When facing capital constraints, a retailer fails to procure or order optimally, which not only significantly influences his own profitability, but also harms the competitiveness of the upstream supplier. Therefore, as a core firm of a supply chain, the supplier generally has an incentive to offer trade credit to alleviate the retailer's capital constraints problem. As a financing tool, trade credit has received extensive attention in supply chain finance area. However, the majority of extant literature focuses on the optimal trade credit contract decision by assuming that the credit-offer (i.e., supplier) is risk-neutral and the credit-receiver (i.e., retailer) only uses trade credit to finance inventory. In fact, the supplier may limit the retailer's credit line for the reason of controlling the potential loss risk. As a result, the capital-constrained retailer may adopt other financing tools such as bank credit besides trade credit to satisfy his financing need.
Based on the practical background, two interesting questions arise, that is, how a risk-averse supplier designs a trade credit contract to alleviate the retailer' capital constraints and how the retailer's financing structure is influenced by the supplier's risk aversion. To answer the two questions, a two-echelon supply chain consisting of one risk-averse supplier and one capital-constrained retailer is considered. Based on the classical supply chain finance model, the financing decision model consisting of a supplier, a retailer and a bank is built. By adopting backward induction and non-linear optimization method, the retailer's optimal order decision is first solved and then the supplier's optimal trade credit contract design is analyzed. In addition, the bank's optimal interest rate can be determined on basis of competitively priced principle.
The results show that:when the supplier's risk aversion is lower than a critical threshold value, he prefers to offer full credit to the retailer, and as a result, the retailer's financing structure is trade credit; however, when the supplier's risk aversion is higher than the threshold value, he prefers to offer partial credit to the retailer, and consequently, the retailer's financing structure is the portfolio of bank credit and trade credit. To examine the theoretical results, the data used in the existing literature is further used to simulate the corresponding conclusions. Our research can enrich the existing supply chain finance literature, and can provide decision support for the supply chain core enterprise and the bank.
JIN Wei, LUO Jian-wen
. Optimal Credit Contract Design for a Capital-constrained Supply Chain Incorporating into Risk Aversion[J]. Chinese Journal of Management Science, 2018
, 26(1)
: 35
-46
.
DOI: 10.16381/j.cnki.issn1003-207x.2018.01.004
[1] Seifert D, Seifert R W, Protopappa-Sieke M. A review of trade credit literature:Opportunities for research in operations[J]. European Journal of Operational Research, 2013, 231(2):245-256.
[2] Thangam A. Optimal price discounting and lot-sizing policies for perishable items in a supplychain under advance payment scheme and two-echelon trade credits[J]. International Journal of Production Economics, 2012, 139(2):459-472.
[3] Zhang Qinhong, Dong Ming, Luo Jianwen, et al. Supply chain coordination with trade credit and quantity discount incorporating default risk[J]. International Journal of Production Economics, 2014, 153:352-360.
[4] Buzacott J A, Zhang R Q. Inventory management with asset-based financing[J].Management Science, 2004, 50(9):1274-1292.
[5] Xu Xiaodong, Birge J R. Joint production and financing decisions:Modeling and analysis[R].Chicago:University of Chicago, 2004.
[6] Dada M, Hu Qiaohai. Financing newsvendor inventory[J].Operations Research Letters, 2008, 36(5):569-573.
[7] Lai Guoming, Debo L G, Sycara K. Sharing inventory risk in supply chain:The implication of financial constraint[J]. Omega, 2009, 37:811-825.
[8] Kouvelis P, Zhao Wenhui. The Newsvendor Problem and Price-Only Contract When Bankruptcy Costs Exist[J]. Production and Operations Management, 2011, 20(6):921-936.
[9] 易雪辉, 周宗放. 基于供应链金融的银行贷款价值比研究[J]. 中国管理科学, 2012, 20(1):102-108.
[10] 王文利, 骆建文, 张钦红. 银行风险控制下的供应链订单融资策略研究[J]. 中国管理科学, 2013, 21(3):71-78.
[11] Schwartz R A. An economic model of trade credit[J]. Journal of Financial and Quantitativeanalysis, 1974, 9(4):643-657.
[12] Petersen M A, Rajan R G. Trade credit:Theories and evidence[J].Review of financial studies, 1997, 10(3):661-691.
[13] Burkart M, Ellingsen T. In-kind finance:A theory of trade credit[J]. American Economic Review, 2004, 94(3):569-590.
[14] Jamal A M M,Sarker B R,Wang shaojun.On optimal payment time for a retailer under permitted delay of payment by the wholesaler[J].International Journal of Production Economics, 2000, 66(1):59-66.
[15] 朱文贵, 朱道立, 徐最. 延迟支付方式下的存货质押融资服务定价模型[J]. 系统工程理论与实践, 2007, 27(12):1-7.
[16] Shi Xiaojun, Zhang Shuanming. An incentive-compatible solution for trade credit term incorporating default risk[J]. European Journal of Operational Research, 2010, 206(1):178-196.
[17] 陈祥锋. 资金约束供应链中贸易信用合同的决策与价值[J]. 管理科学学报, 2013, 16(12):13-20.
[18] Yang S A, Birge J R. How inventory is (should be) financed:Trade credit in supply chains with demand uncertainty and costs of financial distress[R]. Chicago:University of Chicago, 2013.
[19] 王文利, 骆建文. 交易信用与资金约束下两阶段零售商订货策略[J]. 系统工程理论与实践, 2014, 34(2):304-312.
[20] Kouvelis P, Zhao Wenhui. Financing the newsvendor:supplier vs. bank, and the structure of optimal trade credit contracts[J].Operations Research, 2012, 60(3):566-580.
[21] Jing Bing, Chen Xiangfeng, Cai Gangshu. Equilibrium financing in a distribution channel with capital constraint[J].Production and Operations Management, 2012, 21(6):1090-1101.
[22] Cai Gangshu, Chen Xiangfeng, Xiao Zhiguo. The roles of bank and trade credits:Theoretical analysis and empirical evidence[J].Production and Operations Management, 2014, 23(4):583-598.
[23] Chen Xiangfeng. A model of trade credit in a capital-constrained distribution channel[J]. International Journal of Production Economics, 2015, 159:347-357.
[24] Schweitzer M E, Cachon G P. Decision bias in the newsvendor problem with a known demand distribution:Experimental evidence[J].Management Science, 2000, 46(3):404-420.
[25] Wang C X, Webster S. Channel coordination for a supply chain with a risk-neutral manufacturer and a loss-averse retailer[J]. Decision Sciences, 2007, 38(3):361-389.
[26] Wang C X, Webster S. The loss-averse newsvendor problem[J].Omega, 2009, 37(1):93-105.
[27] 马利军, 葛羊亮, 薛巍立, 等. 不确定环境下损失规避零售商的提前支付决策[J]. 系统工程理论实践, 2015, 35(2):315-323.
[28] 王佳, 金秀, 苑莹, 等. 基于损失规避和模糊规避的分布鲁棒投资组合模型[J]. 系统工程理论与实践, 2016, 36(2):288-296.
[29] Lariviere M A, Porteus E L. Selling to the newsvendor:An analysis of price-only contracts[J]. Manufacturing & service operations management, 2001, 3(4):293-305.
[30] Caldentey R, Chen Xiangfeng.Handbook of integrated risk manfment in global supply Chain. The role of financial services in procurement contracts[M].Hoboken,New Jersey:John Wiley & Sons,2007.