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A computational approach to pricing a bank credit line

  • Stanhouse, Bryan
  • Schwarzkopf, Al
  • Ingram, Matt
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    Using trended Brownian motion to characterize borrower cash needs over time, we are able to derive a probability density function for the time to depletion of a bank credit line as well as the likelihoods for the time to exhausting the sources of liquidity that fund the loan. Armed with these analytic results, we solve for the credit line mark-up rate and the configuration of stored liquidity that maximizes the bank's intertemporal expected profits from the loan. The optimality conditions produce a system of integral differential equations whose solutions we then simulate over a host of scenarios.

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    Article provided by Elsevier in its journal Journal of Banking & Finance.

    Volume (Year): 35 (2011)
    Issue (Month): 6 (June)
    Pages: 1341-1351

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    Handle: RePEc:eee:jbfina:v:35:y:2011:i:6:p:1341-1351
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    1. Robert B. Avery & Allen N. Berger, 1989. "Loan commitments and bank risk exposure," Finance and Economics Discussion Series 65, Board of Governors of the Federal Reserve System (U.S.).
    2. Anjan V. Thakor & Gregory F. Udell, 2004. "An Economic Rationale for the Pricing Structure of Bank Loan Commitments," Finance 0411053, EconWPA.
    3. Berkovitch, Elazar & Greenbaum, Stuart I., 1991. "The Loan Commitment as an Optimal Financing Contract," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(01), pages 83-95, March.
    4. Ho, Thomas S. Y. & Saunders, Anthony, 1983. "Fixed Rate Loan Commitments, Take-Down Risk, and the Dynamics of Hedging with Futures," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 18(04), pages 499-516, December.
    5. Joao A. Bastos, 2009. "Forecasting bank loans loss-given-default," CEMAPRE Working Papers 0901, Centre for Applied Mathematics and Economics (CEMAPRE), School of Economics and Management (ISEG), Technical University of Lisbon.
    6. Greenbaum, Stuart I & Kanatas, George & Venezia, Itzhak, 1991. "Loan Commitments and the Management of Uncertain Credit Demand," The Journal of Real Estate Finance and Economics, Springer, vol. 4(4), pages 351-66, December.
    7. Campbell, Tim S, 1978. "A Model of the Market for Lines of Credit," Journal of Finance, American Finance Association, vol. 33(1), pages 231-44, March.
    8. Berger, Allen N. & Klapper, Leora F. & Martinez Peria, Maria Soledad & Zaidi, Rida, 2006. "Bank ownership type and banking relationships," Policy Research Working Paper Series 3862, The World Bank.
    9. James, Christopher, 1981. "Self-Selection and the Pricing of Bank Services: an Analysis of the Market for Loan Commitments and the Role of Compensating Balance Requirements," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 16(05), pages 725-746, December.
    10. Boot, Arnoud W A & Greenbaum, Stuart I & Thakor, Anjan V, 1993. "Reputation and Discretion in Financial Contracting," American Economic Review, American Economic Association, vol. 83(5), pages 1165-83, December.
    11. Boot, A.W.A. & Thakor, A.V. & Udell, G.F., 1987. "Competition, risk neutrality and loan commitments," Research Memorandum afd7b491-7ac6-41c8-8cae-0, Tilburg University, School of Economics and Management.
    12. Pierre-Richard Agénor & Karim El Aynaoui, 2008. "Excess Liquidity, Bank Pricing Rules, and Monetary Policy," Centre for Growth and Business Cycle Research Discussion Paper Series 105, Economics, The Univeristy of Manchester.
    13. Thakor, Anjan V, 1989. "Competitive Equilibrium with Type Convergence in an Asymmetrically Informed Market," Review of Financial Studies, Society for Financial Studies, vol. 2(1), pages 49-71.
    14. Khandani, Amir E. & Kim, Adlar J. & Lo, Andrew W., 2010. "Consumer credit-risk models via machine-learning algorithms," Journal of Banking & Finance, Elsevier, vol. 34(11), pages 2767-2787, November.
    15. Shockley Richard L., 1995. "Bank Loan Commitments and Corporate Leverage," Journal of Financial Intermediation, Elsevier, vol. 4(3), pages 272-301, July.
    16. Shehzad, Choudhry Tanveer & de Haan, Jakob & Scholtens, Bert, 2010. "The impact of bank ownership concentration on impaired loans and capital adequacy," Journal of Banking & Finance, Elsevier, vol. 34(2), pages 399-408, February.
    17. Deep, Akash & Schaefer, Guido, 2004. "Are Banks Liquidity Transformers?," Working Paper Series rwp04-022, Harvard University, John F. Kennedy School of Government.
    18. Calabrese, Raffaella & Zenga, Michele, 2010. "Bank loan recovery rates: Measuring and nonparametric density estimation," Journal of Banking & Finance, Elsevier, vol. 34(5), pages 903-911, May.
    19. Shockley, Richard L & Thakor, Anjan V, 1997. "Bank Loan Commitment Contracts: Data, Theory, and Tests," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(4), pages 517-34, November.
    20. Jiménez, Gabriel & Salas, Vicente & Saurina, Jesús, 2009. "Organizational distance and use of collateral for business loans," Journal of Banking & Finance, Elsevier, vol. 33(2), pages 234-243, February.
    21. Maksimovic, Vojislav, 1990. " Product Market Imperfections and Loan Commitments," Journal of Finance, American Finance Association, vol. 45(5), pages 1641-53, December.
    22. O. Emre Ergungor, 2001. "Theories of loan commitments: a literature review," Economic Review, Federal Reserve Bank of Cleveland, issue Q III, pages 2-19.
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