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Portfolio diversification in the sovereign credit swap markets

  • Analytical Models for Financial Modeling and Risk Management
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Abstract

We develop models for portfolio diversification in the sovereign credit default swaps (CDS) markets and show that, despite literature findings that sovereign CDS spreads are affected by global factors, there is sufficient idiosyncratic risk to be diversified. However, we identify regime switching in the times series of CDS spreads and spread returns, and the optimal diversified strategies can be regime dependent. The developed models trade off the CVaR risk measure against expected return, consistently with the statistical properties of spreads. We consider three investment strategies suited for different CDS market participants: for investors with long positions, speculators that hold uncovered long and short positions, and hedgers with covered long and short exposures. We use the models to illustrate that diversification pays in the CDS market. The models are also tested for active portfolio management in Eurozone core and periphery, and Central, Eastern and South-Eastern Europe countries, and the optimized portfolio results outperform the broad S&P/ISDA Eurozone Developed Nation Sovereign CDS index. The paper concludes by identifying open questions in developing integrated enterprise-wide risk management models using CDS.

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Notes

  1. See REUTERS SUMMIT-Investors overpaying for yield after years of low rates, Thu. Nov. 20, 2014, http://www.reuters.com/article/investment-yearend-yield-idUSL2N0T82YH20141120.

  2. The GAUSS code is available from Zhongjun Qu as “GAUSS code: Estimating and Testing Structural Changes in Multivariate Regressions” at http://people.bu.edu/qu/code.htm.

  3. \(\alpha \in (0,1]\) and all numerical experiments in this paper are carried out for \(\alpha =0.95\).

References

  • Alexander, C., & Kaeck, A. (2008). Regime dependent determinants of credit default swap spreads. Journal of Banking and Finance, 32(6), 1008–1021.

    Article  Google Scholar 

  • Augustin, P., Subrahmanyam, M. G., Tang, D. Y., & Wang, S. Q. (2014). Credit default swaps: A survey. Foundations and Trends in Finance, 9(1–2), 1–196.

    Article  Google Scholar 

  • Augustin, P., Subrahmanyam, M. G., Tang, D. Y., & Wang, S. Q. (2016). Credit default swaps: Past, present, and future. Annual Review of Financial Economics, 8, 175–196.

    Article  Google Scholar 

  • Bai, J., & Perron, P. (1998). Evaluating and testing linear models with multiple structural changes. Econometrica, 66(1), 47–78.

    Article  Google Scholar 

  • Bai, J., & Perron, P. (2003). Computation and analysis of multiple structural change models. Journal of Applied Econometrics, 18(1), 1–22.

    Article  Google Scholar 

  • Consiglio, A., Tumminello, M., & Zenios, S. A. (2016). Pricing sovereign contingent convertible debt. Working Paper 16-05. The Wharton Financial Institutions Center, University of Pennsylvania, Philadelphia. http://papers.ssrn.com/sol3/papers.cfm?abstract_id=2813427

  • Cont, R., Deguest, R., & Scandolo, G. (2010). Robustness and sensitivity analysis of risk measurement procedures. Quantitative Finance, 10(6), 593–606.

    Article  Google Scholar 

  • Cont, R., & Kan, Y.-H. (2011). Statistical modeling of credit default swap portfolios. SSRN. http://ssrn.com/abstract=1771862

  • Criado, S., Degabriel, L., Lewandowska, M., Linden, S., & Ritter, P. (2010). Sovereign CDS report. Official report DG COMP, DG ECFIN and DG MARKT. Brussels: European Commission.

  • European Union. (2012). Regulation (EU) of the European Parliament and the Council on short selling and certain aspects of credit default swaps. Regulation EU 236/2012, Official Journal of the European Union.

  • Fabozzi, F., Giacometti, R., & Tsuchida, N. (2016). Factor decomposition of the eurozone sovereign CDS spreads. Journal of International Money and Finance, 65, 1–23.

    Article  Google Scholar 

  • Giesecke, K., Kim, B., Kim, K., & Tsoukalas, G. (2014). Optimal credit swap portfolios. Management Science, 60(9), 2291–2307.

    Article  Google Scholar 

  • Hamilton, J. D. (1994). Time series analysis. Princeton, NJ: Princeton University Press.

    Google Scholar 

  • Holmer, M. R., & Zenios, S. A. (1995). The productivity of financial intermediation and the technology of financial product management. Operations Research, 43(6), 970–982.

    Article  Google Scholar 

  • IMF. (2013). A new look at the role of sovereign credit default swaps, volume Global Financial Stability Report, (chapter 2, pp. 57–92). Washington, DC: International Monetary Fund.

  • Jobst, N., Mitra, G., & Zenios, S. A. (2006). Integrating market and credit risk: A simulation and optimization perspective. Journal of Banking and Finance, 30, 717–742.

    Article  Google Scholar 

  • Krokhmal, P., Palmquist, J., & Uryasev, S. (2002). Portfolio optimization with conditional Value-at-Risk objective and constraints. Journal of Risk, 4(2), 11–27.

    Google Scholar 

  • Longstaff, F. A., Pan, J., Pedersen, L. H., & Singleton, K. J. (2011). How sovereign is sovereign credit risk? American Economic Journal: Macroeconomics, 3, 75–103.

    Google Scholar 

  • Mulvey, J. M., & Vladimirou, H. (1992). Stochastic network programming for financial planning problems. Management Science, 38(11), 1642–1664.

    Article  Google Scholar 

  • Packer, F., & Suthiphongchai, C. (2003). Sovereign credit default swaps. BIS Quarterly Review, December, pp. 79–88.

  • Qu, Z., & Perron, P. (2007). Estimating and testing structural changes in multivariate regressions. Econometrica, 75, 459–502.

    Article  Google Scholar 

  • Rockafellar, R., & Uryasev, S. (2002). Conditional Value-at-Risk for general loss distributions. Journal of Banking and Finance, 26, 1443–1471.

    Article  Google Scholar 

  • Rockafellar, R. T., & Uryasev, S. (2000). Optimization of conditional Value-at-Risk. Journal of Risk, 2(3), 21–41.

    Article  Google Scholar 

  • Schönbucher, P. (2003). Credit derivatives pricing models: Models, pricing and implementation. New York, NY: Wiley.

    Google Scholar 

  • Sharpe, W. F. (1994). The Sharpe ratio. The Journal of Portfolio Management, 21(1), 49–58.

    Article  Google Scholar 

  • Stulz, R. (2010). Credit default swaps and the credit crisis. Journal of Economic Perspectives, 24(1), 73–92.

    Article  Google Scholar 

  • Zenios, S. A. (2007). Practical financial optimization. Decision making for financial engineers. Malden, MA: Blackwell/Wiley.

  • Zenios, S. A., Holmer, M. R., McKendall, R., & Vassiadou-Zeniou, C. (1998). Dynamic models for fixed-income portfolio management under uncertainty. Journal of Economic Dynamics and Control, 22(10), 1517–1541.

    Article  Google Scholar 

  • Ziemba, W. T. (2005). The symmetric downside risk Sharpe ratio. Journal of Portfolio Management, 32(1), 108–122.

    Article  Google Scholar 

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Acknowledgements

Stavros Zenios is holder of a Marie Sklodowska-Curie fellowship funded from the European Union Horizon 2020 research and innovation programme under Grant Agreement No. 655092. The authors benefited from the comments of two anonymous referees and participants at the Macro seminars at the Finance Department of the Wharton School.

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Correspondence to Stavros A. Zenios.

Appendices

Appendix A: Regime switching in the CDS spread levels of CESEE and Baltic countries

See Figs. 10 and 11.

Fig. 10
figure 10

Regime switching appears synchronized for these CESEE countries. a Bulgaria, b Croatia, c Czech Republic, d Hungary, e Poland, f Romania, g Slovakia, h Slovenia

Fig. 11
figure 11

Regime switching appears idiosyncratic for the Baltic countries. a Estonia, b Latvia, c Lithuania

Appendix B: CDS spread moments of all country groups under different regimes

See Tables 3, 4, 5, 6 and 7.

Table 3 CDS spread return moment estimates during each regime for eurozone core and periphery countries
Table 4 CDS spread return moment estimates during each regime for CESEE countries
Table 5 CDS spread return moment estimates during each regime for the Baltic countries
Table 6 CDS spread return statistics for eurozone core and periphery countries under the common regimes
Table 7 CDS spread return statistics for CESEE and Baltic countries under the common regimes

Appendix C: Efficient frontiers under different regimes

See Figs. 12 and 13.

Fig. 12
figure 12

The relative position of efficient frontiers for each country group using strategy L is regime dependent. a Regime I. Turbulent, b Regime II. Crisis, c Regime III. Post crisis

Fig. 13
figure 13

The relative position of efficient frontiers for each country group using strategy LS is regime dependent. a Regime I. Turbulent, b Regime II. Crisis, c Regime III. Post crisis

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Consiglio, A., Lotfi, S. & Zenios, S.A. Portfolio diversification in the sovereign credit swap markets. Ann Oper Res 266, 5–33 (2018). https://doi.org/10.1007/s10479-017-2565-5

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