A computational approach to pricing a bank credit line
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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- 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.
- Arnoud Boot & Anjan V. Thakor & Gregory F. Udell, 2004.
"Competition, Risk Neutrality and Loan Commitments,"
- 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.
- 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.
- 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.
- Robert B. Avery & Allen N. Berger, 1990.
"Loan commitments and bank risk exposure,"
9015, Federal Reserve Bank of Cleveland.
- 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.).
- Robert B. Avery & Allen N. Berger, 1988. "Loan commitments and bank risk exposure," Finance and Economics Discussion Series 36, Board of Governors of the Federal Reserve System (U.S.).
- Shockley Richard L., 1995. "Bank Loan Commitments and Corporate Leverage," Journal of Financial Intermediation, Elsevier, vol. 4(3), pages 272-301, July.
- O. Emre Ergungor, 2001. "Theories of loan commitments: a literature review," Economic Review, Federal Reserve Bank of Cleveland, issue Q III, pages 2-19.
- 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.
- 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.
- 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.
- 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.
- Anjan V. Thakor & Gregory F. Udell, 2004.
"An Economic Rationale for the Pricing Structure of Bank Loan Commitments,"
- Thakor, Anjan V. & Udell, Gregory F., 1987. "An economic rationale for the pricing structure of bank loan commitments," Journal of Banking & Finance, Elsevier, vol. 11(2), pages 271-289, June.
- Deep, Akash & Schaefer, Guido, 2004. "Are Banks Liquidity Transformers?," Working Paper Series rwp04-022, Harvard University, John F. Kennedy School of Government.
- 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.
- Agénor, Pierre-Richard & Aynaoui, Karim El, 2010.
"Excess liquidity, bank pricing rules, and monetary policy,"
Journal of Banking & Finance,
Elsevier, vol. 34(5), pages 923-933, May.
- 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.
- 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.
- 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.
- Maksimovic, Vojislav, 1990. " Product Market Imperfections and Loan Commitments," Journal of Finance, American Finance Association, vol. 45(5), pages 1641-53, December.
- 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.
- Berger, Allen N. & Klapper, Leora F. & Martinez Peria, Maria Soledad & Zaidi, Rida, 2008.
"Bank ownership type and banking relationships,"
Journal of Financial Intermediation,
Elsevier, vol. 17(1), pages 37-62, January.
- 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.
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