Prague Economic Papers 2017, 26(5):602-629 | DOI: 10.18267/j.pep.636

Volatility Strangeness of Bonds - How to Define and What Does it Bring?

Bohumil Stádník1, Václav ®ďárek2
1 Faculty of Finance and Accounting, University of Economics in Prague, Czech Republic (bohumil.stadnik@vse.cz)
2 ©koda Auto Vysoká ©kola, o.p.s, Mladá Boleslav, Czech Republic

The aim of this article is to complement the existing economic and financial strand of the literature by defining three alternative regimes of the clean price volatility of a bond with respect to the level of interest rates in the economy. The suggested method takes into account responses to the changing nature of financial markets and allows for the possibility of observing negative interest rates. Our approach enables to find particular values of switching points between alternative regimes. After showing main theoretical steps, an investigation of the dependence of such points on key parameters of bonds is provided. An empirical illustration follows, accompanied by a discussion of theoretical and practical effects of this bond property. This approach offers both theorists and interested practitioners a way of overcoming difficulties associated with computations because of the complicated theoretical background. The results can be generalised, so that they apply both to the life of a bond and to the behaviour of a portfolio of bonds at a point of time.

Keywords: bond /portfolio of bonds, volatility regimes, price/yield sensitivity, negative interest rates
JEL classification: G1, G10, G12, G14

Published: October 1, 2017  Show citation

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Stádník, B., & ®ďárek, V. (2017). Volatility Strangeness of Bonds - How to Define and What Does it Bring? Prague Economic Papers26(5), 602-629. doi: 10.18267/j.pep.636
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References

  1. Bartle, R. G., Sherbert, D. R. (2011). Introduction to Real Analysis (4th Edition). John Wiley & Sons, Hoboken, NJ. ISBN 978-0-471-43331-6.
  2. Blahová, N. (2015). Analysis of the Relation between Macroprudential and Microprudential Policy. European Financial and Accounting Journal, 10(1), 33-47, https://doi.org/10.18267/j.efaj.136 Go to original source...
  3. Brůna, K., Blahová, N. (2016). Systemic Liquidity Shocks and Banking Sector Liquidity Characteristics on the Eve of Liquidity Coverage Ratio Application - The Case of the Czech Republic. Journal of Central Banking Theory and Practice [online], 5(1), 159-184, https://doi.org/10.1515/jcbtp-2016-0008 Go to original source...
  4. Chance, D. M., Jordan, J. V. (1966). Duration, Convexity, and Time as Components of Bond Returns. The Journal of Fixed Income, 6(2), 88-96, https://doi.org/10.3905/jfi.1996.408173 Go to original source...
  5. Dzikevičius, A., Vetrov, V. (2013). Investment Portfolio Management Using the Business Cycle Approach. Business: Theory and Practice/Verslas: Teorija ir Praktika, 14(1), 57-63, https://doi.org/10.3846/btp.2013.07 Go to original source...
  6. Fabozzi, F., J. (1993). Fixed Income Mathematics, Chicago: Probus, Publishing Company.
  7. Fabozzi F., J. (2010). Bond Markets, Analysis and Strategies (seventh edition). Prentice Hall.
  8. Fabozzi, F. J., Fabozzi, T., D. (1995): The Handbook of Fixed Income Securities (Fourth Edition). Irwin, Professional Publishing.
  9. Fuller, R. J., Settle, J. W. (1984). Determinants of Duration and Bond Volatility. Journal of Portfolio Management, 10(4), 66-72, https://doi.org/10.3905/jpm.1984.408974 Go to original source...
  10. Giacometti, R., Ortobelli, S., Tichý, T. (2015). Portfolio Selection with Uncertainty Measures Consistent with Additive Shifts. Prague Economic Papers, 24(1), 3-16, https://doi.org/10.18267/j.pep.497 Go to original source...
  11. Horváth, R., Teplý, P. (2013). Risk Management of Building Societies in the Czech Republic. Ekonomický časopis/Journal of Economics, 61(1), 24-46.
  12. Janda, K., Svárovská, B. (2010). Investing into Microfinance. Journal of Business Economics and Management, 11(3), 483-510, https://doi.org/10.3846/jbem.2010.24 Go to original source...
  13. Janda, K., Rausser, G., Svárovská, B. (2014). Can Investment in Microfinance Funds Improve Risk-Return Characteristics of a Portfolio? Technological and Economic Development of Economy, 20(4), 673-695, https://doi.org/10.3846/20294913.2014.869514 Go to original source...
  14. Kang, J. C., Chen, A. H. (2002). Evidence on Theta and Convexity in Treasury Returns. The Journal of Fixed Income, 12(1), 41-50, https://doi.org/10.3905/jfi.2002.319317 Go to original source...
  15. Křepelova, M., Jablonský, J. (2013). Analýza státních dluhopisů jako indikátoru pro akciový trh (Analysis of Government Bonds as an Indicator for Stock Market), Politická ekonomie, 61(5), 605-622, https://doi.org/10.18267/j.polek.919 Go to original source...
  16. Lim, D., Li, L., Linetsky, V. (2012). Evaluating Callable and Putable Bonds: An Eigenfunction Expansion Approach. Journal of Economic Dynamics & Control, 36(12), 1888-1908, https://doi.org/10.1016/j.jedc.2012.06.002 Go to original source...
  17. Litterman, R., Scheinkman, J., Weiss, L. (1991). Volatility and the Yield Curve. The Journal of Fixed Income, 1(1), 49-53, https://doi.org/10.3905/jfi.1991.692346 Go to original source...
  18. Litterman, R., Scheinkman, J. (1991). Common Factors Affecting Bond Returns. The Journal of Fixed Income, 1(1), 54-61, https://doi.org/10.3905/jfi.1991.692347 Go to original source...
  19. Málek, J., Radová, J., ©těrba, F. (2007). Konstrukce výnosové křivky pomocí vládních dluhopisů v České republice (Yield Curve Construction Using Government Bonds in the Czech Republic). Politická ekonomie, 55(6), 792-808, https://doi.org/10.18267/j.polek.624 Go to original source...
  20. Meng, L. A., Gwilym, O. A. B., Varas, J., C. (2009). Volatility Transmission Among the CDS, Equity, and Bond Markets. Journal of Fixed Income, 18(3), 33-46, https://doi.org/10.3905/jfi.2009.18.3.033 Go to original source...
  21. Musílek, P. (2011). Trhy cenných papírů (2. vydání). Praha: Ekopress (in Czech), ISBN 978-80-86929-70-5.
  22. Ortobelli, S., Tichý, T. (2015). On the Impact of Semidenite Positive Correlation Measures in Portfolio Theory. Annals of Operations Research, 235(1), 625-652, https://doi.org/10.1007/s10479-015-1962-x. Go to original source...
  23. Rutkauskas, A. V., Stasytytė, V., Maknickienėa, N. (2014). Government Debt as the Integral Portfolio of Assets and Liabilities Generated by Debt. Journal of Business Economics and Management, 15(1), 22-40, https://doi.org/10.3846/16111699.2013.815129 Go to original source...
  24. Smit, L. A., Swart, B. B. (2006). Calculating the Price of Bond Convexity. Journal of Portfolio Management, 32(2), 99-106, https://doi.org/10.3905/jpm.2006.611809 Go to original source...
  25. Stádník, B. (2012). Teorie a praxe dluhopisů I, (Theory and Praxis of Bonds I.) Prague: Oeconomica. ISBN 9788024519197.
  26. Stádník, B. (2014). The Volatility Puzzle of Bonds. 8th International Scientific Conference: Business and Management 2014, May 15-16, 2014, Vilnius. Go to original source...
  27. Steeley, J. M. (2006). Volatility Transmission between Stock and Bond Markets. Journal of International Financial Markets, Institutions and Money, 16(1), 71-86, https://doi.org/10.1016/j.intfin.2005.01.001 Go to original source...
  28. Tvaronavičienea, M., Michailova, J. (2006). Factors Affecting Securities Prices: Theoretical versus Practical Approach. Journal of Business Economics and Management, 7(4), 213-222. Go to original source...
  29. Visokavičienė, B. (2008). Money Supply and Assets Value. Business: Theory and Practice/Verslas: Teorija ir Praktika, 9(3), 210-214, https://doi.org/10.3846/1648-0627.2008.9.210-214 Go to original source...
  30. Webb, M. S. (2015). Negative Yields Are All around US. The Financial Times, FT Money, Saturday 31 January 2015, 8.
  31. Wilmott, P. (2006). Paul Wilmott on Quantitative Finance (2nd Ed.). John Wiley & Sons Ltd., UK, Chichester 2006.
  32. ®ďárek, V. (2009). Moderní způsoby produkce a přímé zahraniční investice (Modern Methods of Production and Foreign Direct Investment), Politická ekonomie, 57(4), 509-543, https://doi.org/10.18267/j.polek.696 Go to original source...
  33. Eurex Exchange Database (online). Eurex, Eschborn, 2015.
  34. Reuters Eikon Database (online). Reuters, London, 2015.

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