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Repayment policy for multiple loans.

Yasmin Agueda Rios-Solis1, Mario Alberto Saucedo-Espinosa2, Gabriel Arturo Caballero-Robledo3

  • 1Systems Engineering, Universidad Autónoma de Nuevo León, Monterrey, Nuevo León, Mexico.

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Summary
This summary is machine-generated.

This study introduces an optimal loan repayment strategy using mixed integer linear programming. It demonstrates significant savings compared to traditional methods like debt snowball, reducing total repayment costs.

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Area of Science:

  • Operations Research
  • Financial Mathematics

Background:

  • Managing multiple loans with a fixed income presents a complex financial challenge.
  • Existing repayment strategies (e.g., highest interest, debt snowball) are widely used but may not be financially optimal.

Purpose of the Study:

  • To address the long-standing open question of optimal loan repayment scheduling for multiple debts.
  • To develop and validate a computationally efficient model for minimizing total repayment costs.

Main Methods:

  • Formulation of a mixed integer linear programming (MILP) model to determine the optimal allocation of monthly cash flow for loan repayment.
  • Analysis of the computational complexity associated with the multiple loans repayment problem.

Main Results:

  • The proposed MILP model provides an optimal repayment schedule that minimizes total cash outflow.
  • Demonstrated that common strategies like highest interest debt and debt snowball are suboptimal.
  • Experimental results show average savings of over 4%, with potential savings up to 40%.

Conclusions:

  • The MILP model offers a superior approach to managing multiple loan repayments compared to conventional methods.
  • Significant financial benefits can be achieved by adopting this optimized repayment strategy.