IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v193y2012i1p159-17210.1007-s10479-010-0755-5.html
   My bibliography  Save this article

A stochastic programming model for the optimal issuance of government bonds

Author

Listed:
  • Andrea Consiglio
  • Alessandro Staino

Abstract

Sovereign states issue fixed and floating securities to fund their public debt. The value of such portfolios strongly depends on the fluctuations of the term structure of interest rates. This is a typical example of planning under uncertainty, where decisions have to be taken on the base of the key stochastic economic factors underneath the model. We propose a multistage stochastic programming model to select portfolios of bonds, where the aim of the decision maker is to minimize the cost of the decision process. At the same time, we bound the conditional Value-at-Risk, a measure of risk which accounts for the losses of the tail distribution. We build an efficient frontier to trade-off the optimal cost versus the conditional Value-at-Risk and analyze the results obtained. Copyright Springer Science+Business Media, LLC 2012

Suggested Citation

  • Andrea Consiglio & Alessandro Staino, 2012. "A stochastic programming model for the optimal issuance of government bonds," Annals of Operations Research, Springer, vol. 193(1), pages 159-172, March.
  • Handle: RePEc:spr:annopr:v:193:y:2012:i:1:p:159-172:10.1007/s10479-010-0755-5
    DOI: 10.1007/s10479-010-0755-5
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10479-010-0755-5
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10479-010-0755-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Marida Bertocchi & Vittorio Moriggia & Jitka Dupačová, 2006. "Horizon and stages in applications of stochastic programming in finance," Annals of Operations Research, Springer, vol. 142(1), pages 63-78, February.
    2. Andrea Consiglio & Stavros A. Zenios, 1999. "Designing Portfolios of Financial Products via Integrated Simulation and Optimization Models," Operations Research, INFORMS, vol. 47(2), pages 195-208, April.
    3. Kenneth J. Worzel & Christiana Vassiadou-Zeniou & Stavros A. Zenios, 1994. "Integrated Simulation and Optimization Models for Tracking Indices of Fixed-Income Securities," Operations Research, INFORMS, vol. 42(2), pages 223-233, April.
    4. Zenios, Stavros A. & Holmer, Martin R. & McKendall, Raymond & Vassiadou-Zeniou, Christiana, 1998. "Dynamic models for fixed-income portfolio management under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 22(10), pages 1517-1541, August.
    5. David Bolder, 2003. "A Stochastic Simulation Framework for the Government of Canada's Debt Strategy," Staff Working Papers 03-10, Bank of Canada.
    6. Robert J. Barro, 1995. "Optimal Debt Management," NBER Working Papers 5327, National Bureau of Economic Research, Inc.
    7. Jitka Dupačová & Giorgio Consigli & Stein Wallace, 2000. "Scenarios for Multistage Stochastic Programs," Annals of Operations Research, Springer, vol. 100(1), pages 25-53, December.
    8. Massimiliano Adamo & Anna Lisa Amadori & Massimo Bernaschi & Claudia La Chioma & Alessia Marigo & Benedetto Piccoli & Simone Sbaraglia & Adamo Uboldi & Davide Vergni & Paola Fabbri & Davide Iacovoni &, 2004. "Optimal Strategies For The Issuances Of Public Debt Securities," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 7(07), pages 805-822.
    9. David Bolder, 2008. "The Canadian Debt-Strategy Model," Bank of Canada Review, Bank of Canada, vol. 2008(Summer), pages 5-18.
    10. Rockafellar, R. Tyrrell & Uryasev, Stanislav, 2002. "Conditional value-at-risk for general loss distributions," Journal of Banking & Finance, Elsevier, vol. 26(7), pages 1443-1471, July.
    11. Massimo Bernaschi & Maya Briani & Marco Papi & Davide Vergni, 2007. "Scenario-generation methods for an optimal public debt strategy," Quantitative Finance, Taylor & Francis Journals, vol. 7(2), pages 217-229.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Libo Yin & Liyan Han, 2013. "Options strategies for international portfolios with overall risk management via multi-stage stochastic programming," Annals of Operations Research, Springer, vol. 206(1), pages 557-576, July.
    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. Christopher Cameron, 2018. "Visualizing Treasury Issuance Strategy," Papers 1802.03376, arXiv.org, revised Feb 2020.
    4. Balibek, Emre & Memis, Hamdi Alper, 2012. "Turkish treasury simulation model for debt strategy analysis," Policy Research Working Paper Series 6091, The World Bank.
    5. Consiglio Andrea & Zenios Stavros A., 2015. "Risk Management Optimization for Sovereign Debt Restructuring," Journal of Globalization and Development, De Gruyter, vol. 6(2), pages 181-213, December.
    6. Mansini, Renata & Ogryczak, Wlodzimierz & Speranza, M. Grazia, 2014. "Twenty years of linear programming based portfolio optimization," European Journal of Operational Research, Elsevier, vol. 234(2), pages 518-535.
    7. Adedoyin Isola Lawal, 2014. "Tactical Assets Allocation: Evidence from the Nigerian Banking Industry," Acta Universitatis Danubius. OEconomica, Danubius University of Galati, issue 10(2), pages 193-204, April.
    8. Marialena Athanasopoulou & Andrea Consiglio & Aitor Erce & Angel Gavilan & Edmund Moshammer & Stavros A. Zenios, 2019. "Risk Management for Sovereign Debt Financing with Sustainability Conditions," Globalization Institute Working Papers 367, Federal Reserve Bank of Dallas.
    9. Maurizio Bovi & Roy Cerqueti, 2016. "Forecasting macroeconomic fundamentals in economic crises," Annals of Operations Research, Springer, vol. 247(2), pages 451-469, December.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Michele Manna & Emmanuela Bernardini & Mauro Bufano & Davide Dottori, 2013. "Modelling public debt strategies," Questioni di Economia e Finanza (Occasional Papers) 199, Bank of Italy, Economic Research and International Relations Area.
    2. Balibek, Emre & Köksalan, Murat, 2010. "A multi-objective multi-period stochastic programming model for public debt management," European Journal of Operational Research, Elsevier, vol. 205(1), pages 205-217, August.
    3. Blomvall, Jörgen & Hagenbjörk, Johan, 2022. "Reducing transaction costs for interest rate risk hedging with stochastic programming," European Journal of Operational Research, Elsevier, vol. 302(3), pages 1282-1293.
    4. Stavros A. Zenios & Andrea Consiglio & Marialena Athanasopoulou & Edmund Moshammer & Angel Gavilan & Aitor Erce, 2021. "Risk Management for Sustainable Sovereign Debt Financing," Operations Research, INFORMS, vol. 69(3), pages 755-773, May.
    5. Robert Ferstl & Alex Weissensteiner, 2010. "Backtesting short-term treasury management strategies based on multi-stage stochastic programming," Journal of Asset Management, Palgrave Macmillan, vol. 11(2), pages 94-112, June.
    6. Johannes Holler, 2013. "Funding Strategies of Sovereign Debt Management: A Risk Focus," Monetary Policy & the Economy, Oesterreichische Nationalbank (Austrian Central Bank), issue 2, pages 51-74.
    7. Blomvall, Jorgen & Lindberg, Per Olov, 2003. "Back-testing the performance of an actively managed option portfolio at the Swedish Stock Market, 1990-1999," Journal of Economic Dynamics and Control, Elsevier, vol. 27(6), pages 1099-1112, April.
    8. Staino, Alessandro & Russo, Emilio, 2015. "A moment-matching method to generate arbitrage-free scenarios," European Journal of Operational Research, Elsevier, vol. 246(2), pages 619-630.
    9. Toso, Eli Angela V. & Alem, Douglas, 2014. "Effective location models for sorting recyclables in public management," European Journal of Operational Research, Elsevier, vol. 234(3), pages 839-860.
    10. Robert Ferstl & Alex Weissensteiner, 2010. "Cash management using multi-stage stochastic programming," Quantitative Finance, Taylor & Francis Journals, vol. 10(2), pages 209-219.
    11. Bakker, Hannah & Dunke, Fabian & Nickel, Stefan, 2020. "A structuring review on multi-stage optimization under uncertainty: Aligning concepts from theory and practice," Omega, Elsevier, vol. 96(C).
    12. Massimo BERNASCHI & Alessandro MISSALE & Davide VERGNI, 2009. "Should governments minimize debt service cost and risk? A closer look at the debt strategy. Simulation approach," Departmental Working Papers 2009-53, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano.
    13. Baghdassarian, William & Mele, Gianluca & Pradelli, Juan, 2014. "Assessing public debt sustainability in Mauritania with a stochastic framework," Policy Research Working Paper Series 7088, The World Bank.
    14. Topaloglou, Nikolas & Vladimirou, Hercules & Zenios, Stavros A., 2008. "A dynamic stochastic programming model for international portfolio management," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1501-1524, March.
    15. Audrius Kabašinskas & Francesca Maggioni & Kristina Šutienė & Eimutis Valakevičius, 2019. "A multistage risk-averse stochastic programming model for personal savings accrual: the evidence from Lithuania," Annals of Operations Research, Springer, vol. 279(1), pages 43-70, August.
    16. Andrea Consiglio & Somayyeh Lotfi & Stavros A. Zenios, 2018. "Portfolio diversification in the sovereign credit swap markets," Annals of Operations Research, Springer, vol. 266(1), pages 5-33, July.
    17. Xiaojia Guo & Alexandros Beskos & Afzal Siddiqui, 2016. "The natural hedge of a gas-fired power plant," Computational Management Science, Springer, vol. 13(1), pages 63-86, January.
    18. Bernaschi, Massimo & Tacconi, Elisa & Vergni, Davide, 2008. "A parametric study of the term structure dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1264-1272.
    19. Date, P. & Canepa, A. & Abdel-Jawad, M., 2011. "A mixed integer linear programming model for optimal sovereign debt issuance," European Journal of Operational Research, Elsevier, vol. 214(3), pages 749-758, November.
    20. Diana Barro & Elio Canestrelli, 2014. "Downside risk in multiperiod tracking error models," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 22(2), pages 263-283, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:annopr:v:193:y:2012:i:1:p:159-172:10.1007/s10479-010-0755-5. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.