Risk-Based Loan Pricing: Portfolio Optimization Approach with Marginal Risk Contribution

Published Online:https://doi.org/10.1287/mnsc.2019.3378

References

  • Abiad A, Detragiache E, Tressel T (2008) A new database of financial reforms. Working Paper No. 2008-2266, International Monetary Fund, Washington, DC.Google Scholar
  • Andersson F, Mausser H, Rosen D, Uryasev S (2001) Credit risk optimization with conditional value-at-risk criterion. Math. Programming 89(2):273–291.CrossrefGoogle Scholar
  • Avriel M, Diewert W, Schaible S, Ziang I (2010) Generalized Concavity, Classics in Applied Mathematics, vol. 63 (Society for Industrial and Applied Mathematics, Philadelphia).CrossrefGoogle Scholar
  • Basel Committee on Banking Supervision (2006) International convergence of capital measurement and capital standards: a revised framework. Report, Bank for International Settlements, Basel, Switzerland.Google Scholar
  • Basel Committee on Banking Supervision (2013) Fundamental review of the trading book: a revised market risk framework. Report, Bank for International Settlements, Basel, Switzerland.Google Scholar
  • Besbes O, Phillips R, Zeevi A (2010) Testing the validity of a demand model: An operations perspective. Manufacturing Service Oper. Management 12(1):162–183.LinkGoogle Scholar
  • Biery ME (2016) Loan-pricing models: What to consider for loan origination. Sageworks. Accessed May 20, 2017, https://www.sageworks.com/blog/post/2016/01/29/loan-pricing-models-what-banks-need-to-consider.aspx.Google Scholar
  • Bostic RW (2002) Trends in equal access to credit products. The Impact of Public Policy on Consumer Credit (Springer, Boston), 171–208.Google Scholar
  • Bruche M, Gonzalez-Aguado C (2010) Recovery rates, default probabilities, and the credit cycle. J. Banking Finance 34(4):754–764.CrossrefGoogle Scholar
  • Burer SA, Letchford A (2012) Non-convex mixed-integer nonlinear programming: A survey. Surveys Oper. Res. Management Sci. 17(2):97–106.CrossrefGoogle Scholar
  • Caufield S (2012) Consumer credit pricing. Özer Ö, Phillips R, eds. The Oxford Handbook of Pricing Management (Oxford University Press, Oxford, UK), 138–152.Google Scholar
  • Cohen MC, Leung NHZ, Panchamgam K, Perakis G, Smith A (2017) The impact of linear optimization on promotion planning. Oper. Res. 65(2):446–468.LinkGoogle Scholar
  • Cui X, Zhu S, Li D, Sun X (2016) Mean-variance portfolio optimization with parameter sensitivity control. Optim. Methods Software 31(4):755–774.CrossrefGoogle Scholar
  • De Finetti B (1949) Sulle stratificazioni convesse. Annali di Matematica Pura ed Applicata 30(1):123–183.Google Scholar
  • DeMiguel V, Garlappi L, Nogales FJ, Uppal R (2009) A generalized approach to portfolio optimization: Improving performance by constraining portfolio norms. Management Sci. 55(5):798–812.LinkGoogle Scholar
  • Emmons H, Gilbert SM (1998) Note: The role of returns policies in pricing and inventory decisions for catalogue goods. Management Sci. 44(2):276–283.LinkGoogle Scholar
  • Esfahani P, Kuhn D (2018) Data-driven distributionally robust optimization using the Wasserstein metric: Performance guarantees and tractable reformulations. Math. Programming 171(1–2):115–166.CrossrefGoogle Scholar
  • Fenchel W (1951) Convex Cones, Sets and Functions. Mimeographed Lecture Notes (Princeton University, Princeton, NJ).Google Scholar
  • Glasserman P (2006) Measuring marginal risk contributions in credit portfolios. J. Comput. Finance 9(2):1–41.CrossrefGoogle Scholar
  • Glasserman P, Li J (2005) Importance sampling for portfolio credit risk. Management Sci. 51(11):1643–1656.LinkGoogle Scholar
  • Glasserman P, Kang W, Shahabuddin P (2008) Fast simulation of multifactor portfolio credit risk. Oper. Res. 56(5):1200–1217.LinkGoogle Scholar
  • Gourieroux C, Laurent JP, Scaillet O (2000) Sensitivity analysis of values at risk. J. Empirical Finance 7(3–4):225–245.CrossrefGoogle Scholar
  • Goyal D, Karthikeyan S, Kulkarni V, Noguera V, Wachters I (2016) “Moneyball” in commercial lending: From art to science in pricing. Boston Consulting Group Perspective. Accessed June 19, 2017, https://www.bcgperspectives.com/content/articles/financial-institutions-moneyball-pricing-commercial-loans/.Google Scholar
  • Gross D, Souleles N (2002) Do liquidity constraints and interest rates matter for consumer behavior? Evidence from credit card data. Quart. J. Econom. 117(1):149–185.CrossrefGoogle Scholar
  • Gupton GM, Stein RM, Salaam A, Bren D (2002) LOSSCALCTM: Model for Predicting Loss Given Default (LGD) (Moody’s KMV, New York).Google Scholar
  • Huang B, Thomas LC (2015) The impact of Basel accords on the lender’s profitability under different pricing decisions. J. Oper. Res. Soc. 66(11):1826–1839.CrossrefGoogle Scholar
  • Johnson R (1992) Legal, social and economic issues in implementing scoring in the United States. Crook J, Edelman D, Thomas L, eds. Credit Scoring and Credit Control (Oxford University Press, New York), 5–15.Google Scholar
  • Kalkbrener M, Lotter H, Overbeck L (2004) Sensible and efficient asset allocation for credit portfolios. Risk 17:19–24.Google Scholar
  • Kataoka S (1963) A stochastic programming model. Econometrica 31(1–2):181–196.CrossrefGoogle Scholar
  • Kim S, Pasupathy R, Henderson SG (2015) A guide to sample average approximation. Fu MC, ed. Handbook of Simulation Optimization (Springer, New York), 207–243.Google Scholar
  • Kimber A (2003) Credit Risk: From Transaction to Portfolio Management (Butterworth-Heinemann, Oxford, UK).Google Scholar
  • Kleywegt AJ, Shapiro A, Homem-de Mello T (2002) The sample average approximation method for stochastic discrete optimization. SIAM J. Optim. 12(2):479–502.CrossrefGoogle Scholar
  • Krokhmal P, Palmquist J, Uryasev S (2002) Portfolio optimization with conditional value-at-risk objective and constraints. J. Risk 4(2):43–68.CrossrefGoogle Scholar
  • Lejeune MA (2017) Stochastic optimization investment models with portfolio and marginal risk constraints. Ahmed S, Anjos M, Terlaky T, eds. Advances and Trends in Optimization with Engineering Applications (SIAM, Philadelphia), 427–436.CrossrefGoogle Scholar
  • Lejeune MA, Margot F (2016) Solving chance constrained problems with random technology matrix and stochastic quadratic inequalities. Oper. Res. 64(4):939–957.LinkGoogle Scholar
  • Lejeune MA, Samatli-Pac G (2013) Construction of risk-averse enhanced index funds. INFORMS J. Comput. 25(4):701–719.LinkGoogle Scholar
  • Li D, Sun XL, Biswal MP, Gao F (2001) Convexification, concavification and monotonization in global optimization. Ann. Oper. Res. 105(1–4):213–226.CrossrefGoogle Scholar
  • Liu G (2015) Simulating risk contributions of credit portfolios. Oper. Res. 63(1):104–121.LinkGoogle Scholar
  • Magri S, Pico R (2011) The rise of risk-based pricing of mortgage interest rates in Italy. J. Banking Finance 35(5):1277–1290.CrossrefGoogle Scholar
  • McCormick GP (1976) Computability of global solutions to factorable nonconvex programs: Part I: Convex underestimating problems. Math. Programming 10(1):147–175.CrossrefGoogle Scholar
  • Musto D, Souleles N (2006) A portfolio view of consumer credit. J. Monetary Econom. 53(1):59–84.CrossrefGoogle Scholar
  • Oliver BV, Oliver RM (2014) Optimal ROE loan pricing with or without adverse selection. J. Oper. Res. Soc. 65(3):435–442.CrossrefGoogle Scholar
  • Phillips R (2005) Pricing and Revenue Optimization (Stanford University Press, Palo Alto, CA).CrossrefGoogle Scholar
  • Phillips R (2013) Optimizing prices for consumer credit. J. Revenue Pricing Management 12(4):360–377.CrossrefGoogle Scholar
  • Prékopa A (1995) Stochastic Programming (Kluwer, Boston).CrossrefGoogle Scholar
  • PricewaterhouseCoopers (2012) Enhancing origination revenue through price optimization modeling. Accessed June 19, 2017, http://www.pwc.com/us/en/consumer-finance/publications/loan-origination-price-optimization-modeling.html.Google Scholar
  • Schuermann T (2004) Why were banks better off in the 2001 recession? Current Issues Econom. Finance 10(1):1–7.Google Scholar
  • Stanhouse B, Stock D (2008) Managing the risk of loan prepayments and the optimal structure of short term lending rates. Ann. Finance 4(2):197–215.CrossrefGoogle Scholar
  • Tasche D (2009) Capital allocation for credit portfolios with kernel estimators. Quant. Finance 9(5):581–595.CrossrefGoogle Scholar
  • Thomas LC (2009) Consumer Credit Models (Oxford University Press, New York).CrossrefGoogle Scholar
  • Yu J-R, Chiou W-J, Mu D-R (2015) A linearized value-at-risk model with transaction costs and short selling. Eur. J. Oper. Res. 247(3):872–878.CrossrefGoogle Scholar
  • Zhu S, Li D, Sun X (2010) Portfolio selection with marginal risk control. J. Comput. Finance 14(1):3–28.CrossrefGoogle Scholar
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