Solving the mean–variance customer portfolio in Markov chains using iterated quadratic/Lagrange programming: A credit-card customer limits approach

作者:

Highlights:

• We propose a two-step iterated quadratic/Lagrange programming approach.

• It handles linearly constraints like the budget, and the risk-aversion parameter.

• We prove the convergence of the method.

• We provide all the details needed to implement the algorithm.

• The effectiveness of the method is proved by a credit-card limit example for a bank.

摘要

•We propose a two-step iterated quadratic/Lagrange programming approach.•It handles linearly constraints like the budget, and the risk-aversion parameter.•We prove the convergence of the method.•We provide all the details needed to implement the algorithm.•The effectiveness of the method is proved by a credit-card limit example for a bank.

论文关键词:Mean–variance portfolio,Quadratic Lagrange programming,Credit-card portfolios,Credit-risk management,Customer-credit limits,Markov chains,Optimization

论文评审过程:Available online 5 March 2015.

论文官网地址:https://doi.org/10.1016/j.eswa.2015.02.018