IDEAS home Printed from https://ideas.repec.org/a/ire/issued/v21n012018p1-40.html
   My bibliography  Save this article

Re-Default Risk of Modified Mortgages

Author

Listed:
  • Jian Chen

    (RQuest Financial Services Group)

  • Jin Xiang

    (Western Alliance Bank)

  • Tyler T. Yang

    (IFE Group)

Abstract

During the recent housing recession and financial crisis, mortgage modification has been heavily promoted by the U.S. government as a way to stabilize the housing and the national banking systems. Numerous programs, such as the Home Owners Preserving Equity (HOPE), Home Affordability Modification Program (HAMP), and Home Affordability Refinance Program (HARP), were introduced or enhanced to allow more aggressive modifications than traditionally observed prior to the crisis. Loan modification is believed to be a way to avoid foreclosure and to help borrowers keep their homes. However, the effectiveness of loan modification in preventing eventual foreclosure has not been quantified. In this paper, we use Federal Housing Administration (FHA) modified loans to analyze their re-default risk. We use loan-level data to trace the performance of loans with heavy modifications. We have three major empirical findings. First, the empirical model shows that modified loans tend to have much higher re-default risk than otherwise identical never-defaulted loans. Second, the re-default model shows that re-default hazard is less sensitive to traditional risk drivers, compared with non-modified loans. Third, the re-default risk declines initially with the magnitude of the payment reduction associated with the modification received. However, as the payment reduction becomes substantial, the probability of re-default increases. Our empirical results suggest payment reduction is most effective around the 10% to 30% level, in order to reduce re-default risk. The effect is relatively flat between the 30% to 40% level. Payment reduction beyond the 40% level increases re-default risk, controlling for all observable variables. These findings have profound implications in how lenders should design optimal modification policies.

Suggested Citation

  • 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.
  • Handle: RePEc:ire:issued:v:21:n:01:2018:p:1-40
    as

    Download full text from publisher

    File URL: https://www.gssinst.org/irer/wp-content/uploads/2020/10/v21n1-re-default-risk-of-modified-mortgages.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Christopher Foote & Kristopher Gerardi & Lorenz Goette & Paul Willen, 2010. "Reducing Foreclosures: No Easy Answers," NBER Chapters, in: NBER Macroeconomics Annual 2009, Volume 24, pages 89-138, National Bureau of Economic Research, Inc.
    2. Diaz-Serrano, Luis, 2004. "Income Volatility and Residential Mortgage Delinquency: Evidence from 12 EU Countries," IZA Discussion Papers 1396, Institute of Labor Economics (IZA).
    3. Yu Xie & Charles F. Manski, 1989. "The Logit Model and Response-Based Samples," Sociological Methods & Research, , vol. 17(3), pages 283-302, February.
    4. Kenneth P. Brevoort & Cheryl R. Cooper, 2013. "Foreclosure's Wake: The Credit Experiences of Individuals Following Foreclosure," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 41(4), pages 747-792, December.
    5. Andreas Fuster & Paul S. Willen, 2017. "Payment Size, Negative Equity, and Mortgage Default," American Economic Journal: Economic Policy, American Economic Association, vol. 9(4), pages 167-191, November.
    6. Chester Foster & Robert Van Order, 1985. "FHA Terminations: A Prelude to Rational Mortgage Pricing," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 13(3), pages 273-291, September.
    7. Shuang Zhu & R. Pace, 2012. "Distressed Properties: Valuation Bias and Accuracy," The Journal of Real Estate Finance and Economics, Springer, vol. 44(1), pages 153-166, January.
    8. Karl E. Case & Robert J. Shiller, 1987. "Prices of single-family homes since 1970: new indexes for four cities," New England Economic Review, Federal Reserve Bank of Boston, issue Sep, pages 45-56.
    9. 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.
    10. Kau, James B & Keenan, Donald C & Muller, Walter J, III & Epperson, James F, 1993. "Option Theory and Floating-Rate Securities with a Comparison of Adjustable- and Fixed-Rate Mortgages," The Journal of Business, University of Chicago Press, vol. 66(4), pages 595-618, October.
    11. Case, Karl E & Shiller, Robert J, 1989. "The Efficiency of the Market for Single-Family Homes," American Economic Review, American Economic Association, vol. 79(1), pages 125-137, March.
    12. Gordon W. Crawford & Eric Rosenblatt, 1995. "Efficient Mortgage Default Option Exercise: Evidence from Loss Severity," Journal of Real Estate Research, American Real Estate Society, vol. 10(5), pages 543-556.
    13. Kau, James B, et al, 1992. "A Generalized Valuation Model for Fixed-Rate Residential Mortgages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(3), pages 279-299, August.
    14. James B. Kau & Donald C. Keenan & Taewon Kim, 1993. "Transaction Costs, Suboptimal Termination and Default Probabilities," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(3), pages 247-263, September.
    15. Schwartz, Eduardo S & Torous, Walter N, 1989. " Prepayment and the Valuation of Mortgage-Backed Securities," Journal of Finance, American Finance Association, vol. 44(2), pages 375-392, June.
    16. 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.
    17. Kau James B. & Keenan Donald C. & Kim Taewon, 1994. "Default Probabilities for Mortgages," Journal of Urban Economics, Elsevier, vol. 35(3), pages 278-296, May.
    18. 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.
    19. John M. Quigley & Robert Van Order, 1990. "Efficiency in the Mortgage Market: The Borrower's Perspective," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 18(3), pages 237-252, September.
    20. Green, Jerry & Shoven, John B, 1986. "The Effects of Interest Rates on Mortgage Prepayments," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 18(1), pages 41-59, February.
    21. Tyler T. Yang & Henry Buist & Isaac F. Megbolugbe, 1998. "An Analysis of the Ex Ante Probabilities of Mortgage Prepayment and Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 26(4), pages 651-676, December.
    22. Benjamin J. Keys & Tanmoy Mukherjee & Amit Seru & Vikrant Vig, 2010. "Did Securitization Lead to Lax Screening? Evidence from Subprime Loans," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 125(1), pages 307-362.
    23. Quigley, John M & Van Order, Robert, 1995. "Explicit Tests of Contingent Claims Models of Mortgage Default," The Journal of Real Estate Finance and Economics, Springer, vol. 11(2), pages 99-117, September.
    24. Titman, Sheridan D & Torous, Walter N, 1989. " Valuing Commercial Mortgages: An Empirical Investigation of the Contingent-Claims Approach to Pricing Risky Debt," Journal of Finance, American Finance Association, vol. 44(2), pages 345-373, June.
    25. Diaz-Serrano, Luis, 2005. "Income volatility and residential mortgage delinquency across the EU," Journal of Housing Economics, Elsevier, vol. 14(3), pages 153-177, September.
    26. 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.
    27. John Krainer & Elizabeth Laderman, 2011. "Prepayment and delinquency in the mortgage crisis period," Working Paper Series 2011-25, Federal Reserve Bank of San Francisco.
    28. Chinloy, Peter & Cho, Man & Megbolugbe, Isaac F, 1997. "Appraisals, Transaction Incentives, and Smoothing," The Journal of Real Estate Finance and Economics, Springer, vol. 14(1-2), pages 89-111, Jan.-Marc.
    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. Deng, Yongheng & Gu, Quanlin & He, Jia, 2021. "Reinforcement learning and mortgage partial prepayment behavior," Pacific-Basin Finance Journal, Elsevier, vol. 68(C).
    3. Ran Deng & Shermineh Haghani, 2017. "FHA Loans in Foreclosure Proceedings: Distinguishing Sources of Interdependence in Competing Risks," JRFM, MDPI, vol. 11(1), pages 1-15, December.
    4. 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.
    5. 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.
    6. Xudong An & Yongheng Deng & Eric Rosenblatt & Vincent Yao, 2012. "Model Stability and the Subprime Mortgage Crisis," The Journal of Real Estate Finance and Economics, Springer, vol. 45(3), pages 545-568, October.
    7. 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.
    8. Agarwal, Sumit & Ambrose, Brent W. & Chomsisengphet, Souphala & Liu, Chunlin, 2006. "An empirical analysis of home equity loan and line performance," Journal of Financial Intermediation, Elsevier, vol. 15(4), pages 444-469, October.
    9. 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.
    10. 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.
    11. Ming‐Chi Chen & Chia‐Chien Chang & Shih‐Kuei Lin & So‐De Shyu, 2010. "Estimation of Housing Price Jump Risks and Their Impact on the Valuation of Mortgage Insurance Contracts," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 399-422, June.
    12. Che-Chun Lin & Ting-Heng Chu & Larry J. Prather & Perry Wang, 2005. "Mortgage Curtailment and Default," International Real Estate Review, Global Social Science Institute, vol. 8(1), pages 95-109.
    13. Danny Ben-Shahar, 2006. "Screening Mortgage Default Risk: A Unified Theoretical Framework," Journal of Real Estate Research, American Real Estate Society, vol. 28(3), pages 215-240.
    14. Antje Berndt & Burton Hollifield & Patrik Sandås, 2021. "What Broker Charges Reveal About Subprime Mortgage Credit Risk," The Journal of Real Estate Finance and Economics, Springer, vol. 63(2), pages 280-326, August.
    15. 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.
    16. Tsai, Ming-Shann & Liao, Szu-Lang & Chiang, Shu-Ling, 2009. "Analyzing yield, duration and convexity of mortgage loans under prepayment and default risks," Journal of Housing Economics, Elsevier, vol. 18(2), pages 92-103, June.
    17. Szu‐Lang Liao & Ming‐Shann Tsai & Shu‐Ling Chiang, 2008. "Closed‐Form Mortgage Valuation Using Reduced‐Form Model," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 36(2), pages 313-347, June.
    18. Kau, James B. & Keenan, Donald C., 1999. "Patterns of rational default," Regional Science and Urban Economics, Elsevier, vol. 29(6), pages 765-785, November.
    19. Patrick Bajari & Chenghuan Sean Chu & Minjung Park, 2008. "An Empirical Model of Subprime Mortgage Default From 2000 to 2007," NBER Working Papers 14625, National Bureau of Economic Research, Inc.
    20. Yongheng Deng & Peng Liu, 2009. "Mortgage Prepayment and Default Behavior with Embedded Forward Contract Risks in China’s Housing Market," The Journal of Real Estate Finance and Economics, Springer, vol. 38(3), pages 214-240, April.

    More about this item

    Keywords

    Residential Mortgage; Default Risk; Credit Risk;
    All these keywords.

    JEL classification:

    • L85 - Industrial Organization - - Industry Studies: Services - - - Real Estate Services

    Statistics

    Access and download statistics

    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:ire:issued:v:21:n:01:2018:p:1-40. 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: IRER Graduate Assistant/Webmaster (email available below). General contact details of provider: https://www.gssinst.org/gssinst/index.html .

    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.