Algorithm of Assessing Dynamic Correlation between Time Series Connected by TVP-Regression Model
https://doi.org/10.21686/2413-2829-2025-3-34-40
Abstract
The present research proposes algorithm of assessing dynamic correlation of time series connected by TVP-regression model. Topicality of this task is stipulated by the fact that this model often describes asset behavior on finance markets, while modeling of their correlation link over time could help take into account risks, which is an integral part of building strategy of shaping the investment portfolio. This methodology can also be used to study the effect of shock proliferation on finance markets in time of crises. The goal of the research is to assess efficiency of the algorithm described in the work in comparison with the classic algorithm DCC GARCH. Comparison of the present algorithm with DCC GARCH method was carried out on synthetic data with several values of process error dispersion. As a result with all considered values of dispersion of the process error the advanced algorithm showed best figures in terms of mean-square error of assessed and real correlation. However, it was noticed that for higher values of process error the difference in result obtained by advanced algorithm and DCC GARCH method drops. In conclusion certain drawbacks of the algorithm were shown.
About the Authors
N. A. MoiseevRussian Federation
Nikita A. Moiseev Doctor of Economics, Professor, Professor of the Department for Mathematical Methods in Economics
36 Stremyanny Lane, Moscow, 109992
G. V. Aivazian
Russian Federation
Grigory V. Aivazian Post-Graduate Student of the Department for Mathematical Methods in Economics
36 Stremyanny Lane, Moscow, 109992
References
1. Bala D. A., Takimoto T. Stock Markets Volatility Spillovers During Financial Crises: A DCC-MGARCH with Skewed-T Density Approach. Borsa Istanbul Review, 2017, Vol. 17, No. 1, pp. 25–48.
2. Engle R. Dynamic Conditional Correlation: A Simple Class of Multivariate Generalized Autoregressive Conditional Heteroskedasticity Models. Journal of Business & Economic Statistics, 2002, Vol. 20 (3), pp. 339–350.
3. Fakhfekh M. et al. Hedging Stock Market Prices with WTI, Gold, VIX and Cryptocurrencies: A Comparison between DCC, ADCC and GO-GARCH Models. International Journal of Emerging Markets, 2023, Vol. 18, No. 4, pp. 978–1006.
4. Ji X. et al. Contagion Effect of Financial Markets in Crisis: An Analysis Based on the DCC–MGARCH Model. Mathematics, 2022, Vol. 10, No. 11, p. 1819.
5. Joyo A. S., Lefen L. Stock Market Integration of Pakistan with its Trading Partners: A Multivariate DCC-GARCH Model Approach. Sustainability, 2019, Vol. 11, No. 2, p. 303.
6. Nakajima J. et al. Time-Varying Parameter VAR Model with Stochastic Volatility: An Overview of Methodology and Empirical Applications. Monetary and Economic Studies, 2011, No. 29, pp. 107–142.
Review
For citations:
Moiseev N.A., Aivazian G.V. Algorithm of Assessing Dynamic Correlation between Time Series Connected by TVP-Regression Model. Vestnik of the Plekhanov Russian University of Economics. 2025;(3):34-40. (In Russ.) https://doi.org/10.21686/2413-2829-2025-3-34-40