IDEAS home Printed from https://ideas.repec.org/a/eee/finana/v93y2024ics1057521924001443.html
   My bibliography  Save this article

A pricing model system for small and micro loan insurance considering limited claims

Author

Listed:
  • Hu, Bin
  • Hu, Yan-Ping

Abstract

Based on various limited claim modes and the idea of option pricing, we build a pricing model system for small and micro loan insurance that conforms to the actuarial principle. It is found that different limited claim modes endow loan insurance contracts with various option attributes, which can be used to price small and micro loan insurance. Moreover, under the conditions of setting the upper and lower limits of claims separately or simultaneously, the pricing laws of loan insurance determined by such factors as insurance period may differ. Compared with the mode of relative deductible, the adoption of the mode of absolute deductible as the lower limit of a claim is more conducive to reducing the price of small and micro loan insurance. Our study provides a set of feasible theoretical solution for small and micro loan insurance pricing from a new perspective of limited claims.

Suggested Citation

  • Hu, Bin & Hu, Yan-Ping, 2024. "A pricing model system for small and micro loan insurance considering limited claims," International Review of Financial Analysis, Elsevier, vol. 93(C).
  • Handle: RePEc:eee:finana:v:93:y:2024:i:c:s1057521924001443
    DOI: 10.1016/j.irfa.2024.103212
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1057521924001443
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.irfa.2024.103212?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. Hatch, L. Upton & Musser, Wesley N., 1980. "Some Evidence on the Relationship Between Loan Insurance and the Supply of Agricultural Credit From Commercial Banks," Journal of Agricultural and Applied Economics, Cambridge University Press, vol. 12(2), pages 25-29, December.
    2. Gerber, Hans U. & Shiu, Elias S. W., 1996. "Actuarial bridges to dynamic hedging and option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 18(3), pages 183-218, November.
    3. Bryce, Cormac & Webb, Rob & Cheevers, Carly & Ring, P. & Clark, G., 2016. "Should the insurance industry be banking on risk escalation for solvency II?," International Review of Financial Analysis, Elsevier, vol. 46(C), pages 131-139.
    4. Harrison, Richard & Li, Youwei & Vigne, Samuel A. & Wu, Yuliang, 2022. "Why do small businesses have difficulty in accessing bank financing?," International Review of Financial Analysis, Elsevier, vol. 84(C).
    5. Joshua D. Woodard & Jing Yi, 2020. "Estimation of Insurance Deductible Demand Under Endogenous Premium Rates," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 87(2), pages 477-500, June.
    6. Daniela Laas & Caroline Franziska Siegel, 2017. "Basel III Versus Solvency II: An Analysis of Regulatory Consistency Under the New Capital Standards," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 84(4), pages 1231-1267, December.
    7. Jian Liu & Lizhao Yan & Chaoqun Ma, 2013. "Pricing Options and Convertible Bonds Based on an Actuarial Approach," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-9, December.
    8. Panhong Cheng & Zhihong Xu & Zexing Dai, 2023. "Valuation of vulnerable options with stochastic corporate liabilities in a mixed fractional Brownian motion environment," Mathematics and Financial Economics, Springer, volume 17, number 3, February.
    9. Toni Ahnert & Martin Kuncl, 2019. "Loan Insurance, Market Liquidity, and Lending Standards," Staff Working Papers 19-47, Bank of Canada.
    10. Doherty, Neil A & Garven, James R, 1986. "Price Regulation in Property-Liability Insurance: A Contingent-Claims Approach," Journal of Finance, American Finance Association, vol. 41(5), pages 1031-1050, December.
    11. Merton, Robert C., 1977. "An analytic derivation of the cost of deposit insurance and loan guarantees An application of modern option pricing theory," Journal of Banking & Finance, Elsevier, vol. 1(1), pages 3-11, June.
    12. Lai, Van Son & Soumaré, Issouf, 2010. "Credit insurance and investment: A contingent claims analysis approach," International Review of Financial Analysis, Elsevier, vol. 19(2), pages 98-107, March.
    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. Sebastian T. Schich, 1997. "An Option-Pricing Approach to the Costs of Export Credit Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 22(1), pages 43-58, June.
    15. Ronn, Ehud I & Verma, Avinash K, 1986. "Pricing Risk-Adjusted Deposit Insurance: An Option-Based Model," Journal of Finance, American Finance Association, vol. 41(4), pages 871-895, September.
    16. Jin‐Chuan Duan, 1994. "Maximum Likelihood Estimation Using Price Data Of The Derivative Contract," Mathematical Finance, Wiley Blackwell, vol. 4(2), pages 155-167, April.
    17. Gill, Balbinder Singh, 2023. "Health uninsurance premium and mortgage interest rates," International Review of Financial Analysis, Elsevier, vol. 87(C).
    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. 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.
    2. Lehar, Alfred, 2005. "Measuring systemic risk: A risk management approach," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2577-2603, October.
    3. Necula, Ciprian & Radu, Alina-Nicoleta, 2012. "Quantifying the recapitalization fund premium using option pricing techniques," Economics Letters, Elsevier, vol. 114(3), pages 249-251.
    4. Jobst, Andreas A., 2014. "Measuring systemic risk-adjusted liquidity (SRL)—A model approach," Journal of Banking & Finance, Elsevier, vol. 45(C), pages 270-287.
    5. Laeven, Luc, 2000. "Banking risks around the world - the implicit safety net subsidy approach," Policy Research Working Paper Series 2473, The World Bank.
    6. Gueyie, Jean-Pierre & Lai, Van Son, 2003. "Bank moral hazard and the introduction of official deposit insurance in Canada," International Review of Economics & Finance, Elsevier, vol. 12(2), pages 247-273.
    7. Heller, Yuval & Peleg Lazar, Sharon & Raviv, Alon, 2022. "Banks’ risk taking and creditors’ bargaining power," Journal of Corporate Finance, Elsevier, vol. 74(C).
    8. Stefan Nagel & Amiyatosh Purnanandam, 2020. "Banks’ Risk Dynamics and Distance to Default," The Review of Financial Studies, Society for Financial Studies, vol. 33(6), pages 2421-2467.
    9. Brana, Sophie & Campmas, Alexandra & Lapteacru, Ion, 2019. "(Un)Conventional monetary policy and bank risk-taking: A nonlinear relationship," Economic Modelling, Elsevier, vol. 81(C), pages 576-593.
    10. Zhang, Jinqing & He, Liang & An, Yunbi, 2020. "Measuring banks’ liquidity risk: An option-pricing approach," Journal of Banking & Finance, Elsevier, vol. 111(C).
    11. Dale F. Gray & Carlos J. García & Leonardo Luna & Jorge E. Restrepo, 2011. "Incorporating Financial Sector Risk Into Monetary Policy Models: Application to Chile," Central Banking, Analysis, and Economic Policies Book Series, in: Rodrigo Alfaro (ed.),Financial Stability, Monetary Policy, and Central Banking, edition 1, volume 15, chapter 6, pages 159-197, Central Bank of Chile.
    12. Guizani, Brahim & Watanabe, Wako, 2016. "The effects of public capital infusions on banks’ risk-shifting to the deposit insurance system in Japan," Journal of Financial Stability, Elsevier, vol. 26(C), pages 15-30.
    13. Bougias, Alexandros & Episcopos, Athanasios & Leledakis, George N., 2022. "The role of asset payouts in the estimation of default barriers," International Review of Financial Analysis, Elsevier, vol. 81(C).
    14. Hwei-Lin Chuang & Shih-Cheng Lee & Yi-Chun Lin & Min-Teh Yu, 2009. "Estimating the cost of deposit insurance with stochastic interest rates: the case of Taiwan," Quantitative Finance, Taylor & Francis Journals, vol. 9(1), pages 1-8.
    15. Fulop, Andras, 2006. "Feedback Effects of Rating Downgrades," ESSEC Working Papers DR 06016, ESSEC Research Center, ESSEC Business School.
    16. Lee, Shih-Cheng & Lin, Chien-Ting & Tsai, Ming-Shann, 2015. "The pricing of deposit insurance in the presence of systematic risk," Journal of Banking & Finance, Elsevier, vol. 51(C), pages 1-11.
    17. Whidbee, David A. & Wohar, Mark, 1999. "Derivative activities and managerial incentives in the banking industry," Journal of Corporate Finance, Elsevier, vol. 5(3), pages 251-276, September.
    18. Hangsuck Lee & Seongjoo Song & Gaeun Lee, 2023. "Insurance guaranty premiums and exchange options," Mathematics and Financial Economics, Springer, volume 17, number 3, February.
    19. Mbarek Lassaâd & Mezzez Hmaied Dorra, 2012. "Stock Market Assessment of Bank Risk: Evidence from the Maghreb Region," Review of Middle East Economics and Finance, De Gruyter, vol. 8(1), pages 1-26, August.
    20. Sharon Peleg†Lazar & Alon Raviv, 2017. "Bank Risk Dynamics Where Assets are Risky Debt Claims," European Financial Management, European Financial Management Association, vol. 23(1), pages 3-31, January.

    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:finana:v:93:y:2024:i:c:s1057521924001443. 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/inca/620166 .

    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.