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Dynamic Credit-Collections Optimization

Author

Listed:
  • Naveed Chehrazi

    (Department of Information, Risk, and Operations Management, McCombs School of Business, The University of Texas at Austin, Austin, Texas 78705)

  • Peter W. Glynn

    (Department of Management Science and Engineering, Stanford University, Stanford, California 94305)

  • Thomas A. Weber

    (Economics and Strategy, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland)

Abstract

Based on a dynamic model of the stochastic repayment behavior exhibited by delinquent credit-card accounts in the form of a self-exciting point process, a bank can control the arrival intensity of repayments using costly account-treatment actions. A semi-analytic solution to the corresponding stochastic optimal control problem is obtained using a recursive approach. For a linear cost of treatment effort, the optimal policy in the two-dimensional (intensity, balance) space is described by the frontier of a convex action region. The unique optimal policy significantly reduces a bank’s loss given default and concentrates the collection effort onto the best possible actions at the best possible times so as to minimize the sum of the expected discounted outstanding balance and the discounted cost of the collection effort, thus maximizing the net value of any given delinquent credit-card account. This paper was accepted by Noah Gans, stochastic models and simulation.

Suggested Citation

  • Naveed Chehrazi & Peter W. Glynn & Thomas A. Weber, 2019. "Dynamic Credit-Collections Optimization," Management Science, INFORMS, vol. 67(6), pages 2737-2769, June.
  • Handle: RePEc:inm:ormnsc:v:65:y:2019:i:6:p:2737-2769
    DOI: 10.1287/mnsc.2018.3070
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    References listed on IDEAS

    as
    1. Naveed Chehrazi & Thomas A. Weber, 2010. "Monotone Approximation of Decision Problems," Operations Research, INFORMS, vol. 58(4-part-2), pages 1158-1177, August.
    2. Giuseppe Bertola & Richard Disney & Charles Grant (ed.), 2006. "The Economics of Consumer Credit," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262026015, December.
    3. Pliska, Stanley R., 1975. "Controlled jump processes," Stochastic Processes and their Applications, Elsevier, vol. 3(3), pages 259-282, July.
    4. Bayraktar, Erhan & Ludkovski, Michael, 2009. "Sequential tracking of a hidden Markov chain using point process observations," Stochastic Processes and their Applications, Elsevier, vol. 119(6), pages 1792-1822, June.
    5. Morton Mitchner & Raymond P. Peterson, 1957. "An Operations-Research Study of the Collection of Defaulted Loans," Operations Research, INFORMS, vol. 5(4), pages 522-545, August.
    6. Stephan Meier & Charles Sprenger, 2010. "Present-Biased Preferences and Credit Card Borrowing," American Economic Journal: Applied Economics, American Economic Association, vol. 2(1), pages 193-210, January.
    7. Robert A. Jarrow & Fan Yu, 2008. "Counterparty Risk and the Pricing of Defaultable Securities," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 20, pages 481-515, World Scientific Publishing Co. Pte. Ltd..
    8. Michael R. Roberts & Amir Sufi, 2009. "Financial Contracting: A Survey of Empirical Research and Future Directions," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 207-226, November.
    9. J. Michael Harrison & Thomas M. Sellke & Allison J. Taylor, 1983. "Impulse Control of Brownian Motion," Mathematics of Operations Research, INFORMS, vol. 8(3), pages 454-466, August.
    10. Eric Rosenberg & Alan Gleit, 1994. "Quantitative Methods in Credit Management: A Survey," Operations Research, INFORMS, vol. 42(4), pages 589-613, August.
    11. Irina A. Telyukova & Randall Wright, 2008. "A Model of Money and Credit, with Application to the Credit Card Debt Puzzle," Review of Economic Studies, Oxford University Press, vol. 75(2), pages 629-647.
    12. Carol C. Bertaut & Michael Haliassos & Michael Reiter, 2009. "Credit Card Debt Puzzles and Debt Revolvers for Self Control," Review of Finance, European Finance Association, vol. 13(4), pages 657-692.
    13. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    14. Vicky Henderson & David Hobson, 2008. "An explicit solution for an optimal stopping/optimal control problem which models an asset sale," Papers 0806.4061, arXiv.org, revised Nov 2008.
    15. Haolin Feng & Kumar Muthuraman, 2010. "A Computational Method for Stochastic Impulse Control Problems," Mathematics of Operations Research, INFORMS, vol. 35(4), pages 830-850, November.
    16. Weber, Thomas A., 2011. "Optimal Control Theory with Applications in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262015730, December.
    17. Bar-Ilan, Avner, 1990. "Overdrafts and the Demand for Money," American Economic Review, American Economic Association, vol. 80(5), pages 1201-1216, December.
    18. Dixit, Avinash, 1991. "A simplified treatment of the theory of optimal regulation of Brownian motion," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 657-673, October.
    19. Naveed Chehrazi & Thomas A. Weber, 2015. "Dynamic Valuation of Delinquent Credit-Card Accounts," Management Science, INFORMS, vol. 61(12), pages 3077-3096, December.
    20. Thomas, Lyn C., 2000. "A survey of credit and behavioural scoring: forecasting financial risk of lending to consumers," International Journal of Forecasting, Elsevier, vol. 16(2), pages 149-172.
    21. Guo, Xin & Miao, Jianjun & Morellec, Erwan, 2005. "Irreversible investment with regime shifts," Journal of Economic Theory, Elsevier, vol. 122(1), pages 37-59, May.
    22. Aït-Sahalia, Yacine & Cacho-Diaz, Julio & Laeven, Roger J.A., 2015. "Modeling financial contagion using mutually exciting jump processes," Journal of Financial Economics, Elsevier, vol. 117(3), pages 585-606.
    23. Raquel Fernandez & Robert W. Rosenthal, 1990. "Strategic Models of Sovereign-Debt Renegotiations," Review of Economic Studies, Oxford University Press, vol. 57(3), pages 331-349.
    24. Leon H. Liebman, 1972. "A Markov Decision Model for Selecting Optimal Credit Control Policies," Management Science, INFORMS, vol. 18(10), pages 519-525, June.
    25. Harold Bierman, Jr. & Warren H. Hausman, 1970. "The Credit Granting Decision," Management Science, INFORMS, vol. 16(8), pages 519-532, April.
    26. Crook, Jonathan N. & Edelman, David B. & Thomas, Lyn C., 2007. "Recent developments in consumer credit risk assessment," European Journal of Operational Research, Elsevier, vol. 183(3), pages 1447-1465, December.
    27. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, Oxford University Press, vol. 112(2), pages 443-478.
    28. Margaret S. Trench & Shane P. Pederson & Edward T. Lau & Lizhi Ma & Hui Wang & Suresh K. Nair, 2003. "Managing Credit Lines and Prices for Bank One Credit Cards," Interfaces, INFORMS, vol. 33(5), pages 4-21, October.
    29. Lizhen Xu & Jason A. Duan & Andrew Whinston, 2014. "Path to Purchase: A Mutually Exciting Point Process Model for Online Advertising and Conversion," Management Science, INFORMS, vol. 60(6), pages 1392-1412, June.
    30. Yang, Hailiang & Zhang, Lihong, 2005. "Optimal investment for insurer with jump-diffusion risk process," Insurance: Mathematics and Economics, Elsevier, vol. 37(3), pages 615-634, December.
    31. L C Thomas & R W Oliver & D J Hand, 2005. "A survey of the issues in consumer credit modelling research," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(9), pages 1006-1015, September.
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