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Effect of Labour Income on the Optimal Bankruptcy Problem

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  • Guodong Ding
  • Daniele Marazzina

Abstract

In this paper we deal with the optimal bankruptcy problem for an agent who can optimally allocate her consumption rate, the amount of capital invested in the risky asset as well as her leisure time. In our framework, the agent is endowed by an initial debt, and she is required to repay her debt continuously. Declaring bankruptcy, the debt repayment is exempted at the cost of a wealth shrinkage. We implement the duality method to solve the problem analytically and conduct a sensitivity analysis to the cost and benefit parameters of bankruptcy. Introducing the flexible leisure/working rate, and therefore the labour income, into the bankruptcy model, we investigate its effect on the optimal strategies.

Suggested Citation

  • Guodong Ding & Daniele Marazzina, 2021. "Effect of Labour Income on the Optimal Bankruptcy Problem," Papers 2106.15426, arXiv.org.
    • Handle: RePEc:arx:papers:2106.15426
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    References listed on IDEAS

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    1. Monique Jeanblanc & Peter Lakner & Ashay Kadam, 2004. "Optimal Bankruptcy Time and Consumption/Investment Policies on an Infinite Horizon with a Continuous Debt Repayment Until Bankruptcy," Mathematics of Operations Research, INFORMS, vol. 29(3), pages 649-671, August.
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    Cited by:

    1. Ding, Guodong & Marazzina, Daniele, 2022. "The impact of liquidity constraints and cashflows on the optimal retirement problem," Finance Research Letters, Elsevier, vol. 49(C).
    2. Guodong Ding & Daniele Marazzina, 2021. "Sensitivity of Optimal Retirement Problem to Liquidity Constraints," Papers 2108.09035, arXiv.org.

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