{
  "id": "2206.03116",
  "version": "v1",
  "published": "2022-06-07T08:50:15.000Z",
  "updated": "2022-06-07T08:50:15.000Z",
  "title": "Optimal consumption and life insurance under shortfall aversion and a drawdown constraint",
  "authors": [
    "Xun Li",
    "Xiang Yu",
    "Qinyi Zhang"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:2108.02648",
  "categories": [
    "math.OC"
  ],
  "abstract": "This paper studies a life-cycle optimal portfolio-consumption problem when the consumption performance is measured by a shortfall aversion preference subjecting to an additional drawdown constraint on consumption rate. Meanwhile, the agent also dynamically chooses her life insurance premium to maximize the expected bequest at the death time. By using dynamic programming arguments and the dual transform, we solve the HJB variational inequality explicitly in a piecewise form across different regions and derive some thresholds of the wealth variable for the piecewise optimal feedback controls. Taking advantage of our analytical results, we are able to numerically illustrate some quantitative impacts on optimal consumption and life insurance by model parameters and discuss their financial implications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-07T08:50:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "optimal consumption",
      "life-cycle optimal portfolio-consumption problem",
      "shortfall aversion preference",
      "additional drawdown constraint",
      "life insurance premium"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}