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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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    1. Derek Hermanutz & Chris Matier, "undated". "Modelling Federal Finances under Uncertainty," Working Papers-Department of Finance Canada 2000-02, Department of Finance Canada.
    2. Léonard,Daniel & Long,Ngo van, 1992. "Optimal Control Theory and Static Optimization in Economics," Cambridge Books, Cambridge University Press, number 9780521331586.
    3. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    4. David Bolder & Scott Gusba, 2002. "Exponentials, Polynomials, and Fourier Series: More Yield Curve Modelling at the Bank of Canada," Staff Working Papers 02-29, Bank of Canada.
    5. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    6. Doug Hostland & Chris Matier, "undated". "An examination of alternative Strategies for Reducing Public Debt in the Presence of Uncertainty," Working Papers-Department of Finance Canada 2001-12, Department of Finance Canada.
    7. David Bolder, 2001. "Affine Term-Structure Models: Theory and Implementation," Staff Working Papers 01-15, Bank of Canada.
    8. Douglas Hostland, "undated". "Monetary Policy and Medium-Term Fiscal Planning," Working Papers-Department of Finance Canada 2001-20, Department of Finance Canada.
    9. Michael S. Gibson & Matthew Pritsker, 2000. "Improving grid-based methods for estimating value at risk of fixed-income portfolios," Finance and Economics Discussion Series 2000-25, Board of Governors of the Federal Reserve System (U.S.).
    10. Kaufmann, Roger & Gadmer, Andreas & Klett, Ralf, 2001. "Introduction to Dynamic Financial Analysis," ASTIN Bulletin, Cambridge University Press, vol. 31(1), pages 213-249, May.
    11. Simon Gray, 1996. "The Management of Government Debt," Handbooks, Centre for Central Banking Studies, Bank of England, number 5, April.
    12. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    13. Robert J. Barro, 1995. "Optimal Debt Management," NBER Working Papers 5327, National Bureau of Economic Research, Inc.
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    Cited by:

    1. 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.
    2. Jason Allen & Jakub Kastl & Milena Wittwer, 2020. "Primary Dealers and the Demand for Government Debt," Working Papers 2020-27, Princeton University. Economics Department..
    3. Jason Allen & Jakub Kastl & Milena Wittwer, 2020. "Maturity Composition and the Demand for Government Debt," Staff Working Papers 20-29, Bank of Canada.
    4. David Bolder & Tiago Rubin, 2007. "Optimization in a Simulation Setting: Use of Function Approximation in Debt Strategy Analysis," Staff Working Papers 07-14, Bank of Canada.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. Thordur Jonasson & Mr. Michael G. Papaioannou, 2018. "A Primer on Managing Sovereign Debt-Portfolio Risks," IMF Working Papers 2018/074, International Monetary Fund.
    12. 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.
    13. 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.
    14. Melecky, Martin, 2012. "Formulation of public debt management strategies: An empirical study of possible drivers," Economic Systems, Elsevier, vol. 36(2), pages 218-234.
    15. 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.
    16. Christopher Cameron, 2018. "Visualizing Treasury Issuance Strategy," Papers 1802.03376, arXiv.org, revised Feb 2020.
    17. 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.
    18. 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.
    19. 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.
    20. 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.
    21. 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.

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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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