IDEAS home Printed from https://ideas.repec.org/p/ehl/lserod/140893.html

The cost of better information: risk-based pricing and aggregate default

Author

Listed:
  • Webb, David C.

Abstract

In credit markets where borrower types are observable, is it welfare-maximizing for a rate-setting institution to offer different rates to different borrower types, or to pool them at a common rate? Moral hazard favors separation; deadweight default costs favor pooling, since compressing rates reduces aggregate defaults through hazard rate heterogeneity. We derive the condition determining which force dominates: the ratio of default cost intensity to moral hazard intensity. We show that there is a single threshold value of this ratio such that separation strictly dominates below it, complete pooling strictly dominates above it, and the two are welfare-equivalent exactly at it, for every possible value of the ratio. The result does not depend on information being scarce: even though borrower types are observable throughout, pooling can still dominate separation when default costs are sufficiently large, provided the maintained compression and effort conditions we state precisely continue to hold; we conjecture, but do not formally establish, that the same logic extends to imperfect information if the threshold, recomputed for that weaker information structure, continues to be exceeded. The welfare criterion is utilitarian surplus; the efficiency claim is surplus maximization, not Pareto improvement.

Suggested Citation

  • Webb, David C., 2026. "The cost of better information: risk-based pricing and aggregate default," LSE Research Online Documents on Economics 140893, London School of Economics and Political Science, LSE Library.
  • Handle: RePEc:ehl:lserod:140893
    as

    Download full text from publisher

    File URL: https://researchonline.lse.ac.uk/id/eprint/140893/
    File Function: Open access version.
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Andreas Fuster & Paul Goldsmith‐Pinkham & Tarun Ramadorai & Ansgar Walther, 2022. "Predictably Unequal? The Effects of Machine Learning on Credit Markets," Journal of Finance, American Finance Association, vol. 77(1), pages 5-47, February.
    2. repec:bla:jfinan:v:53:y:1998:i:5:p:1443-1493 is not listed on IDEAS
    3. Innes, Robert D., 1990. "Limited liability and incentive contracting with ex-ante action choices," Journal of Economic Theory, Elsevier, vol. 52(1), pages 45-67, October.
    4. Glode, Vincent & Opp, Christian C. & Sverchkov, Ruslan, 2022. "To pool or not to pool? Security design in OTC markets," Journal of Financial Economics, Elsevier, vol. 145(2), pages 508-526.
    5. Peter M. DeMarzo, 2005. "The Pooling and Tranching of Securities: A Model of Informed Intermediation," The Review of Financial Studies, Society for Financial Studies, vol. 18(1), pages 1-35.
    6. Hirshleifer, Jack, 1971. "The Private and Social Value of Information and the Reward to Inventive Activity," American Economic Review, American Economic Association, vol. 61(4), pages 561-574, September.
    7. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
    8. Douglas Gale & Martin Hellwig, 1985. "Incentive-Compatible Debt Contracts: The One-Period Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(4), pages 647-663.
    9. Glover, Brent, 2016. "The expected cost of default," Journal of Financial Economics, Elsevier, vol. 119(2), pages 284-299.
    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. Allen, Franklin & Barbalau, Adelina, 2024. "Security design: A review," Journal of Financial Intermediation, Elsevier, vol. 60(C).
    2. Alex Gershkov & Benny Moldovanu & Philipp Strack & Mengxi Zhang, 2024. "Optimal Security Design for Risk-Averse Investors," ECONtribute Discussion Papers Series 325, University of Bonn and University of Cologne, Germany.
    3. Bernhardt Dan, 2012. "Screening and Financial Contracting in the Face of Outside Competition," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-40, May.
    4. Franke, Günter & Herrmann, Markus & Weber, Thomas, 2007. "Information asymmetries and securitization design," CoFE Discussion Papers 07/10, University of Konstanz, Center of Finance and Econometrics (CoFE).
    5. Stenzel, André, 2018. "Security design with interim public information," Journal of Mathematical Economics, Elsevier, vol. 76(C), pages 113-130.
    6. Angelo Baglioni & Luca Colombo, 2009. "Managers’ Compensation And Misreporting: A Costly State Verification Approach," Economic Inquiry, Western Economic Association International, vol. 47(2), pages 278-289, April.
    7. Longhofer, Stanley D., 1997. "Absolute Priority Rule Violations, Credit Rationing, and Efficiency," Journal of Financial Intermediation, Elsevier, vol. 6(3), pages 249-267, July.
    8. Mahmoud Sami Nabi, 2016. "Revisiting equity and debt: access to finance and economic inefficiency," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 63(4), pages 393-429, December.
    9. Günter Franke & Thomas Weber, 2007. "Wie werden Collateralized Debt Obligation-Transaktionen gestaltet?," Schmalenbach Journal of Business Research, Springer, vol. 59(57), pages 95-123, January.
    10. Jeffrey Lacker, 2001. "Collateralized Debt as the Optimal Contract," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 4(4), pages 842-859, October.
    11. Oliver Hart, 2017. "Incomplete Contracts and Control," American Economic Review, American Economic Association, vol. 107(7), pages 1731-1752, July.
    12. Bannier, Christina E. & Hänsel, Dennis N., 2007. "Determinants of banks' engagement in loan securitization," Frankfurt School - Working Paper Series 85, Frankfurt School of Finance and Management.
    13. Hellwig, Martin F., 2009. "A reconsideration of the Jensen-Meckling model of outside finance," Journal of Financial Intermediation, Elsevier, vol. 18(4), pages 495-525, October.
    14. Choi, Dong Beom & Eisenbach, Thomas M. & Yorulmazer, Tanju, 2021. "Watering a lemon tree: Heterogeneous risk taking and monetary policy transmission," Journal of Financial Intermediation, Elsevier, vol. 47(C).
    15. Troya-Martinez, Marta, 2017. "Self-enforcing trade credit," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 333-357.
    16. Budde, Jörg, 2013. "Verifiable and Nonverifiable Information in a Two-Period Agency Problem," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 445, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    17. Mahmoud Sami Nabi, 1437. "Access to Finance and Investment: Does Profit Sharing Dominate Debt?," Working Papers 0000-0, The Islamic Research and Teaching Institute (IRTI).
    18. Josef Schosser & Jochen Wilhelm, 2018. "Costly state verification and truthtelling: a note on the theory of debt contracts," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 129-139, October.
    19. Heski Bar-Isaac & Vicente Cuñat, 2014. "Long-Term Debt and Hidden Borrowing," The Review of Corporate Finance Studies, Society for Financial Studies, vol. 3(1-2), pages 87-122.
    20. Lewis A. Kornhauser & W. Bentley MacLeod, 2012. "Contracts between Legal Persons [The Handbook of Organizational Economics]," Introductory Chapters,, Princeton University Press.

    More about this item

    Keywords

    ;

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
    • G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation

    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:ehl:lserod:140893. 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: LSERO Manager (email available below). General contact details of provider: https://edirc.repec.org/data/lsepsuk.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.