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A Quantitative Theory of Credit Scoring

Author

Listed:
  • Xuan Tam

    (Cambridge University)

  • Eric Young

    (University of Virginia)

  • Kartik Athreya

    (Federal Reserve Bank of Richmond)

Abstract

Starting in the early 1990s credit scoring became widespread and central in credit granting decisions. Credit scores are scalar representations of default risk. They are used, in turn, to price credit, and as a result alter household borrowing and default decisions. We build on recent work on defaultable consumer credit under asymmetric information to develop a quantitative theory of credit scores. We construct and solve a rich and quantitatively-disciplined lifecycle model of consumption in which households have access to defaultable debt, and lenders are asymmetrically informed about household characteristics relevant to predicting default. We then allow lenders to keep record of inferences on the hidden type of a borrower, as well as a binary 'flag' indicating a past default. These inferences arise endogenously from a signalling game induced by borrowers' need to obtain loans. We show how lenders’ inferences evolve over the lifecycle as a function of household behavior in a way that can be naturally interpreted as 'credit scores.' In particular, we first show that lenders' assessments that a household has relatively low default risk matter significantly for the interest rates households pay. We then show that such assessments rise most sharply an d interest rates paid by borrowers fall most sharply (on the order of 5-6 percentage points) when the bankruptcy flag is removed, consistent with work of Musto (2005). Lastly, we compare allocations across information regimes to provide a measure of the social value of credit scores, and the dependence of these measures on lenders' ability to observe borrower characteristics.

Suggested Citation

  • Xuan Tam & Eric Young & Kartik Athreya, 2013. "A Quantitative Theory of Credit Scoring," 2013 Meeting Papers 382, Society for Economic Dynamics.
  • Handle: RePEc:red:sed013:382
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    File URL: https://economicdynamics.org/meetpapers/2013/paper_382.pdf
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    References listed on IDEAS

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    1. Athreya, Kartik & Sánchez, Juan M. & Tam, Xuan S. & Young, Eric R., 2012. "Bankruptcy and delinquency in a model of unsecured debt," Working Papers 2012-042, Federal Reserve Bank of St. Louis, revised 22 Dec 2016.
    2. David B. Gross, 2002. "An Empirical Analysis of Personal Bankruptcy and Delinquency," Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 319-347, March.
    3. Kartik Athreya & Xuan S. Tam & Eric R. Young, 2012. "A Quantitative Theory of Information and Unsecured Credit," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(3), pages 153-183, July.
    4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    5. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, Oxford University Press, vol. 102(2), pages 179-221.
    6. Banks, Jeffrey S & Sobel, Joel, 1987. "Equilibrium Selection in Signaling Games," Econometrica, Econometric Society, vol. 55(3), pages 647-661, May.
    7. Hellwig, Martin, 1989. "Asymmetric information, financial markets, and financial institutions Where are we currently going?," European Economic Review, Elsevier, vol. 33(2-3), pages 277-285, March.
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