IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v26y2018icp242-249.html
   My bibliography  Save this article

Deposit insurance pricing under GARCH

Author

Listed:
  • Liu, Hailong
  • Li, Rui
  • Yuan, Jinjian

Abstract

As homoscedasticity assumption of asset return is questionable, traditional deposit insurance pricing analysis based on the Black-Scholes model always performs poorly. This paper focuses on deposit insurance pricing under a GARCH framework. A closed-form pricing formula is derived, and an estimation method for the pricing model with market data is also presented. We apply the pricing model on a sample of 40 U.S. exchange-listed banks and the results reaffirm the importance of GARCH framework. The premium rate under the GARCH framework is always much lower than its Black-Scholes counterpart during high-risk periods.

Suggested Citation

  • Liu, Hailong & Li, Rui & Yuan, Jinjian, 2018. "Deposit insurance pricing under GARCH," Finance Research Letters, Elsevier, vol. 26(C), pages 242-249.
    • Handle: RePEc:eee:finlet:v:26:y:2018:i:c:p:242-249
    DOI: 10.1016/j.frl.2018.02.013
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612317304919
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.frl.2018.02.013?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. Christoffersen, Peter & Jacobs, Kris & Ornthanalai, Chayawat & Wang, Yintian, 2008. "Option valuation with long-run and short-run volatility components," Journal of Financial Economics, Elsevier, vol. 90(3), pages 272-297, December.
    2. Yaojie Zhang & Benshan Shi, 2017. "Systematic risk and deposit insurance pricing," China Finance Review International, Emerald Group Publishing Limited, vol. 7(4), pages 390-406, September.
    3. Duan, Jin-Chuan & Yu, Min-Teh, 1999. "Capital standard, forbearance and deposit insurance pricing under GARCH," Journal of Banking & Finance, Elsevier, vol. 23(11), pages 1691-1706, November.
    4. Merton, Robert C, 1978. "On the Cost of Deposit Insurance When There Are Surveillance Costs," The Journal of Business, University of Chicago Press, vol. 51(3), pages 439-452, July.
    5. Jin-Chuan, Duan & Moreau, Arthur F. & Sealey, C. W., 1995. "Deposit insurance and bank interest rate risk: Pricing and regulatory implications," Journal of Banking & Finance, Elsevier, vol. 19(6), pages 1091-1108, September.
    6. Heston, Steven L & Nandi, Saikat, 2000. "A Closed-Form GARCH Option Valuation Model," The Review of Financial Studies, Society for Financial Studies, vol. 13(3), pages 585-625.
    7. 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.
    8. Pennacchi, George G, 1987. "A Reexamination of the Over- (or Under-) Pricing of Deposit Insurance," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 19(3), pages 340-360, August.
    9. 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.
    10. Dermine, Jean & Lajeri, Fatma, 2001. "Credit risk and the deposit insurance premium: a note," Journal of Economics and Business, Elsevier, vol. 53(5), pages 497-508.
    11. Pennacchi, George G., 1987. "Alternative forms of deposit insurance : Pricing and bank incentive issues," Journal of Banking & Finance, Elsevier, vol. 11(2), pages 291-312, June.
    12. Cooperstein Richard L. & Pennacchi George G. & Redburn F. Stevens, 1995. "The Aggregate Cost of Deposit Insurance: A Multiperiod Analysis," Journal of Financial Intermediation, Elsevier, vol. 4(3), pages 242-271, July.
    13. Jin‐Chuan Duan, 1995. "The Garch Option Pricing Model," Mathematical Finance, Wiley Blackwell, vol. 5(1), pages 13-32, January.
    14. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    15. Pennacchi, George G., 2005. "Risk-based capital standards, deposit insurance, and procyclicality," Journal of Financial Intermediation, Elsevier, vol. 14(4), pages 432-465, October.
    16. Jacky So & Jason Z. Wei, 2004. "Deposit Insurance and Forbearance Under Moral Hazard," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 71(4), pages 707-735, December.
    17. Episcopos, Athanasios, 2004. "The implied reserves of the Bank Insurance Fund," Journal of Banking & Finance, Elsevier, vol. 28(7), pages 1617-1635, July.
    18. Hwang, Dar-Yeh & Shie, Fu-Shuen & Wang, Kehluh & Lin, Jung-Chu, 2009. "The pricing of deposit insurance considering bankruptcy costs and closure policies," Journal of Banking & Finance, Elsevier, vol. 33(10), pages 1909-1919, October.
    19. 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.
    20. 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.
    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. Chen, Yan & Zhang, Lei & Zhao, Yulu & Xu, Bing, 2022. "Implementation of penalized survival models in churn prediction of vehicle insurance," Journal of Business Research, Elsevier, vol. 153(C), pages 162-171.
    2. Mao, Hong & Cheng, Jiang, 2020. "Optimal capitalization and deposit insurance strategies with regard to moral hazard," Journal of Economics and Business, Elsevier, vol. 108(C).
    3. Curtis Nybo, 2021. "Sector Volatility Prediction Performance Using GARCH Models and Artificial Neural Networks," Papers 2110.09489, arXiv.org.
    4. Fernández-Aguado, Pilar Gómez & Martínez, Eduardo Trigo & Ruíz, Rafael Moreno & Ureña, Antonio Partal, 2022. "Evaluation of European Deposit Insurance Scheme funding based on risk analysis," International Review of Economics & Finance, Elsevier, vol. 78(C), pages 234-247.
    5. So, Jacky Yuk-Chow & Yao, Shuai & Wu, Sibin & Zhou, Rongji, 2024. "Independent institution or cooperative institution? China’s deposit insurance institution model and the Honey Badger Algorithm," The Quarterly Review of Economics and Finance, Elsevier, vol. 96(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. 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.
    2. Duan, Jin-Chuan & Yu, Min-Teh, 1999. "Capital standard, forbearance and deposit insurance pricing under GARCH," Journal of Banking & Finance, Elsevier, vol. 23(11), pages 1691-1706, November.
    3. Fernández-Aguado, Pilar Gómez & Martínez, Eduardo Trigo & Ruíz, Rafael Moreno & Ureña, Antonio Partal, 2022. "Evaluation of European Deposit Insurance Scheme funding based on risk analysis," International Review of Economics & Finance, Elsevier, vol. 78(C), pages 234-247.
    4. 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.
    5. 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.
    6. Duan, Jin-Chuan & Yu, Min-Teh, 2005. "Fair insurance guaranty premia in the presence of risk-based capital regulations, stochastic interest rate and catastrophe risk," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2435-2454, October.
    7. International Association of Deposit Insurers, 2020. "Evaluation of Differential Premium Systems for Deposit Insurance," IADI Research Papers 20-06, International Association of Deposit Insurers.
    8. Hangsuck Lee & Seongjoo Song & Gaeun Lee, 2023. "Insurance guaranty premiums and exchange options," Mathematics and Financial Economics, Springer, volume 17, number 3, December.
    9. Chiang, Shu Ling & Tsai, Ming Shann, 2020. "The valuation of deposit insurance allowing for the interest rate spread and early-bankruptcy risk," The Quarterly Review of Economics and Finance, Elsevier, vol. 76(C), pages 345-356.
    10. Michael Falkenheim & George Pennacchi, 2003. "The Cost of Deposit Insurance for Privately Held Banks: A Market Comparable Approach," Journal of Financial Services Research, Springer;Western Finance Association, vol. 24(2), pages 121-148, October.
    11. Laeven, Luc, 2002. "Pricing of deposit insurance," Policy Research Working Paper Series 2871, The World Bank.
    12. Duan, Jin-Chuan & Simonato, Jean-Guy, 2002. "Maximum likelihood estimation of deposit insurance value with interest rate risk," Journal of Empirical Finance, Elsevier, vol. 9(1), pages 109-132, January.
    13. Carbó-Valverde, Santiago & Kane, Edward J. & Rodriguez-Fernandez, Francisco, 2013. "Safety-net benefits conferred on difficult-to-fail-and-unwind banks in the US and EU before and during the great recession," Journal of Banking & Finance, Elsevier, vol. 37(6), pages 1845-1859.
    14. Pennacchi, George G., 2005. "Risk-based capital standards, deposit insurance, and procyclicality," Journal of Financial Intermediation, Elsevier, vol. 14(4), pages 432-465, October.
    15. Hwang, Dar-Yeh & Shie, Fu-Shuen & Wang, Kehluh & Lin, Jung-Chu, 2009. "The pricing of deposit insurance considering bankruptcy costs and closure policies," Journal of Banking & Finance, Elsevier, vol. 33(10), pages 1909-1919, October.
    16. Camara, Antonio & Davidson, Travis & Fodor, Andrew, 2020. "Bank asset structure and deposit insurance pricing," Journal of Banking & Finance, Elsevier, vol. 114(C).
    17. Chuang‐Chang Chang & San‐Lin Chung & Ruey‐Jenn Ho & Yu‐Jen Hsiao, 2022. "Revisiting the valuation of deposit insurance," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 42(1), pages 77-103, January.
    18. Raheel Mumtaz & Imran Abbas Jadoon, 2018. "Effect of explicit deposit insurance premium on the moral hazard of banks’ risk-taking: Around the globe," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 5(02), pages 1-24, June.
    19. Lehar, Alfred, 2005. "Measuring systemic risk: A risk management approach," Journal of Banking & Finance, Elsevier, vol. 29(10), pages 2577-2603, October.
    20. Ho, Chia-Ling & Lai, Gene C. & Lee, Jin-Ping, 2014. "Financial reform and the adequacy of deposit insurance fund: Lessons from Taiwanese experience," International Review of Economics & Finance, Elsevier, vol. 30(C), pages 57-77.

    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:finlet:v:26:y:2018:i:c:p:242-249. 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/frl .

    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.