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Estimating the demand function for differentiated product with endogenous characteristics and heterogeneity of preferences: The case of mortgage loans

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  • Evgeniy Ozhegov

    (National Research University Higher School of Economics, Perm, Russian Federation)

Abstract

This paper analyzes the mortgage borrowing process from a Russian state-owned supplier of residential housing mortgages concentrating on the estimation of demand function with heterogeneous borrowers’ preferences. Analysis takes into account the underwriting process and the choice of contract terms of all loans originated from 2008 to 2012. Our dataset contains demographic and financial characteristics for all applications, loan terms and the performance information for all issued loans by one regional bank which operates government mortgage programs. We use a multistep semiparametric approach to estimate the determinants of bank and borrower choice controlling for possible sample selection and endogeneity of product characteristics. The main contribution is modeling choice of contract terms as interdependent by structural system of simultaneous equations with heterogeneous marginal effects. We found that demand of low-income households who are unable to afford improving of housing conditions by other instruments than government mortgage is less elastic according to the change both in interest rate and maturity.

Suggested Citation

  • Evgeniy Ozhegov, 2017. "Estimating the demand function for differentiated product with endogenous characteristics and heterogeneity of preferences: The case of mortgage loans," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 45, pages 93-115.
    • Handle: RePEc:ris:apltrx:0312
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    References listed on IDEAS

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    1. Evgeniy Ozhegov, 2015. "Identification in a class of nonparametric simultaneous equation models with sample selection (in Russian)," Quantile, Quantile, issue 13, pages 15-23, May.
    2. Sanderson, Eleanor & Windmeijer, Frank, 2016. "A weak instrument F-test in linear IV models with multiple endogenous variables," Journal of Econometrics, Elsevier, vol. 190(2), pages 212-221.
    3. Orazio P. Attanasio & Pinelopi Koujianou Goldberg & Ekaterini Kyriazidou, 2008. "Credit Constraints In The Market For Consumer Durables: Evidence From Micro Data On Car Loans," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 49(2), pages 401-436, May.
    4. Michael LaCour-Little, 2007. "The Home Purchase Mortgage Preferences of Low- and Moderate-Income Households," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 35(3), pages 265-290, September.
    5. Ludmila Nivorozhkina & Lilia Ovcharova & Tatiana Sinyavskaya, 2013. "Econometric modeling risk of consumer loans," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 30(2), pages 65-76.
    6. Munnell, Alicia H. & Geoffrey M. B. Tootell & Lynn E. Browne & James McEneaney, 1996. "Mortgage Lending in Boston: Interpreting HMDA Data," American Economic Review, American Economic Association, vol. 86(1), pages 25-53, March.
    7. 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.
    8. Robert F. Phillips & Robert P. Trost & Anthony M.J. Yezer, 1994. "Bias in estimates of discrimination and default in mortgage lending: the effects of simultaneity and self-selection," Proceedings, Federal Reserve Bank of Philadelphia, pages 197-222.
    9. Stephen L Ross, 2000. "Mortgage Lending, Sample Selection and Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 28(4), pages 581-621.
    10. Robert Phillips & Anthony Yezer, 1996. "Self-Selection and Tests for Bias and Risk in Mortgage Lending: Can You Price the Mortgage If You Don’t Know the Process?," Journal of Real Estate Research, Taylor & Francis Journals, vol. 11(1), pages 87-102, January.
    11. Agatha Lozinskaya & Evgeniy Ozhegov, 2014. "Estimation of mortgage lending credit risk," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 35(3), pages 3-17.
    12. Mitali Das & Whitney K. Newey & Francis Vella, 2003. "Nonparametric Estimation of Sample Selection Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 70(1), pages 33-58.
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    Keywords

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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C30 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - General
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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