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A multistage linear stochastic programming model for optimal corporate debt management

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  • Valladão, Davi M.
  • Veiga, Álvaro
  • Veiga, Geraldo

Abstract

Large corporations fund their capital and operational expenses by issuing bonds with a variety of indexations, denominations, maturities and amortization schedules. We propose a multistage linear stochastic programming model that optimizes bond issuance by minimizing the mean funding cost while keeping leverage under control and insolvency risk at an acceptable level. The funding requirements are determined by a fixed investment schedule with uncertain cash flows. Candidate bonds are described in a detailed and realistic manner. A specific scenario tree structure guarantees computational tractability even for long horizon problems. Based on a simplified example, we present a sensitivity analysis of the first stage solution and the stochastic efficient frontier of the mean-risk trade-off. A realistic exercise stresses the importance of controlling leverage. Based on the proposed model, a financial planning tool has been implemented and deployed for Brazilian oil company Petrobras.

Suggested Citation

  • Valladão, Davi M. & Veiga, Álvaro & Veiga, Geraldo, 2014. "A multistage linear stochastic programming model for optimal corporate debt management," European Journal of Operational Research, Elsevier, vol. 237(1), pages 303-311.
    • Handle: RePEc:eee:ejores:v:237:y:2014:i:1:p:303-311
    DOI: 10.1016/j.ejor.2014.01.028
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    Cited by:

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    2. Dimitris Andriosopoulos & Michalis Doumpos & Panos M. Pardalos & Constantin Zopounidis, 2019. "Computational approaches and data analytics in financial services: A literature review," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(10), pages 1581-1599, October.
    3. Duarte, Thiago B. & Valladão, Davi M. & Veiga, Álvaro, 2017. "Asset liability management for open pension schemes using multistage stochastic programming under Solvency-II-based regulatory constraints," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 177-188.
    4. Davi Michel Valladão & Álvaro Veiga & Alexandre Street, 2018. "A Linear Stochastic Programming Model for Optimal Leveraged Portfolio Selection," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 1021-1032, April.
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    7. Jin, Man & Zhao, Shunan & Kumbhakar, Subal C., 2019. "Financial constraints and firm productivity: Evidence from Chinese manufacturing," European Journal of Operational Research, Elsevier, vol. 275(3), pages 1139-1156.
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