Improving Quality of Long-Term Bond Price Prediction Using Artificial Neural Networks

Robert Verner (1), Michal Tkáč (2), Michal Tkáč (3)
(1) University of Economics in Bratislava, Slovakia, Slovakia,
(2) University of Economics in Bratislava, Slovakia, Slovakia,
(3) University of Economics in Bratislava, Slovakia, Slovakia

Abstract

Purpose: The aim of this paper is to propose nonlinear autoregressive neural network which can improve quality of bond price forecasting.        


Methodology/Approach: Due to the complex nature of market information that influence bonds, artificial intelligence could be accurate, robust and fast choice of bond price prediction method.


Findings: Our results have reached a coefficient of determination higher than 95% in the training, validation and testing sets. Moreover, we proposed the nonlinear autoregressive network with external inputs using 50 year interest-rate swaps denominated in EUR and volatility index VIX as two external variables.


Research Limitation/Implication: Our sample of daily prices between 4th January 2016 and 13th January 2021 (totally 1,270 trading days) suggest that both Levenberg-Marquardt and Scaled conjugate gradient learning algorithms achieved excellent results.


Originality/Value of paper: Despite the fact that both learning algorithms achieved satisfying outcomes, implementation of an independent variable into the autoregressive neural network environment had no significant impact on prediction ability of the model.

Full text article

Generated from XML file

References

Aguiar-Conraria, L., Martins, M.M. and Soares, M.J., 2012. The yield curve and the macro-economy across time and frequencies. Journal of Economic Dynamics and Control, [e-journal] 36(12), pp.1950-1970. DOI: 10.1016/j.jedc.2012.05.008.

Andersen, T.G., Bollerslev, T., Diebold, F.X. and Labys, P., 2001. The distribution of realized exchange rate volatility. Journal of the American statistical association, [e-journal] 96(453), pp.42-55. DOI: 10.1198/016214501750332965.

Andersen, T.G., Bollerslev, T., Diebold, F.X. and Labys, P., 2003. Modeling and forecasting realized volatility. Econometrica, [e-journal] 71(2), 579-625. DOI: 10.1111/1468-0262.00418.

Andersen, T.G., Bollerslev, T., Diebold, F.X. and Vega, C., 2007. Real-time price discovery in global stock, bond and foreign exchange markets. Journal of international Economics, [e-journal] 73(2), 251-277. DOI: 10.1016/j.jinteco.2007.02.004.

Andersson, M., Overby, L.J. and Sebestyén, S., 2009. Which news moves the euro area bond market?. German economic review, [e-journal] 10(1), pp.1-31. DOI: 10.1111/j.1468-0475.2008.00439.x.

Balduzzi, P., Elton, E.J. and Green, T.C., 2001. Economic news and bond prices: Evidence from the US Treasury market. Journal of financial and Quantitative analysis, [e-journal] 36(04), pp.523-543. DOI: 10.2307/2676223.

Bernoth, K., Von Hagen, J. and Schuknecht, L., 2004. Sovereign risk premia in the European government bond market. [pdf] Frankfurt am Main: European Central Bank. Avaliable at: <https://ideas.repec.org/p/ecb/ecbwps/2004369.html> [Accessed 7 July 2020].

Bessembinder, H., Kahle, K.M., Maxwell, W.F. and Xu, D., 2009. Measuring abnormal bond performance. Review of Financial Studies, [e-journal] 22(10), pp.4219-4258. DOI: 10.1093/rfs/hhn105.

Bildirici, M. and Ersin, Ö.Ö., 2009. Improving forecasts of GARCH family models with the artificial neural networks: An application to the daily returns in Istanbul Stock Exchange. Expert Systems with Applications, [e-journal] 36(4), pp.7355-7362. DOI: 10.1016/j.eswa.2008.09.051.

Bollerslev, T., Cai, J. and Song, F.M., 2000. Intraday periodicity, long memory volatility, and macroeconomic announcement effects in the US Treasury bond market. Journal of empirical finance, [e-journal] 7(1), pp.37-55. DOI: 10.1016/S0927-5398(00)00002-5.

Boyd, N.E. and Mercer, J.M., 2010. Gains from active bond portfolio management strategies. The Journal of Fixed Income, [e-journal] 19(4), pp.73-83. DOI: 10.3905/JFI.2010.19.4.073.

Broyden, C.G., 1970. The convergence of a class of double-rank minimization algorithms 2. The new algorithm. IMA Journal of Applied Mathematics, [e-journal] 6(3), pp.222-231. DOI: 10.1093/imamat/6.3.222.

Byrne, J.P., Fazio, G. and Fiess, N., 2012. Interest rate co-movements, global factors and the long end of the term spread. Journal of Banking & Finance, [e-journal] 36(1), pp.183-192. DOI: 10.1016/j.jbankfin.2011.07.002.

Campbell, J.Y. and Shiller, R.J., 1991. Yield spreads and interest rate movements: A bird's eye view. The Review of Economic Studies, [e-journal] 58(3), pp.495-514. DOI: 10.2307/2298008.

Carriero, A., Kapetanios, G. and Marcellino, M., 2012. Forecasting government bond yields with large Bayesian vector autoregressions. Journal of Banking & Finance, [e-journal] 36(7), pp.2026-2047. DOI: 10.1016/j.jbankfin.2012.03.008.

Chang, R., Fernández, A. and Gulan, A., 2016. Bond finance, bank credit, and aggregate fluctuations in an open economy. Journal of Monetary Economics, 85, pp.90-109. DOI: 10.1016/j.jmoneco.2016.10.009.

Chao, S.W., 2016. Do economic variables improve bond return volatility forecasts?. International Review of Economics & Finance, [e-journal] 46, pp.10-26. DOI: 10.1016/j.iref.2016.08.001.

Chionis, D., Pragidis, I. and Schizas, P., 2014. Long-term government bond yields and macroeconomic fundamentals: Evidence for Greece during the crisis-era. Finance Research Letters, [e-journal] 11(3), pp.254-258. DOI: 10.1016/j.frl.2014.02.003.

Chuliá, H., Martens, M. and van Dijk, D., 2010. Asymmetric effects of federal funds target rate changes on S&P100 stock returns, volatilities and correlations. Journal of Banking & Finance, [e-journal] 34(4), pp.834-839. DOI: 10.1016/j.jbankfin.2009.09.012.

De Grauwe, P. and Ji, Y., 2013. Self-fulfilling crises in the Eurozone: An empirical test. Journal of International Money and Finance, [e-journal] 34, pp.15-36. DOI: 10.1016/j.jimonfin.2012.11.003.

Demuth, H.B., Beale, M.H., De Jess, O. and Hagan, M.T., 2014. Neural network design. 2nd ed. New York: Martin Hagan.

Diebold, F.X. and Li, C., 2006. Forecasting the term structure of government bond yields. Journal of econometrics, [e-journal] 130(2), pp.337-364. DOI: 10.1016/j.jeconom.2005.03.005.

Diebold, F.X., Li, C. and Yue, V.Z., 2008. Global Yield Curve Dynamics and Interactions: A Generalized Nelson- Siegel Approach. Journal of Econometrics, [e-journal] 146, pp.351-363. DOI: 10.1016/j.jeconom.2008.08.017.

Ehrmann, M. and Fratzscher, M., 2002. Interdependence between the euro area and the US: What role for EMU? [pdf] Frankfurt am Main: European Central Bank. Available at: <https://ssrn.com/abstract=376184> [Accessed 26 August 2020].

Fama, E.F., 2006. The behavior of interest rates. Review of Financial Studies, [e-journal] 19(2), pp.359-379. DOI: 10.1093/rfs/hhj019.

Fama, E.F. and Bliss, R.R., 1987. The information in long-maturity forward rates. The American Economic Review, 77(4), pp.680-692. Available at: <http://www.jstor.org/stable/1814539> [Accessed 03 May 2020].

Faust, J., Rogers, J.H., Swanson, E. and Wright, J.H., 2003. Identifying the effects of monetary policy shocks on exchange rates using high frequency data. Journal of the European Economic association, [e-journal] 1(5), pp.1031-1057. DOI: 10.1162/154247603770383389.

Fletcher, R., 1970. A new approach to variable metric algorithms. The computer journal, [e-journal] 13(3), pp.317-322. DOI: 10.1093/comjnl/13.3.317.

Georgoutsos, D.A. and Migiakis, P.M., 2013. Heterogeneity of the determinants of euro-area sovereign bond spreads; what does it tell us about financial stability?. Journal of Banking & Finance, [e-journal] 37(11), pp.4650-4664. DOI: 10.1016/j.jbankfin.2013.07.025.

Goldberg, L.S. and Leonard, D., 2003. What moves sovereign bond markets? The effects of economic news on US and German yields. Goldberg, Linda S. and Leonard, Deborah, What Moves Sovereign Bond Markets? The Effects of Economic News on U.S. And German Yields. Current Issues in Economics and Finance, 9(9), 7p. Available at: <https://ssrn.com/abstract=683269> [Accessed 28 May 2020].

Goldfarb, D., 1970. A family of variable-metric methods derived by variational means. Mathematics of computation, [e-journal] 24(109), pp.23-26. DOI: 10.1090/S0025-5718-1970-0258249-6.

Goyenko, R., Subrahmanyam, A., Ukhov, A. 2011. The term structure of bond market liquidity and its implications for expected bond returns. Journal of Financial and Quantitative Analysis, [e-journal] 46(1), pp. 111-139. DOI: 10.117/S0221090100000700.

Green, T.C., 2004. Economic news and the impact of trading on bond prices. The Journal of Finance, [e-journal] 59(3), pp.1201-1233. DOI: 10.1111/j.1540-6261.2004.00660.x.

Guidolin, M., Orlov, A.G. and Pedio, M., 2014. Unconventional monetary policies and the corporate bond market. Finance Research Letters, [e-journal] 11(3), pp.203-212. DOI: 10.1016/j.frl.2014.04.003.

Hafezi, R., Shahrabi, J. and Hadavandi, E., 2015. A bat-neural network multi-agent system (BNNMAS) for stock price prediction: Case study of DAX stock price. Applied Soft Computing, [e-journal] 29, pp.196-210. DOI: 10.1016/j.asoc.2014.12.028.

Hagan, M.T. and Menhaj, M.B., 1994. Training feedforward networks with the Marquardt algorithm. IEEE transactions on Neural Networks, [e-journal] 5(6), pp.989-993. DOI: 10.1109/72.329697.

Hamilton, J.D. and Kim, D.H., 2000. A re-examination of the predictability of economic activity using the yield spread (No. w7954). [pdf] Cambridge, MA: National Bureau of Economic Research Working Paper Series. Available at: <https://www.nber.org/papers/w7954> [Accessed 29 May 2020]. DOI: 10.3386/w7954.

Hamilton, J.D. and Wu, J.C., 2012. The effectiveness of alternative monetary policy tools in a zero lower bound environment. Journal of Money, Credit and Banking, [e-journal] 44(s1), pp.3-46. DOI: 10.1111/j.1538-4616.2011.00477.x.

Hong, Y., Lin, H., Wu, C. 2012. Are corporate bond market returns predictable?. Journal of Banking & Finance, [e-journal] 36(8), pp. 2216-2232. DOI: 10.1016/j.jbankfin.2012.04.001.

Huang, R.D. and Lin, C.S., 1996. An analysis of nonlinearities in term premiums and forward rates. Journal of Empirical Finance, [e-journal] 3(4), pp.347-368. DOI: 10.1016/S0927-5398(96)00008-4.

Ilmanen, A. and Byrne, R., 2003. Pronounced momentum patterns ahead of major events. The Journal of Fixed Income, [e-journal] 12(4), pp.73-80. DOI: 10.3905/jfi.2003.31934.

Kara, Y., Boyacioglu, M.A. and Baykan, Ö.K., 2011. Predicting direction of stock price index movement using artificial neural networks and support vector machines: The sample of the Istanbul Stock Exchange. Expert systems with Applications, [e-journal] 38(5), pp.5311-5319. DOI: 10.1016/j.eswa.2010.10.027.

Kulish, M. and Rees, D., 2011. The yield curve in a small open economy. Journal of International Economics, [e-journal] 85(2), pp.268-279. DOI: 10.1016/j.jinteco.2011.06.006.

Kurita, T., 2016. Markov-switching variance models and structural changes underlying Japanese bond yields: An inquiry into non-linear dynamics. The Journal of Economic Asymmetries, [e-journal] 13, pp.74-80. DOI: 10.1016/j.jeca.2016.03.001.

Lange, R.H., 2014. The small open macroeconomy and the yield curve: A state-space representation. The North American Journal of Economics and Finance, [e-journal] 29, pp.1-21. DOI: 10.1016/j.najef.2014.04.002.

Levenberg, K., 1944. A method for the solution of certain non-linear problems in least squares. Quarterly of applied mathematics, 2(2), pp.164-168. Avaliable at: [Accessed 26 August 2020].

Li, E.Y., 1994. Artificial neural networks and their business applications. Information & Management, [e-journal] 27(5), pp.303-313. DOI: 10.1016/0378-7206(94)90024-8.

Longstaff, F.A., Pan, J., Pedersen, L.H. and Singleton, K.J., 2011. How sovereign is sovereign credit risk?. American Economic Journal: Macroeconomics, [e-journal] 3(2), pp.75-103. DOI: 10.1257/mac.3.2.75.

Marquardt, D.W., 1963. An algorithm for least-squares estimation of nonlinear parameters. Journal of the society for Industrial and Applied Mathematics, [e-journal] 11(2), pp.431-441. DOI: 10.1137/0111030.

Moskowitz, T.J., Ooi, Y.H. and Pedersen, L.H., 2012. Time series momentum. Journal of Financial Economics, [e-journal] 104(2), pp.228-250. DOI: 10.1016/j.jfineco.2011.11.003.

Paiardini, P., 2014. The impact of economic news on bond prices: Evidence from the MTS platform. Journal of Banking & Finance, [e-journal] 49, pp.302-322. DOI: 10.1016/j.jbankfin.2014.08.007.

Powell, M.J.D., 1975. A view of unconstrained minimization algorithms that do not require derivatives. ACM Transactions on Mathematical Software (TOMS), [e-journal] 1(2), pp.97-107. DOI: 10.1145/355637.355638.

Rezaee, M.J., Jozmaleki, M. and Valipour, M., 2018. Integrating dynamic fuzzy C-means, data envelopment analysis and artificial neural network to online prediction performance of companies in stock exchange. Physica A: Statistical Mechanics and its Applications, [e-journal] 489, pp.78-93. DOI: 10.1016/j.physa.2017.07.017.

Shanno, D.F., 1970. Conditioning of quasi-Newton methods for function minimization. Mathematics of computation, [e-journal] 24(111), pp.647-656. DOI: 10.1090/S0025-5718-1970-0274029-X.

Ticknor, J.L., 2013. A Bayesian regularized artificial neural network for stock market forecasting. Expert Systems with Applications, [e-journal] 40(14), pp.5501-5506. DOI: 10.1016/j.eswa.2013.04.013.

Tkáč, M. and Verner, R., 2016. Artificial neural networks in business: Two decades of research. Applied Soft Computing, [e-journal] 38, pp.788-804. doi.org/10.1016/j.asoc.2015.09.040.

Tseng, C.H., Cheng, S.T., Wang, Y.H. and Peng, J.T., 2008. Artificial neural network model of the hybrid EGARCH volatility of the Taiwan stock index option prices. Physica A: Statistical Mechanics and its Applications, [e-journal] 387(13), pp.3192-3200. DOI: 10.1016/j.physa.2008.01.074.

Vellido, A., Lisboa, P.J. and Vaughan, J., 1999. Neural networks in business: a survey of applications (1992–1998). Expert Systems with applications, [e-journal] 17(1), pp.51-70. DOI: 10.1016/S0957-4174(99)00016-0.

Vieira, F., Fernandes, M. and Chague, F., 2017. Forecasting the Brazilian yield curve using forward-looking variables. International Journal of Forecasting, [e-journal] 33(1), pp.121-131. DOI: 10.1016/j.ijforecast.2016.08.001.

Von Hagen, J., Schuknecht, L. and Wolswijk, G., 2011. Government bond risk premiums in the EU revisited: The impact of the financial crisis. European Journal of Political Economy, [e-journal] 27(1), pp.36-43. DOI: 10.1016/j.ejpoleco.2010.07.002.

Wong, B.K., Bodnovich, T.A. and Selvi, Y., 1997. Neural network applications in business: A review and analysis of the literature (1988–1995). Decision Support Systems, [e-journal] 19(4), pp.301-320. DOI: 10.1016/S0167-9236(96)00070-X.

Wright, J.H., 2012. What does monetary policy do to long‐term interest rates at the zero lower bound?. The Economic Journal, [e-journal] 122(564), F447-F466. DOI: 10.1111/j.1468-0297.2012.02556.x.

Zhang, X., Li, C. and Morimoto, Y., 2019. A multi-factor approach for stock price prediction by using recurrent neural networks. Bulletin of networking, computing, systems, and software, [e-journal] 8(1), pp.9-13. Avaliable at: <http://www.bncss.org/index.php/bncss/article/view/96> [Accessed 30 July 2020].

Authors

Robert Verner
Michal Tkáč
Michal Tkáč
michal.tkac1@euba.sk (Primary Contact)
Author Biographies

Robert Verner, University of Economics in Bratislava, Slovakia

Robert Verner –  is Assistant Professor at the University of Economics in Bratislava, Faculty of Business Economics with seat in Košice (PHF EU), Košice, Slovakia. He participated as a Speaker in several national and international conferences and is the author of cited publications with high impact factor. E-mail: robert.verner@euba.sk

Michal Tkáč, University of Economics in Bratislava, Slovakia

Michal Tkáč – is Professor at the University of Economics in Bratislava, Faculty of Business Economics with seat in Košice (PHF EU), Košice, Slovakia. He holds a CSc. title in Mathematics and Physics, Geometry and Topology from the University P. J. Šafárika, Faculty of Science in Košice, Slovakia. Experienced lecturer, teacher, organizer of various scientific and social events. He was the head of several successful domestic and foreign projects and conferences. He is the author of cited publications in many scientific journals. E-mail: michal.tkac@ euba.sk 

Michal Tkáč, University of Economics in Bratislava, Slovakia

Michal Tkáč – is Associate Professor at the University of Economics in Bratislava, Faculty of Business Economics with seat in Košice (PHF EU), Košice, Slovakia. He holds a PhD. title in Finance at the Technical University of Košice, Faculty of Economics, Košice, Slovakia. Is a specialist in Business Risk (Business Risk Management). He is the author of many publications. E-mail: michal.tkac1@ euba.sk. Author’s 

Verner, R., Tkáč, M., & Tkáč, M. (2021). Improving Quality of Long-Term Bond Price Prediction Using Artificial Neural Networks. Quality Innovation Prosperity, 25(1), 103–123. https://doi.org/10.12776/qip.v25i1.1532

Article Details

Similar Articles

1 2 > >> 

You may also start an advanced similarity search for this article.

Methodological Assessment of Data Suitability for Defect Prediction

Peter Schlegel, Daniel Buschmann, Max Ellerich, Robert H. Schmitt
Abstract View : 877
Download :443