IDEAS home Printed from https://ideas.repec.org/a/kap/jrefec/v45y2012i3p645-677.html
   My bibliography  Save this article

The Optimal Mortgage Loan Portfolio in UK Regional Residential Real Estate

Author

Listed:
  • Youngha Cho
  • Soosung Hwang
  • Steve Satchell

Abstract

In this study, we propose a method based on large deviation theory (LDT), which minimises credit risk (expected loss). We demonstrate how mortgage loan portfolios can be optimised using geographical differences in the risk characteristics of mortgage loans in the UK. Our empirical results show that credit risk can be reduced by a third when the LDT method is used instead of the benchmark portfolios that we calculate with regional-gross-value-added weights and equal weights. More importantly, the difference in the expected loss between these portfolios increases further during bearish housing markets. To see that such numbers matter, in an extreme scenario, the UK mortgage lenders could lose more than 2% a year as the consequence of mortgage defaults, which is equivalent to an annual loss of approximately 20 billion pounds in the UK. Although this extreme state would not continue for a long time, it nevertheless represents a huge potential loss for mortgage lenders and investors. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Youngha Cho & Soosung Hwang & Steve Satchell, 2012. "The Optimal Mortgage Loan Portfolio in UK Regional Residential Real Estate," The Journal of Real Estate Finance and Economics, Springer, vol. 45(3), pages 645-677, October.
  • Handle: RePEc:kap:jrefec:v:45:y:2012:i:3:p:645-677
    DOI: 10.1007/s11146-010-9269-9
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s11146-010-9269-9
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s11146-010-9269-9?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. Huyen Pham, 2007. "Some applications and methods of large deviations in finance and insurance," Papers math/0702473, arXiv.org, revised Feb 2007.
    2. Edward I. Altman & Andrea Resti & Andrea Sironi, 2002. "The link between default and recovery rates: effects on the procyclicality of regulatory capital ratios," BIS Working Papers 113, Bank for International Settlements.
    3. Kerry D. Vandell, 1984. "On the Assessment of Default Risk in Commercial Mortgage Lending," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 12(3), pages 270-296, September.
    4. Keys, Benjamin J. & Mukherjee, Tanmoy & Seru, Amit & Vig, Vikrant, 2009. "Financial regulation and securitization: Evidence from subprime loans," Journal of Monetary Economics, Elsevier, vol. 56(5), pages 700-720, July.
    5. Shlomo Benartzi & Richard H. Thaler, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 110(1), pages 73-92.
    6. repec:zbw:bofrdp:2009_003 is not listed on IDEAS
    7. Michael Stutzer, 2011. "Portfolio choice with endogenous utility: a large deviations approach," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 43, pages 619-640, World Scientific Publishing Co. Pte. Ltd..
    8. Ambrose, Brent W & Capone, Charles A, Jr & Deng, Yongheng, 2001. "Optimal Put Exercise: An Empirical Examination of Conditions for Mortgage Foreclosure," The Journal of Real Estate Finance and Economics, Springer, vol. 23(2), pages 213-234, September.
    9. Robert A. Jarrow & David Lando & Stuart M. Turnbull, 2008. "A Markov Model for the Term Structure of Credit Risk Spreads," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 18, pages 411-453, World Scientific Publishing Co. Pte. Ltd..
    10. Barnhill Jr., Theodore M. & Maxwell, William F., 2002. "Modeling correlated market and credit risk in fixed income portfolios," Journal of Banking & Finance, Elsevier, vol. 26(2-3), pages 347-374, March.
    11. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    12. Robert A. Jarrow & Stuart M. Turnbull, 2008. "Pricing Derivatives on Financial Securities Subject to Credit Risk," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 17, pages 377-409, World Scientific Publishing Co. Pte. Ltd..
    13. Lawrence Goldberg & Charles A. Capone, Jr., 2002. "A Dynamic Double‐Trigger Model of Multifamily Mortgage Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 30(1), pages 85-113.
    14. Ambrose, Brent W & Buttimer, Richard J, Jr, 2000. "Embedded Options in the Mortgage Contract," The Journal of Real Estate Finance and Economics, Springer, vol. 21(2), pages 95-111, September.
    15. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    16. 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.
    17. Campbell, Tim S & Dietrich, J Kimball, 1983. "The Determinants of Default on Insured Conventional Residential Mortgage Loans," Journal of Finance, American Finance Association, vol. 38(5), pages 1569-1581, December.
    18. Kerry D. Vandell, 1992. "Predicting Commercial Mortgage Foreclosure Experience," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 20(1), pages 55-88, March.
    19. 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.
    20. Didier Sornette, 1998. "Large deviations and portfolio optimization," Papers cond-mat/9802059, arXiv.org, revised Jun 1998.
    21. Sanjiv Das, 2007. "Basel II: Correlation Related Issues," Journal of Financial Services Research, Springer;Western Finance Association, vol. 32(1), pages 17-38, October.
    22. Kerry D. Vandell & Thomas Thibodeau, 1985. "Estimation of Mortgage Defaults Using Disaggregate Loan History Data," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 13(3), pages 292-316, September.
    23. Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515, World Scientific Publishing Co. Pte. Ltd..
    24. Shaun Bond & Soosung Hwang & Zhenguo Lin & Kerry Vandell, 2007. "Marketing Period Risk in a Portfolio Context: Theory and Empirical Estimates from the UK Commercial Real Estate Market," The Journal of Real Estate Finance and Economics, Springer, vol. 34(4), pages 447-461, May.
    25. 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.
    26. Campbell, John Y. & Viceira, Luis M., 2002. "Strategic Asset Allocation: Portfolio Choice for Long-Term Investors," OUP Catalogue, Oxford University Press, number 9780198296942.
    27. Calem, Paul S. & LaCour-Little, Michael, 2004. "Risk-based capital requirements for mortgage loans," Journal of Banking & Finance, Elsevier, vol. 28(3), pages 647-672, March.
    28. Ambrose, Brent W & Buttimer, Richard J, Jr & Capone, Charles A, 1997. "Pricing Mortgage Default and Foreclosure Delay," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(3), pages 314-325, August.
    29. Sornette, Didier, 1998. "Large deviations and portfolio optimization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 256(1), pages 251-283.
    30. 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.
    31. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    32. 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.
    33. Jon Frye, 2000. "Depressing recoveries," Emerging Issues, Federal Reserve Bank of Chicago, issue Oct.
    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. Deb Narayan Barik & Siddhartha P. Chakrabarty, 2022. "Does limited liability reduce leveraged risk?: The case of loan portfolio management," Papers 2209.12636, arXiv.org.
    2. Deb Narayan Barik & Siddhartha P. Chakrabarty, 2022. "Does Limited Liability Reduce Leveraged Risk?: The Case of Loan Portfolio Management," JRFM, MDPI, vol. 15(11), pages 1-15, November.
    3. Jalal El Fadil & Helyoth Hessou, 2024. "Performance and Assets and Liabilities Management in the U.S. Credit Union," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 14(1), pages 1-6.

    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. Chang, Chia-Chien, 2014. "Valuation Of Mortgage Insurance Contracts With Counterparty Default Risk: Reduced-Form Approach," ASTIN Bulletin, Cambridge University Press, vol. 44(2), pages 303-334, May.
    3. Palmroos, Peter, 2009. "Effects of unobserved defaults on correlation between probability of default and loss given on mortgage loans," Research Discussion Papers 3/2009, Bank of Finland.
    4. International Association of Deposit Insurers, 2011. "Evaluation of Deposit Insurance Fund Sufficiency on the Basis of Risk Analysis," IADI Research Papers 11-11, International Association of Deposit Insurers.
    5. Hui, C.H. & Lo, C.F. & Wong, T.C. & Man, P.K., 2006. "Measuring provisions for collateralised retail lending," Journal of Economics and Business, Elsevier, vol. 58(4), pages 343-361.
    6. repec:zbw:bofrdp:2009_003 is not listed on IDEAS
    7. David Feldman & Shulamith Gross, 2005. "Mortgage Default: Classification Trees Analysis," The Journal of Real Estate Finance and Economics, Springer, vol. 30(4), pages 369-396, June.
    8. Gregory Connor & Lisa R. Goldberg & Robert A. Korajczyk, 2010. "Portfolio Risk Analysis," Economics Books, Princeton University Press, edition 1, number 9224.
    9. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    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. Palmroos, Peter, 2009. "Effects of unobserved defaults on correlation between probability of default and loss given on mortgage loans," Bank of Finland Research Discussion Papers 3/2009, Bank of Finland.
    13. Chao Tian & Roberto Quercia & Sarah Riley, 2016. "Unemployment as an Adverse Trigger Event for Mortgage Default," The Journal of Real Estate Finance and Economics, Springer, vol. 52(1), pages 28-49, January.
    14. Albrecht, Peter, 2005. "Kreditrisiken - Modellierung und Management: Ein Überblick," German Risk and Insurance Review (GRIR), University of Cologne, Department of Risk Management and Insurance, vol. 1(2), pages 22-152.
    15. 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.
    16. Abel Elizalde, 2006. "Credit Risk Models I: Default Correlation in Intensity Models," Working Papers wp2006_0605, CEMFI.
    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. 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.
    19. 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.
    20. 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.
    21. Jobst, Norbert J. & Zenios, Stavros A., 2005. "On the simulation of portfolios of interest rate and credit risk sensitive securities," European Journal of Operational Research, Elsevier, vol. 161(2), pages 298-324, March.

    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:kap:jrefec:v:45:y:2012:i:3:p:645-677. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.