Dynamic Credit-Collections Optimization

References

• Aït-Sahalia Y, Cacho-Diaz J, Laeven RJA (2015) Modeling financial contagion using mutually exciting jump processes. J. Financial Econom. 117(3):585–606.Crossref, Google Scholar
• de Almeida Filho AT, Mues C, Thomas LC (2010) Optimizing the collections process in consumer credit. Productions Oper. Management 19(6):698–708.Crossref, Google Scholar
• Bar-Ilan A (1990) Overdrafts and the demand for money. Amer. Econom. Rev. 80(5):1201–1216.Google Scholar
• Bar-Ilan A, Maimon O (1993) An impulse-control method for investment decisions in dynamic technology. Managerial Decision Econom. 14(1):65–70.Crossref, Google Scholar
• Basel Committee on Banking Supervision (2004) International Convergence of Capital Measurement and Capital Standards: A Revised Framework (Bank for International Settlements, Basel,Switzerland).Google Scholar
• Bayraktar E, Ludkovski M (2009) Sequential tracking of a hidden Markov chain using point process observations. Stochastic Processes Appl. 119(6):1792–1822.Crossref, Google Scholar
• Bensoussan A, Lions J-L (1982) Contrôle Impulsionnel et Inéquations Quasi-Variationnelles (Dunod, Paris). [English translation: Impulse Control and Quasi-Variational Inequalities, Gauthier-Villars, Paris, 1984.]Google Scholar
• Bensoussan A, Liu RH, Sethi SP (2005) Optimality of an (s, S) policy with compound poisson and diffusion demands: A quasi-variational inequalities approach. SIAM J. Control Optim. 44(5):1650–1676.Crossref, Google Scholar
• Berge C (1963) Topological Spaces (Oliver and Boyd, London, UK). [Originally published in French: Espaces Topologiques—Fonctions Multivoques, Dunod, Paris, 1959.]Google Scholar
• Bertsekas DP (1995) Nonlinear Programming (Athena Scientific, Belmont, MA).Google Scholar
• Bertaut CC, Haliassos M (2006) Credit cards: Facts and theories. Bertola G, Disney R, Grant C, eds. The Economics of Consumer Credit (MIT Press, Cambridge, MA), 181–237.Google Scholar
• Bertaut CC, Haliassos M, Reiter M (2009) Credit card debt puzzles and debt revolvers for self control. Rev. Finance 13(4):657–692.Crossref, Google Scholar
• Bierman H, Hausman WH (1970) The credit granting decision. Management Sci. 16(8):B519–B532.Link, Google Scholar
• Brémaud P (1981) Point Processes and Queues: Martingale Dynamics (Springer, New York).Crossref, Google Scholar
• Chehrazi N, Weber TA (2010) Monotone approximation of decision problems. Oper. Res. 58(4):1158–1177.Link, Google Scholar
• Chehrazi N, Weber TA (2015) Dynamic valuation of delinquent credit-card accounts. Management Sci. 61(12):3077–3096.Link, Google Scholar
• Costa OLV, Davis MHA (1989) Impulse control of piecewise-deterministic processes. Math. Control, Signals Systems 2(3):187–206.Crossref, Google Scholar
• Crook JN, Edelman DB, Thomas LC (2007) Recent developments in consumer credit risk assessment. Eur. J. Oper. Res. 183(3):1447–1465.Crossref, Google Scholar
• Dai JG (1995) On positive Harris recurrence of multiclass queueing networks: A unified approach via fluid limit models. Ann. Appl. Probab. 5(1):49–77.Crossref, Google Scholar
• Davis MHA (1984) Piecewise-deterministic markov processes: A general class of non-diffusion stochastic models. J. Roy. Statist. Soc. (Ser. B: Methodological) 46(3):353–388.Google Scholar
• Davis MHA, Zervos M (1998) A pair of explicitly solvable singular stochastic control problems. Appl. Math. Optim. 38(3):327–352.Crossref, Google Scholar
• Davis MHA, Guo X, Wu G (2010) Impulse control of multidimensional jump diffusions. SIAM J. Control Optim. 48(8):5276–5293.Crossref, Google Scholar
• Dixit AK (1991) A simplified treatment of the theory of optimal regulation of Brownian motion. J. Econom. Dynam. Control 15(4):657–673.Crossref, Google Scholar
• Duffie D, Pan J, Singleton KJ (2000) Transform analysis and asset pricing for affine jump-diffusions. Econometrica 68(6):1343–1376.Crossref, Google Scholar
• Feng H, Muthuraman K (2010) A computational method for stochastic impulse control problems. Math. Oper. Res. 35(4):830–850.Link, Google Scholar
• Fernandez R, Rosenthal RW (1990) Strategic models of sovereign-debt renegotiations. Rev. Econom. Stud. 57(3):331–349.Crossref, Google Scholar
• FRB (2018) Charge-Off and Delinquency Rates on Loans and Leases at Commercial Banks. Federal Reserve Bank, Washington, DC, http://www.federalreserve.gov/releases/chargeoff/.Google Scholar
• Guo X, Miao H, Morellec E (2005) Irreversible investment with regime shifts. J. Econom. Theory 122(1):37–59.Crossref, Google Scholar
• Harrison JM, Sellke TM, Taylor AM (1983) Impulse control of Brownian motion. Math. Oper. Res. 8(3):454–466.Link, Google Scholar
• Hawkes AG (1971) Spectra of some self-exciting and mutually exciting point processes. Biometrica 58(1):83–90.Crossref, Google Scholar
• Henderson V, Hobson D (2008) An explicit solution for an optimal stopping/optimal control problem which models an asset sale. Ann. Appl. Probab. 18(5):1681–1705.Crossref, Google Scholar
• Jarrow R, Yu F (2001) Counterparty risk and the pricing of defaultable securities. J. Finance 56(5):1765–1799.Crossref, Google Scholar
• Karatzas I, Shreve SE (1998) Methods of Mathematical Finance (Springer, New York).Crossref, Google Scholar
• Laibson D (1997) Golden eggs and hyperbolic discounting. Quart. J. Econom. 112(2):443–477.Crossref, Google Scholar
• Liebman LH (1972) A Markov decision model for selecting optimal credit control policies. Management Sci. 10(10):B519–B525.Link, Google Scholar
• Meier S, Sprenger C (2010) Present-biased preferences and credit card borrowing. Amer. Econom. J.: Appl. Econom. 2(1):193–210.Crossref, Google Scholar
• Mitchner M, Peterson RP (1957) An operations-research study of the collection of defaulted loans. Oper. Res. 5(4):522–545.Link, Google Scholar
• Pliska SR (1975) Controlled jump processes. Stochastic Processes Appl. 3(3):259–282.Crossref, Google Scholar
• Posner MJM, Zuckerman D (1990) Optimal R&D programs in a random environment. J. Appl. Probab. 27(2):343–350.Crossref, Google Scholar
• Porter MD, White G (2012) Self-exciting hurdle models for terrorist activity. Ann. Appl. Statist. 6(1):106–124.Crossref, Google Scholar
• Roberts MR, Sufi A (2009) Financial contracting: A survey of empirical research and future directions. Annual Rev. Financial Econom. 1:207–226.Crossref, Google Scholar
• Rosenberg E, Gleit A (1994) Quantitative methods in credit management: A survey. Oper. Res. 42(4):589–613.Link, Google Scholar
• Scarf HE (1960) The optimality of (s, S) policies in the dynamic inventory problem. Arrow KJ, Karlin S, Suppes P, eds. Mathematical Methods in the Social Sciences (Stanford University Press, Stanford, CA), 196–202.Google Scholar
• Telyukova IA, Wright R (2008) A model of money and credit, with application to the credit card debt puzzle. Rev. Econom. Stud. 75(2):629–647.Crossref, Google Scholar
• Thomas LC (2000) A survey of credit and behavioral scoring: Forecasting financial risk of lending to consumers. Internat. J. Forecasting 16(2):149–172.Crossref, Google Scholar
• Thomas LC, Oliver RW, Hand DJ (2005) A survey of the issues in consumer credit modelling research. J. Oper. Res. Soc. 56(9):1006–1015.Crossref, Google Scholar
• Thorisson H (2000) Coupling, Stationarity, and Regeneration (Springer, New York).Crossref, Google Scholar
• Trench MS, Pederson SP, Lau ET, Ma L, Wang H, Nair SK (2003) Managing credit lines and prices for bank one credit cards. Interfaces 33(5):4–21.Link, Google Scholar
• Weber TA (2011) Optimal Control Theory with Applications in Economics (MIT Press, Cambridge, MA).Crossref, Google Scholar
• Xu L, Duan JA, Whinston AB (2014) Path to purchase: A mutually exciting point process model for online advertising and conversion. Management Sci. 60(6):1392–1412.Link, Google Scholar
• Yang H, Zhang L (2005) Optimal investment for insurer with jump-diffusion risk process. Insurance: Math. Econom. 37(3):615–634.Crossref, Google Scholar