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A Stochastic Simulation Framework for the Government of Canada's Debt Strategy

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  • David Bolder

Abstract

Debt strategy is defined as the manner in which a government finances an excess of government expenditures over revenues and any maturing debt issued in previous periods. The author gives a thorough qualitative description of the complexities of debt strategy analysis and then demonstrates that it is, in fact, a problem in stochastic optimal control. Although this formal definition is conceptually useful, the author recommends the use of simulation to help characterize the set of strategies that a government can use to fund its borrowing requirements. He then describes in detail a stochastic simulation framework, building from previous work in Bolder (2001, 2002); this framework forms one important element in the debt strategy decision-making process employed by the Government of Canada. The primary objective in constructing this stochastic simulation framework is to learn about the nature of the risk and cost trade-offs associated with different financing strategies. To this end, the paper includes a detailed description of the model; a set of possible debt cost and risk measures, including one potentially useful conditional risk measure; illustrative results under normal stochastic conditions; an analysis of the sensitivity of the results to various key model parameters; a novel approach to stress testing; and a possible framework for selecting a financing strategy, given assumptions about government risk preferences.

Suggested Citation

  • David Bolder, 2003. "A Stochastic Simulation Framework for the Government of Canada's Debt Strategy," Staff Working Papers 03-10, Bank of Canada.
  • Handle: RePEc:bca:bocawp:03-10
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    References listed on IDEAS

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    Cited by:

    1. 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.
    2. 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.
    3. Thordur Jonasson & Mr. Michael G. Papaioannou, 2018. "A Primer on Managing Sovereign Debt-Portfolio Risks," IMF Working Papers 2018/074, International Monetary Fund.
    4. 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.
    5. 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.
    6. Melecky, Martin, 2012. "Formulation of public debt management strategies: An empirical study of possible drivers," Economic Systems, Elsevier, vol. 36(2), pages 218-234.
    7. Elisa Faraglia & Albert Marcet & Andrew Scott, 2008. "Fiscal Insurance and Debt Management in OECD Economies," Economic Journal, Royal Economic Society, vol. 118(527), pages 363-386, March.
    8. Martin Melecky, 2012. "Choosing The Currency Structure Of Foreign‐Currency Debt: A Review Of Policy Approaches," Journal of International Development, John Wiley & Sons, Ltd., vol. 24(2), pages 133-151, March.
    9. 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.
    10. Jason Allen & Jakub Kastl & Milena Wittwer, 2020. "Maturity Composition and the Demand for Government Debt," Staff Working Papers 20-29, Bank of Canada.
    11. Christopher Cameron, 2018. "Visualizing Treasury Issuance Strategy," Papers 1802.03376, arXiv.org, revised Feb 2020.
    12. Hans J Blommestein & Anja Hubig, 2012. "Is the standard micro portfolio approach to sovereign debt management still appropriate?," BIS Papers chapters, in: Bank for International Settlements (ed.), Threat of fiscal dominance?, volume 65, pages 141-155, Bank for International Settlements.
    13. Jason Allen & Jakub Kastl & Milena Wittwer, 2020. "Primary Dealers and the Demand for Government Debt," Working Papers 2020-27, Princeton University. Economics Department..
    14. Michael G. Papaioannou, 2009. "Exchange Rate Risk Measurement and Management: Issues and Approaches for Public Debt Managers," South-Eastern Europe Journal of Economics, Association of Economic Universities of South and Eastern Europe and the Black Sea Region, vol. 7(1), pages 7-34.
    15. Renne, J-P., 2009. "Frequency-domain analysis of debt service in a macro-finance model for the euro area," Working papers 261, Banque de France.
    16. David Bolder & Tiago Rubin, 2007. "Optimization in a Simulation Setting: Use of Function Approximation in Debt Strategy Analysis," Staff Working Papers 07-13, Bank of Canada.
    17. 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.
    18. 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.
    19. Ruicheng Yang & Li Li & Qi Jiang & Ji Qi, 2022. "Optimal bond issuance with cost and liquidity constraints for Chinese local governments: a multi-period stochastic programming approach," Empirical Economics, Springer, vol. 63(5), pages 2605-2632, November.
    20. 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.
    21. Farhan Akbar & Thierry Chauveau, 2009. "An Analysis of Exchange Rate Risk Exposure Related to Public Debt Portfolio of Pakistan: Beyond Delta-Normal VAR Approach," SBP Working Paper Series 30, State Bank of Pakistan, Research Department.

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    More about this item

    Keywords

    Debt management; Econometric and statistical methods; Economic models;
    All these keywords.

    JEL classification:

    • C0 - Mathematical and Quantitative Methods - - General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • H63 - Public Economics - - National Budget, Deficit, and Debt - - - Debt; Debt Management; Sovereign Debt

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