IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/4788.html
   My bibliography  Save this paper

Risk-Based Pricing of High Loan-To-Value Mortgage

Author

Listed:
  • Wang, Fan

Abstract

High loan-to-value (LTV) mortgage are residential mortgage loans with LTV ratio greater or equal to 90\%. Lenders are increasingly engaged in risk-based pricing. If properly quantified, the additional credit risk taken when originating high LTV mortgage can be compensated by higher interest rate charged to customers. High LTV mortgage is regulated to meet higher capital requirement and thus have higher funding cost. Current regulation raises regulatory capital requirement of banks on all high LTV mortgage holdings. However, it is not efficient to differentiate the risk between a high LTV first mortgage and a second lien mortgage with the same LTV. In the paper, I show how LTV ratio affects credit risk in mortgage. A structured credit modeling approach is taken to quantify the credit risk of first mortgage and second mortgage. The total risk in a combination of first and second mortgage is shown to be equal to that of a first mortgage with the same aggregate LTV. Default risk is derived implicitly. Optionality of defaultable debt results in an upward sloping credit supply curve in terms of a function of interest rate with respect to LTV. Current regulation in high LTV mortgage creates a funding advantage in seperating a high LTV mortgage into a lower funding cost first mortgage and a higher cost second mortgage.

Suggested Citation

  • Wang, Fan, 2007. "Risk-Based Pricing of High Loan-To-Value Mortgage," MPRA Paper 4788, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:4788
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/4788/1/MPRA_paper_4788.pdf
    File Function: original version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Marsha J. Courchane & Brian J. Surette & Peter M. Zorn, 2004. "Subprime Borrowers: Mortgage Transitions and Outcomes," The Journal of Real Estate Finance and Economics, Springer, vol. 29(4), pages 365-392, December.
    2. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
    3. Wendy Edelberg, 2003. "Risk-based pricing of interest rates in household loan markets," Finance and Economics Discussion Series 2003-62, Board of Governors of the Federal Reserve System (U.S.).
    4. Amy Cutts & Robert Order, 2004. "On the Economics of Subprime Lending," The Journal of Real Estate Finance and Economics, Springer, vol. 30(2), pages 167-196, November.
    5. Cowan, Adrian M. & Cowan, Charles D., 2004. "Default correlation: An empirical investigation of a subprime lender," Journal of Banking & Finance, Elsevier, vol. 28(4), pages 753-771, April.
    6. 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.
    7. Brueckner, Jan K, 2000. "Mortgage Default with Asymmetric Information," The Journal of Real Estate Finance and Economics, Springer, vol. 20(3), pages 251-274, May.
    8. 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.
    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. Jevgenijs Steinbuks & Gregory Elliehausen, 2014. "The Economic Effects of Legal Restrictions on High-Cost Mortgages," The Journal of Real Estate Finance and Economics, Springer, vol. 49(1), pages 47-72, July.
    2. Lanot, Gauthier & Leece, David, 2010. "The Performance of UK Securitized Subprime Mortgage Debt: ‘Idiosyncratic’ Behaviour or Mortgage Design?," MPRA Paper 27137, University Library of Munich, Germany.
    3. Seung Dong You, 2014. "The Leveraged City," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 42(4), pages 1042-1066, December.
    4. Amy Cutts & Robert Order, 2004. "On the Economics of Subprime Lending," The Journal of Real Estate Finance and Economics, Springer, vol. 30(2), pages 167-196, November.
    5. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742, Decembrie.
    6. Correia, Ricardo & Población, Javier, 2015. "A structural model with Explicit Distress," Journal of Banking & Finance, Elsevier, vol. 58(C), pages 112-130.
    7. AKM Rezaul Hossain, 2005. "A Simple Model of Credit Rationing with Information Externalities," Working papers 2005-11, University of Connecticut, Department of Economics.
    8. Correa, Arnildo & Marins, Jaqueline & Neves, Myrian & da Silva, Antonio Carlos, 2014. "Credit Default and Business Cycles: An Empirical Investigation of Brazilian Retail Loans," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 68(3), September.
    9. 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.
    10. Robert L. Brown & Dominique Achour, 1984. "The Pricing of Land Options," Urban Studies, Urban Studies Journal Limited, vol. 21(3), pages 317-323, August.
    11. 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.
    12. 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.
    13. Dror Parnes, 2023. "Typical States and Their Risks for Mortgage Loans," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 21(2), pages 395-415, June.
    14. Adithi Ramesh & C. B Senthil Kumar, 2017. "Structure and Intensity Based Approach in Credit Risk Models: A Literature Review," International Journal of Economics and Financial Issues, Econjournals, vol. 7(3), pages 609-612.
    15. Samuel Chege Maina, 2011. "Credit Risk Modelling in Markovian HJM Term Structure Class of Models with Stochastic Volatility," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2011, January-A.
    16. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    17. Eichler, Stefan & Karmann, Alexander & Maltritz, Dominik, 2011. "The term structure of banking crisis risk in the United States: A market data based compound option approach," Journal of Banking & Finance, Elsevier, vol. 35(4), pages 876-885, April.
    18. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    19. Maria Carmen Badia Batlle & M. Mercedes Galisteo Rodriguez & M. Teresa Preixens Benedicto, 2006. "Un modelo de riesgo de credito basado en opciones compuestas con barrera. Aplicacion al mercado continuo espanol," Working Papers in Economics 156, Universitat de Barcelona. Espai de Recerca en Economia.
    20. Charitou, Andreas & Dionysiou, Dionysia & Lambertides, Neophytos & Trigeorgis, Lenos, 2013. "Alternative bankruptcy prediction models using option-pricing theory," Journal of Banking & Finance, Elsevier, vol. 37(7), pages 2329-2341.

    More about this item

    Keywords

    mortgage lending; risk-based pricing; credit risk; regulatory capital;
    All these keywords.

    JEL classification:

    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:pra:mprapa:4788. 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: Joachim Winter (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.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.