IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v274y2019i3p1112-1124.html
   My bibliography  Save this article

A Bayesian approach to modeling mortgage default and prepayment

Author

Listed:
  • Bhattacharya, Arnab
  • Wilson, Simon P.
  • Soyer, Refik

Abstract

In this paper we present a Bayesian competing risk proportional hazards model to describe mortgage defaults and prepayments. We develop Bayesian inference for the model using Markov chain Monte Carlo methods. Implementation of the model is illustrated using actual default/prepayment data and additional insights that can be obtained from the Bayesian analysis are discussed.

Suggested Citation

  • Bhattacharya, Arnab & Wilson, Simon P. & Soyer, Refik, 2019. "A Bayesian approach to modeling mortgage default and prepayment," European Journal of Operational Research, Elsevier, vol. 274(3), pages 1112-1124.
    • Handle: RePEc:eee:ejores:v:274:y:2019:i:3:p:1112-1124
    DOI: 10.1016/j.ejor.2018.10.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377221718309159
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ejor.2018.10.047?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. Fitzpatrick, Trevor & Mues, Christophe, 2016. "An empirical comparison of classification algorithms for mortgage default prediction: evidence from a distressed mortgage market," European Journal of Operational Research, Elsevier, vol. 249(2), pages 427-439.
    2. S. Michael Giliberto & Arthur L. Houston, 1989. "Relocation Opportunities and Mortgage Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 17(1), pages 55-69, March.
    3. Brian A. Ciochetti & Yongheng Deng & Bin Gao & Rui Yao, 2002. "The Termination of Commercial Mortgage Contracts through Prepayment and Default: A Proportional Hazard Approach with Competing Risks," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(4), pages 595-633.
    4. Lee, Yongwoong & Rösch, Daniel & Scheule, Harald, 2016. "Accuracy of mortgage portfolio risk forecasts during financial crises," European Journal of Operational Research, Elsevier, vol. 249(2), pages 440-456.
    5. Lambrecht, Bart & Perraudin, William & Satchell, Stephen, 1997. "Time to default in the UK mortgage market," Economic Modelling, Elsevier, vol. 14(4), pages 485-499, October.
    6. Yongheng Deng & John M. Quigley & Robert Van Order, 2000. "Mortgage Terminations, Heterogeneity and the Exercise of Mortgage Options," Econometrica, Econometric Society, vol. 68(2), pages 275-308, March.
    7. Refik Soyer & Feng Xu, 2010. "Assessment of mortgage default risk via Bayesian reliability models," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(3), pages 308-330, May.
    8. Tong, Edward N.C. & Mues, Christophe & Thomas, Lyn C., 2012. "Mixture cure models in credit scoring: If and when borrowers default," European Journal of Operational Research, Elsevier, vol. 218(1), pages 132-139.
    9. Kiefer, Nicholas M., 2010. "Default Estimation and Expert Information," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(2), pages 320-328.
    10. Eddelbuettel, Dirk & Francois, Romain, 2011. "Rcpp: Seamless R and C++ Integration," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 40(i08).
    11. Kau, James B & Keenan, Donald C. & Muller III, Walter J. & Epperson, James F., 1990. "Pricing Commercial Mortgages and Their Mortgage-Backed Securities," The Journal of Real Estate Finance and Economics, Springer, vol. 3(4), pages 333-356, December.
    12. Deng, Yongheng, 1997. "Mortgage Termination: An Empirical Hazard Model with a Stochastic Term Structure," The Journal of Real Estate Finance and Economics, Springer, vol. 14(3), pages 309-331, May.
    13. Deng, Yongheng & Quigley, John M. & Van Order, Robert & Mac, Freddie, 1996. "Mortgage default and low downpayment loans: The costs of public subsidy," Regional Science and Urban Economics, Elsevier, vol. 26(3-4), pages 263-285, June.
    14. Brent W. Ambrose & Charles A. Capone, 1998. "Modeling the Conditional Probability of Foreclosure in the Context of Single‐Family Mortgage Default Resolutions," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 26(3), pages 391-429, September.
    15. Lambrecht, Bart M & Perraudin, William R M & Satchell, Steven, 2003. "Mortgage Default and Possession under Recourse: A Competing Hazards Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 35(3), pages 425-442, June.
    16. Lessmann, Stefan & Baesens, Bart & Seow, Hsin-Vonn & Thomas, Lyn C., 2015. "Benchmarking state-of-the-art classification algorithms for credit scoring: An update of research," European Journal of Operational Research, Elsevier, vol. 247(1), pages 124-136.
    17. Goodman, Allen C. & Smith, Brent C., 2010. "Residential mortgage default: Theory works and so does policy," Journal of Housing Economics, Elsevier, vol. 19(4), pages 280-294, December.
    18. Liu, Fan & Hua, Zhongsheng & Lim, Andrew, 2015. "Identifying future defaulters: A hierarchical Bayesian method," European Journal of Operational Research, Elsevier, vol. 241(1), pages 202-211.
    19. Mr. Jochen R. Andritzky, 2014. "Resolving Residential Mortgage Distress: Time to Modify?," IMF Working Papers 2014/226, International Monetary Fund.
    20. Calhoun, Charles A & Deng, Yongheng, 2002. "A Dynamic Analysis of Fixed- and Adjustable-Rate Mortgage Terminations," The Journal of Real Estate Finance and Economics, Springer, vol. 24(1-2), pages 9-33, Jan.-Marc.
    21. Danis, Michelle A. & Pennington-Cross, Anthony, 2008. "The delinquency of subprime mortgages," Journal of Economics and Business, Elsevier, vol. 60(1-2), pages 67-90.
    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. Vikram Ojha & JeongHoe Lee, 2021. "Default analysis in mortgage risk with conventional and deep machine learning focusing on 2008–2009," Digital Finance, Springer, vol. 3(3), pages 249-271, December.
    2. Medina-Olivares, Victor & Lindgren, Finn & Calabrese, Raffaella & Crook, Jonathan, 2023. "Joint models of multivariate longitudinal outcomes and discrete survival data with INLA: An application to credit repayment behaviour," European Journal of Operational Research, Elsevier, vol. 310(2), pages 860-873.
    3. Luong, Thi Mai & Scheule, Harald, 2022. "Benchmarking forecast approaches for mortgage credit risk for forward periods," European Journal of Operational Research, Elsevier, vol. 299(2), pages 750-767.
    4. Feng Xu & Dazhong Wu & Jian Hua & Tih Koon Tan, 2022. "Preventive Maintenance for Mortgage Loans of Low-Income Borrowers," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 14(3), pages 1-66, February.
    5. Sheikh Rabiul Islam & William Eberle & Sheikh K. Ghafoor & Sid C. Bundy & Douglas A. Talbert & Ambareen Siraj, 2019. "Investigating bankruptcy prediction models in the presence of extreme class imbalance and multiple stages of economy," Papers 1911.09858, arXiv.org.
    6. Jiang, Cuiqing & Wang, Zhao & Zhao, Huimin, 2019. "A prediction-driven mixture cure model and its application in credit scoring," European Journal of Operational Research, Elsevier, vol. 277(1), pages 20-31.
    7. Shi, Yong & Qu, Yi & Chen, Zhensong & Mi, Yunlong & Wang, Yunong, 2024. "Improved credit risk prediction based on an integrated graph representation learning approach with graph transformation," European Journal of Operational Research, Elsevier, vol. 315(2), pages 786-801.
    8. Congjin Zhou & Guojing Wang & Yinghui Dong & Pin Wang, 2024. "The Valuation at Origination of Mortgages with Full Prepayment and Default Risks," Methodology and Computing in Applied Probability, Springer, vol. 26(2), pages 1-26, June.

    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. Refik Soyer & Feng Xu, 2010. "Assessment of mortgage default risk via Bayesian reliability models," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 26(3), pages 308-330, May.
    2. Xudong An & John Clapp & Yongheng Deng, 2010. "Omitted Mobility Characteristics and Property Market Dynamics: Application to Mortgage Termination," The Journal of Real Estate Finance and Economics, Springer, vol. 41(3), pages 245-271, October.
    3. Jian Chen & Jin Xiang & Tyler T. Yang, 2018. "Re-Default Risk of Modified Mortgages," International Real Estate Review, Global Social Science Institute, vol. 21(1), pages 1-40.
    4. Yongheng Deng & Della Zheng & Changfeng Ling, 2005. "An Early Assessment of Residential Mortgage Performance in China," The Journal of Real Estate Finance and Economics, Springer, vol. 31(2), pages 117-136, September.
    5. Jun Chen & Yongheng Deng, 2013. "Commercial Mortgage Workout Strategy and Conditional Default Probability: Evidence from Special Serviced CMBS Loans," The Journal of Real Estate Finance and Economics, Springer, vol. 46(4), pages 609-632, May.
    6. Richard Chamboko & Jorge Miguel Bravo, 2020. "A Multi-State Approach to Modelling Intermediate Events and Multiple Mortgage Loan Outcomes," Risks, MDPI, vol. 8(2), pages 1-29, June.
    7. Seow Ong & Tien Sing & Alan Teo, 2007. "Delinquency and Default in Arms: The Effects of Protected Equity and Loss Aversion," The Journal of Real Estate Finance and Economics, Springer, vol. 35(3), pages 253-280, October.
    8. Asish Saha & Hock-Eam Lim & Goh-Yeok Siew, 2021. "Housing Loan Repayment Behaviour in Malaysia: An Analytical Insight," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 20(2), pages 1-19, September.
    9. Tracey Seslen & William C. Wheaton, 2005. "Contemporaneous Loan Stress and Termination Risk in the CMBS pool: how "Ruthless" is default?," Working Paper 8582, USC Lusk Center for Real Estate.
    10. Janine Aron & John Muellbauer, 2010. "Modelling and Forecasting UK Mortgage Arrears and Possessions," Economics Series Working Papers 499, University of Oxford, Department of Economics.
    11. repec:zbw:bofrdp:2009_035 is not listed on IDEAS
    12. Demyanyk, Yuliya & Hasan, Iftekhar, 2009. "Financial crises and bank failures: a review of prediction methods," Bank of Finland Research Discussion Papers 35/2009, Bank of Finland.
    13. Feng Xu & Dazhong Wu & Jian Hua & Tih Koon Tan, 2022. "Preventive Maintenance for Mortgage Loans of Low-Income Borrowers," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 14(3), pages 1-66, February.
    14. Anthony Pennington-Cross, 2010. "The Duration of Foreclosures in the Subprime Mortgage Market: A Competing Risks Model with Mixing," The Journal of Real Estate Finance and Economics, Springer, vol. 40(2), pages 109-129, February.
    15. Grovenstein, Robert A. & Harding, John P. & Sirmans, C.F. & Thebpanya, Sansanee & Turnbull, Geoffrey K., 2005. "Commercial mortgage underwriting: How well do lenders manage the risks?," Journal of Housing Economics, Elsevier, vol. 14(4), pages 355-383, December.
    16. Sumit Agarwal & Yongheng Deng & Jia He, 2020. "Time Preferences, Mortgage Choice and Mortgage Default," International Real Estate Review, Global Social Science Institute, vol. 23(2), pages 151-187.
    17. Daxuan Zhao & Yonglin Wang & Tien Foo Sing, 2019. "Impact of Foreclosure Laws on Mortgage Loan Supply and Performance," The Journal of Real Estate Finance and Economics, Springer, vol. 58(2), pages 159-200, February.
    18. Sumit Agarwal & Yongheng Deng & Jia He, 2020. "Time Preferences, Mortgage Choice and Mortgage Default," International Real Estate Review, Global Social Science Institute, vol. 23(2), pages 777-813.
    19. John Clapp & Yongheng Deng & Xudong An, 2005. "Unobserved heterogeneity in Models of Competing Mortgage Termination Risks," Working Paper 8585, USC Lusk Center for Real Estate.
    20. Hartarska, Valentina M. & Gonzalez-Vega, Claudio, 2001. "Credit Counseling And Mortgage Loan Default By Rural And Urban Low Income Households," 2001 Annual meeting, August 5-8, Chicago, IL 20740, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    21. Aron, Janine & Muellbauer, John, 2016. "“Modelling and forecasting mortgage delinquency and foreclosure in the UK.”," Journal of Urban Economics, Elsevier, vol. 94(C), pages 32-53.

    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:ejores:v:274:y:2019:i:3:p:1112-1124. 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/eor .

    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.