S. Tang & S. Alex Yang & Jing Wu, 2018. "Sourcing from Suppliers with Financial Constraints and Performance Risk," Manufacturing & Service Operations Management, INFORMS, vol. 20(1), pages 70-84, February.
    24. Panos Kouvelis & Wenhui Zhao, 2018. "Who Should Finance the Supply Chain? Impact of Credit Ratings on Supply Chain Decisions," Manufacturing & Service Operations Management, INFORMS, vol. 20(1), pages 19-35, February.
    25. Deng, Sijing & Fu, Ke & Xu, Jiayan & Zhu, Kaijie, 2021. "The supply chain effects of trade credit under uncertain demands," Omega, Elsevier, vol. 98(C).
    26. Gal Raz & Evan L. Porteus, 2006. "A Fractiles Perspective to the Joint Price/Quantity Newsvendor Model," Management Science, INFORMS, vol. 52(11), pages 1764-1777, November.
    27. Jiang, Li, 2012. "The implications of postponement on contract design and channel performance," European Journal of Operational Research, Elsevier, vol. 216(2), pages 356-366.
    28. Saibal Ray & Shanling Li & Yuyue Song, 2005. "Tailored Supply Chain Decision Making Under Price-Sensitive Stochastic Demand and Delivery Uncertainty," Management Science, INFORMS, vol. 51(12), pages 1873-1891, December.
    29. Yang, Honglin & Zhuo, Wenyan & Shao, Lusheng & Talluri, Srinivas, 2021. "Mean-variance analysis of wholesale price contracts with a capital-constrained retailer: Trade credit financing vs. bank credit financing," European Journal of Operational Research, Elsevier, vol. 294(2), pages 525-542.
    30. Tulika Chakraborty & Satyaveer S. Chauhan & Mustapha Ouhimmou, 2020. "Mitigating supply disruption with a backup supplier under uncertain demand: competition vs. cooperation," International Journal of Production Research, Taylor & Francis Journals, vol. 58(12), pages 3618-3649, June.
    31. Lo Nigro, Giovanna & Favara, Giovanni & Abbate, Lorenzo, 2021. "Supply chain finance: The role of credit rating and retailer effort on optimal contracts," International Journal of Production Economics, Elsevier, vol. 240(C).
    32. Jiri Chod, 2017. "Inventory, Risk Shifting, and Trade Credit," Management Science, INFORMS, vol. 63(10), pages 3207-3225, October.
    33. Simon GB Cowan & Simon Cowan, 2004. "Demand shifts and imperfect competition," Economics Series Working Papers 188, University of Oxford, Department of Economics.
    34. Li Jiang & Yunzeng Wang, 2010. "Supplier Competition in Decentralized Assembly Systems with Price-Sensitive and Uncertain Demand," Manufacturing & Service Operations Management, INFORMS, vol. 12(1), pages 93-101, January.
    35. T. M. Whitin, 1955. "Inventory Control and Price Theory," Management Science, INFORMS, vol. 2(1), pages 61-68, October.
    36. Weihua Zhou & Tiantian Lin & Gangshu (George) Cai, 2020. "Guarantor Financing in a Four‐Party Supply Chain Game with Leadership Influence," Production and Operations Management, Production and Operations Management Society, vol. 29(9), pages 2035-2056, September.
    37. Ayşe Kocabıyıkoğlu & Ioana Popescu, 2011. "An Elasticity Approach to the Newsvendor with Price-Sensitive Demand," Operations Research, INFORMS, vol. 59(2), pages 301-312, April.
    38. Xuan Zhao & Derek R. Atkins, 2008. "Newsvendors Under Simultaneous Price and Inventory Competition," Manufacturing & Service Operations Management, INFORMS, vol. 10(3), pages 539-546, September.
    39. Zhen, Xueping & Shi, Dan & Li, Yongjian & Zhang, Chu, 2020. "Manufacturer’s financing strategy in a dual-channel supply chain: Third-party platform, bank, and retailer credit financing," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 133(C).
    40. Jiang, Wen-Hui & Xu, Ling & Chen, Zhen-Song & Govindan, Kannan & Chin, Kwai-Sang, 2022. "Financing equilibrium in a capital constrained supply Chain: The impact of credit rating," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    41. Fehmi Tanrisever & Nitin Joglekar & Sinan Erzurumlu & Moren Lévesque, 2021. "Managing Capital Market Frictions via Cost-Reduction Investments," Manufacturing & Service Operations Management, INFORMS, vol. 23(1), pages 88-105, 1-2.
    42. Wang, Fan & Yang, Xiao & Zhuo, Xiaopo & Xiong, Minghua, 2019. "Joint logistics and financial services by a 3PL firm: Effects of risk preference and demand volatility," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 130(C), pages 312-328.
    43. Desheng Wu & Baofeng Zhang & Opher Baron, 2019. "A Trade Credit Model with Asymmetric Competing Retailers," Production and Operations Management, Production and Operations Management Society, vol. 28(1), pages 206-231, January.
    44. Panos Kouvelis & Wenhui Zhao, 2012. "Financing the Newsvendor: Supplier vs. Bank, and the Structure of Optimal Trade Credit Contracts," Operations Research, INFORMS, vol. 60(3), pages 566-580, June.
    45. He, Yuanjie, 2013. "Sequential price and quantity decisions under supply and demand risks," International Journal of Production Economics, Elsevier, vol. 141(2), pages 541-551.
    46. Wang, Feng & Diabat, Ali & Wu, Lunwen, 2021. "Supply chain coordination with competing suppliers under price-sensitive stochastic demand," International Journal of Production Economics, Elsevier, vol. 234(C).
    47. Panos Kouvelis & Wenhui Zhao, 2016. "Supply Chain Contract Design Under Financial Constraints and Bankruptcy Costs," Management Science, INFORMS, vol. 62(8), pages 2341-2357, August.
    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. Jiang, Wen-Hui & Xu, Ling & Chen, Zhen-Song & Govindan, Kannan & Chin, Kwai-Sang, 2022. "Financing equilibrium in a capital constrained supply Chain: The impact of credit rating," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 157(C).
    2. Yang, Yang & Liu, Jie & Hu, Taizhong, 2023. "Capital allocation and pricing decisions under trade credit with time-sensitive stochastic demand," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 173(C).
    3. Li, Yanhai & Gu, Chaocheng & Ou, Jinwen, 2020. "Supporting a financially constrained supplier under spectral risk measures: The efficiency of buyer lending," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 136(C).
    4. Ma, Cheng & Dai, Yuankang & Li, Zhongfei, 2022. "Financing format selection for electronic business platforms with a capital-constrained e-tailer," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 162(C).
    5. Liu, Jie & Yang, Yang & Yu, Yugang, 2021. "Ordering and interest rate strategies in platform finance with an overconfident and commerce retailer," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 153(C).
    6. Xie, Xiaofeng & Shi, Xinyu & Gu, Jing & Xu, Xun, 2023. "Examining the Contagion Effect of Credit Risk in a Supply Chain under Trade Credit and Bank Loan Offering," Omega, Elsevier, vol. 115(C).
    7. Li, Yanhai & Ou, Jinwen & Gu, Chaocheng, 2023. "Buyer guarantee and bailout in supplier finance with bankruptcy cost," European Journal of Operational Research, Elsevier, vol. 305(1), pages 287-299.
    8. Yang, Honglin & Zhuo, Wenyan & Shao, Lusheng & Talluri, Srinivas, 2021. "Mean-variance analysis of wholesale price contracts with a capital-constrained retailer: Trade credit financing vs. bank credit financing," European Journal of Operational Research, Elsevier, vol. 294(2), pages 525-542.
    9. Wang, Kai & Lin, Jun & Liu, Guoquan & Liu, Qi, 2022. "Strategic introduction of logistics retail and finance under competition and channel spillover," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 165(C).
    10. Wang, Chengfu & Chen, Xiangfeng & Xu, Xun & Jin, Wei, 2023. "Financing and operating strategies for blockchain technology-driven accounts receivable chains," European Journal of Operational Research, Elsevier, vol. 304(3), pages 1279-1295.
    11. Lang Xu & Yuqi Luo & Jia Shi & Lin Liu, 2022. "Credit financing and channel encroachment: analysis of distribution choice in a dual-channel supply chain," Operational Research, Springer, vol. 22(4), pages 3925-3944, September.
    12. Wang, Jing & Wang, Kai & Li, Xiang & Zhao, Ruiqing, 2022. "Suppliers’ trade credit strategies with transparent credit ratings: Null, exclusive, and nonchalant provision," European Journal of Operational Research, Elsevier, vol. 297(1), pages 153-163.
    13. Yuan, Xiaoyong & Bi, Gongbing & Fei, Yalei & Liu, Lindong, 2021. "Supply chain with random yield and financing," Omega, Elsevier, vol. 102(C).
    14. Xiang Fang & Jun Ru & Yunzeng Wang, 2021. "The Effect of List Price on Channel Performance with Consignment," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 235-252, January.
    15. Wang, Wei & Feng, Lipan & Li, Yongjian & Xu, Fangchao & Deng, Qianzhou, 2020. "Role of financial leasing in a capital-constrained service supply chain," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 143(C).
    16. Ayşe Kocabıyıkoğlu & Ioana Popescu, 2011. "An Elasticity Approach to the Newsvendor with Price-Sensitive Demand," Operations Research, INFORMS, vol. 59(2), pages 301-312, April.
    17. Zhu, Xiaoliang & Guo, Zixue & Yang, Guoqing, 2023. "Credit coguarantee loan buyback contracts: Equilibrium and coordination strategies," International Journal of Production Economics, Elsevier, vol. 262(C).
    18. Lai, Zhixuan & Lou, Gaoxiang & Ma, Haicheng & Chung, Sai-Ho & Wen, Xin & Fan, Tijun, 2022. "Optimal green supply chain financing strategy: Internal collaborative financing and external investments," International Journal of Production Economics, Elsevier, vol. 253(C).
    19. Fu, Ke & Wang, Ce & Xu, Jiayan, 2022. "The impact of trade credit on information sharing in a supply chain," Omega, Elsevier, vol. 110(C).
    20. Zelong Yi & Yulan Wang & Ying‐Ju Chen, 2021. "Financing an Agricultural Supply Chain with a Capital‐Constrained Smallholder Farmer in Developing Economies," Production and Operations Management, Production and Operations Management Society, vol. 30(7), pages 2102-2121, July.

    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:eee:proeco:v:261:y:2023:i:c:s0925527323001172. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    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.