IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v193y2017icp294-305.html
   My bibliography  Save this article

A microcredit contract model with a Black Scholes model under default risk

Author

Listed:
  • Sim, Jaehun
  • Prabhu, Vittaldas

Abstract

Microfinance has emerged as a new promise for alleviating poverty and improving the limited access to financial services by offering small loans, with no pledged collateral requirement, to the poor. Due to the unique features of microfinance, the credit-relationship between the lender and the borrower is considered to be the foundation of the business. Based on the concept of supply chain microfinance, this paper develops scenario-based stochastic microcredit contract models for a group case. In order to obtain a minimum interest rate, a Black-Scholes debt model estimates volatility directly from market observable returns on a borrower's equity. Next, incorporating the minimum interest rate, the stochastic microcredit models are developed to calculate a proper interest rate, while maintaining the financial sustainability of a corporation. The stochastic microcredit models also include financial statement analysis through financial ratios to reflect the microfinance business environment. Through the comparison of the effect of cash flow bullwhip, this study illustrates that the proposed model has the potential to decrease the bullwhip effect. By determining a proper interest rate in microcredit, the proposed models could be used by microfinance institutions as an effective credit risk tool.

Suggested Citation

  • Sim, Jaehun & Prabhu, Vittaldas, 2017. "A microcredit contract model with a Black Scholes model under default risk," International Journal of Production Economics, Elsevier, vol. 193(C), pages 294-305.
  • Handle: RePEc:eee:proeco:v:193:y:2017:i:c:p:294-305
    DOI: 10.1016/j.ijpe.2017.06.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527317301640
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.ijpe.2017.06.004?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. Craig P. Aubuchon & Rajdeep Sengupta, 2008. "The microfinance revolution: an overview," Review, Federal Reserve Bank of St. Louis, vol. 90(Jan), pages 9-30.
    2. Jamal, A. M. M. & Sarker, Bhaba R. & Wang, Shaojun, 2000. "Optimal payment time for a retailer under permitted delay of payment by the wholesaler," International Journal of Production Economics, Elsevier, vol. 66(1), pages 59-66, June.
    3. Anonymous, 2014. "Introduction to the Issue," Journal of Wine Economics, Cambridge University Press, vol. 9(1), pages 1-2, May.
    4. Zhao, Lima & Huchzermeier, Arnd, 2015. "Operations–finance interface models: A literature review and framework," European Journal of Operational Research, Elsevier, vol. 244(3), pages 905-917.
    5. Tangsucheeva, Rattachut & Prabhu, Vittaldas, 2013. "Modeling and analysis of cash-flow bullwhip in supply chain," International Journal of Production Economics, Elsevier, vol. 145(1), pages 431-447.
    6. Conning, Jonathan & Udry, Christopher, 2007. "Rural Financial Markets in Developing Countries," Handbook of Agricultural Economics, in: Robert Evenson & Prabhu Pingali (ed.), Handbook of Agricultural Economics, edition 1, volume 3, chapter 56, pages 2857-2908, Elsevier.
    7. Ghatak, Maitreesh & Guinnane, Timothy W., 1999. "The economics of lending with joint liability: theory and practice," Journal of Development Economics, Elsevier, vol. 60(1), pages 195-228, October.
    8. Armendariz de Aghion, Beatriz, 1999. "On the design of a credit agreement with peer monitoring," Journal of Development Economics, Elsevier, vol. 60(1), pages 79-104, October.
    9. Ani L. Katchova & Mario J. Miranda & Claudio Gonzalez-Vega, 2006. "A dynamic model of individual and group lending in developing countries," Agricultural Finance Review, Emerald Group Publishing, vol. 66(2), pages 251-265, September.
    10. Charitou, Andreas & Dionysiou, Dionysia & Lambertides, Neophytos & Trigeorgis, Lenos, 2013. "Alternative bankruptcy prediction models using option-pricing theory," Journal of Banking & Finance, Elsevier, vol. 37(7), pages 2329-2341.
    11. Longinidis, Pantelis & Georgiadis, Michael C., 2011. "Integration of financial statement analysis in the optimal design of supply chain networks under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 129(2), pages 262-276, February.
    12. Murphy, Austin, 2000. "A comparative analysis of the price-process model of mortgage valuation," Review of Financial Economics, Elsevier, vol. 9(2), pages 65-82, December.
    13. Wuttke, David A. & Blome, Constantin & Sebastian Heese, H. & Protopappa-Sieke, Margarita, 2016. "Supply chain finance: Optimal introduction and adoption decisions," International Journal of Production Economics, Elsevier, vol. 178(C), pages 72-81.
    14. Kevin H. Shang & Jing-Sheng Song & Paul H. Zipkin, 2009. "Coordination Mechanisms in Decentralized Serial Inventory Systems with Batch Ordering," Management Science, INFORMS, vol. 55(4), pages 685-695, April.
    15. Anonymous, 2014. "Introduction to the Issue," Journal of Wine Economics, Cambridge University Press, vol. 9(2), pages 109-110, August.
    16. Protopappa-Sieke, Margarita & Seifert, Ralf W., 2010. "Interrelating operational and financial performance measurements in inventory control," European Journal of Operational Research, Elsevier, vol. 204(3), pages 439-448, August.
    17. Guangqiang Wei, 2014. "An Option Based Model of Rational Residential Mortgage Default," Business and Management Research, Business and Management Research, Sciedu Press, vol. 3(2), pages 28-30, June.
    18. Murphy, J. Austin, 1991. "An empirical test of an option pricing model of mortgage-backed securities pricing," Journal of Economics and Business, Elsevier, vol. 43(1), pages 37-47, February.
    19. Froot, Kenneth A & Scharfstein, David S & Stein, Jeremy C, 1993. "Risk Management: Coordinating Corporate Investment and Financing Policies," Journal of Finance, American Finance Association, vol. 48(5), pages 1629-1658, December.
    20. Xiangfeng Chen & Anyu Wang, 2012. "Trade credit contract with limited liability in the supply chain with budget constraints," Annals of Operations Research, Springer, vol. 196(1), pages 153-165, July.
    21. Yan, Nina & Sun, Baowen & Zhang, Hui & Liu, Chongqing, 2016. "A partial credit guarantee contract in a capital-constrained supply chain: Financing equilibrium and coordinating strategy," International Journal of Production Economics, Elsevier, vol. 173(C), pages 122-133.
    22. Pfohl, H.-Chr. & Hofmann, E. & Elbert, R., 2003. "Financial Supply Chain Management: Neue Herausforderungen für die Finanz- und Logistikwelt," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 57397, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    23. ManMohan S. Sodhi & Christopher S. Tang, 2014. "Supply-Chain Research Opportunities with the Poor as Suppliers or Distributors in Developing Countries," Production and Operations Management, Production and Operations Management Society, vol. 23(9), pages 1483-1494, September.
    24. 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.
    25. John A. Buzacott & Rachel Q. Zhang, 2004. "Inventory Management with Asset-Based Financing," Management Science, INFORMS, vol. 50(9), pages 1274-1292, September.
    26. Gupta, Sushil & Dutta, Kaushik, 2011. "Modeling of financial supply chain," European Journal of Operational Research, Elsevier, vol. 211(1), pages 47-56, May.
    27. Srinivasa Raghavan, N.R. & Mishra, Vinit Kumar, 2011. "Short-term financing in a cash-constrained supply chain," International Journal of Production Economics, Elsevier, vol. 134(2), pages 407-412, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anh Huu Nguyen & Thinh Gia Hoang & Vu Minh Ngo & Loan Quynh Thi Nguyen & Huan Huu Nguyen, 2023. "Sustainability-oriented supply chain finance in Vietnam: insights from multiple case studies," Operations Management Research, Springer, vol. 16(1), pages 259-279, March.
    2. Xiaoli Guo & Weili Xia & Taiwen Feng & Hongyan Sheng, 2022. "Sustainable supply chain finance adoption and firm performance: Is green supply chain integration a missing link?," Sustainable Development, John Wiley & Sons, Ltd., vol. 30(5), pages 1135-1154, October.
    3. Schleper, Martin C. & Blome, Constantin & Stevenson, Mark & Thürer, Matthias & Tusell, Iu, 2022. "When it’s the slaves that pay: In search of a fair due diligence cost distribution in conflict mineral supply chains," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 164(C).

    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. Xu, Xinhan & Chen, Xiangfeng & Jia, Fu & Brown, Steve & Gong, Yu & Xu, Yifan, 2018. "Supply chain finance: A systematic literature review and bibliometric analysis," International Journal of Production Economics, Elsevier, vol. 204(C), pages 160-173.
    2. Margarita Protopappa-Sieke & Ralf W. Seifert, 2017. "Benefits of working capital sharing in supply chains," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(5), pages 521-532, May.
    3. Wang, Mengyue & Huang, Hongxuan, 2019. "The design of a flexible capital-constrained global supply chain by integrating operational and financial strategies," Omega, Elsevier, vol. 88(C), pages 40-62.
    4. Jiao Wang & Lima Zhao & Arnd Huchzermeier, 2021. "Operations‐Finance Interface in Risk Management: Research Evolution and Opportunities," Production and Operations Management, Production and Operations Management Society, vol. 30(2), pages 355-389, February.
    5. Kajjoune, Oussama & Aouam, Tarik & Zouadi, Tarik & Ranjan, Ravi Prakash, 2023. "Dynamic lot-sizing in a two-stage supply chain with liquidity constraints and financing options," International Journal of Production Economics, Elsevier, vol. 258(C).
    6. Wuttke, David A. & Blome, Constantin & Sebastian Heese, H. & Protopappa-Sieke, Margarita, 2016. "Supply chain finance: Optimal introduction and adoption decisions," International Journal of Production Economics, Elsevier, vol. 178(C), pages 72-81.
    7. Wang, Chengfu & Fan, Xiaojun & Yin, Zhe, 2019. "Financing online retailers: Bank vs. electronic business platform, equilibrium, and coordinating strategy," European Journal of Operational Research, Elsevier, vol. 276(1), pages 343-356.
    8. Shi, Jinzhao & Guo, Ju'e & Du, Qiang & Lin, Feng & Lai, Kin Keung & Cheng, T.C.E., 2020. "Optimal financing mode selection for a capital-constrained retailer under an implicit bankruptcy cost," International Journal of Production Economics, Elsevier, vol. 228(C).
    9. Huang, Jing & Yang, Wensheng & Tu, Yiliu, 2020. "Financing mode decision in a supply chain with financial constraint," International Journal of Production Economics, Elsevier, vol. 220(C).
    10. Chakuu, Sumeer & Masi, Donato & Godsell, Janet, 2019. "Exploring the relationship between mechanisms, actors and instruments in supply chain finance: A systematic literature review," International Journal of Production Economics, Elsevier, vol. 216(C), pages 35-53.
    11. Wuttke, David A. & Blome, Constantin & Henke, Michael, 2013. "Focusing the financial flow of supply chains: An empirical investigation of financial supply chain management," International Journal of Production Economics, Elsevier, vol. 145(2), pages 773-789.
    12. Jena, Sarat Kumar & Padhi, Sidhartha S & Cheng, T.C.E., 2023. "Optimal selection of supply chain financing programmes for a financially distressed manufacturer," European Journal of Operational Research, Elsevier, vol. 306(1), pages 457-477.
    13. Zhao, Lima & Huchzermeier, Arnd, 2015. "Operations–finance interface models: A literature review and framework," European Journal of Operational Research, Elsevier, vol. 244(3), pages 905-917.
    14. Mojtaba Azizian & Mohammad Mehdi Sepehri & Seyed Mohammad Javad Mirzapour Al-e-Hashem, 2023. "Simulation-Based Models of Multi-Tier Financial Supply Chain Management Problem: Application in the Pharmacy Sector," Mathematics, MDPI, vol. 11(19), pages 1-26, October.
    15. Ni, Jian & Chu, Lap Keung & Li, Qiang, 2017. "Capacity decisions with debt financing: The effects of agency problem," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1158-1169.
    16. Yan, Nina & Sun, Baowen & Zhang, Hui & Liu, Chongqing, 2016. "A partial credit guarantee contract in a capital-constrained supply chain: Financing equilibrium and coordinating strategy," International Journal of Production Economics, Elsevier, vol. 173(C), pages 122-133.
    17. Tseng, Ming-Lang & Lim, Ming K. & Wu, Kuo-Jui, 2019. "Improving the benefits and costs on sustainable supply chain finance under uncertainty," International Journal of Production Economics, Elsevier, vol. 218(C), pages 308-321.
    18. Jin, Wei & Zhang, Qinhong & Luo, Jianwen, 2019. "Non-collaborative and collaborative financing in a bilateral supply chain with capital constraints," Omega, Elsevier, vol. 88(C), pages 210-222.
    19. Seifert, Daniel & Seifert, Ralf W. & Protopappa-Sieke, Margarita, 2013. "A review of trade credit literature: Opportunities for research in operations," European Journal of Operational Research, Elsevier, vol. 231(2), pages 245-256.
    20. 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.

    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:193:y:2017:i:c:p:294-305. 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.