Multi-period asset-liability management with cash flows and probability constraints: A mean-field formulation approach

Xun Li, Xianping Wu, Haixiang Yao

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)


Using a multi-period mean-variance model, we investigate an asset-liability portfolio management problem with probability constraints, where an investor intends to control the probability of bankruptcy before the terminal time in the investment. In our model, the wealth process is influenced not only by return on assets and liability but also by uncontrolled cash flows. Applying a mean-field formulation, we obtain closed-form expressions for an efficient investment strategy and its corresponding mean-variance efficient frontier. Sensitivity analysis is also presented to help investors understand the influences of cash flows and probability constraints better.

Original languageEnglish
Pages (from-to)1-19
Number of pages19
JournalJournal of the Operational Research Society
Publication statusPublished - 14 Jun 2019


  • asset-liability management
  • cash flow
  • Mean-field formulation
  • multi-period mean-variance model
  • probability constraints

ASJC Scopus subject areas

  • Management Information Systems
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing

Cite this