Networked Volatility: Linking Oil, Petrobrás and VALE in times of crisis
DOI:
https://doi.org/10.5007/2175-8077.2026.e107140Keywords:
spillover, vector autoregression, GFEVD, oil priceAbstract
Goal: This study analyzes the influence of international oil prices on Petrobrás (PETR4) and VALE (VALE3) stocks, also considering the impact of the S&P 500 index from January 2021 to January 2023, a period marked by exogenous events such as the COVID-19 pandemic and the Russia-Ukraine conflict.
Methodology/approach: The research uses daily data extracted via the yfR package from Yahoo Finance and applies a Vector Autoregressive (VAR) model, using ADF, KPSS, BIC, AIC, and HQ tests to check stationarity and determine lag selection. Additional tests of normality, autocorrelation, and heteroskedasticity were performed, along with the Generalized Forecast Error Variance Decomposition (GFEVD) method proposed by Diebold and Yilmaz (2012) to measure spillovers, and Granger causality testing (1969).
Originality/relevance: The study’s originality lies in applying GFEVD to a recent and globally volatile sample, focusing on key Brazilian companies in the international commodities market.
Main results: Oil (CL1) influenced 4.81% of PETR4 and 7.72% of VALE3 variance over a 10-day horizon. The spillover index dropped during COVID-19 peaks and the start of the war, indicating temporary disruptions.
Theoretical/methodological contributions: The findings support the VAR-GFEVD model as a robust tool for analyzing asset interconnectivity.
Managerial contributions: Results offer guidance for investors and policymakers in understanding how Brazilian stocks respond to external shocks, enhancing strategic decisions in volatile environments.
References
Arouri, M. H., Jouini, J., & Nguyen, D. K. (2011). Volatility spillovers between oil prices and stock sector returns: Implications for portfolio management. Journal of International Money and Finance, 30(7), 1387–1405.
Balcilar, M., Gabauer, D., & Umar, Z. (2021). Crude oil futures contracts and commodity markets: New evidence from a TVP-VAR extended joint connectedness approach. Resources Policy, 74, 102219. https://doi.org/10.1016/j.resourpol.2021.102219
Bamana, M. R. S. O. (2019). O impacto do preço do petróleo: análise da vulnerabilidade dos países exportadores de petróleo [Dissertação de Mestrado]. http://hdl.handle.net/10437/9455
Bekiros, S. D., & Diks, C. G. H. (2008). The relationship between crude oil spot and futures prices: Cointegration, linear and nonlinear causality. Energy Economics, 30(5), 2673–2685. https://doi.org/10.1016/j.eneco.2008.03.006
Bernanke, B. S., Gertler, M., & Watson, M. (1997). Systematic monetary policy and the effects of oil price shocks. Brookings Papers on Economic Activity, 1997(1), 91–142.
Brooks, C., Rew, A. G., & Ritson, S. (2001). A trading strategy based on the lead-lag relationship between the spot index and futures contract for the FTSE 100. International Journal of Forecasting, 17(1), 31–44. https://doi.org/10.1016/S0169-2070(00)00062-5
Bueno, R. L. S. (2020). Econometria de séries temporais (2ª ed.). Cengage Learning.
Caporale, G. M., Çatik, A. N., Kisla, G. S. H., Helmi, M. H., & Akdeniz, C. (2022). Oil prices and sectoral stock returns in the BRICS-T countries: A time-varying approach. Resources Policy, 79, 103044. https://doi.org/10.1016/j.resourpol.2022.103044
Castro, M. A. R., Fontoura, G. A., Ugolini, A., & Araujo, P. S. R. (2018). Causalidade entre petróleo, câmbio e commodities energéticas: abordagem com vetores autorregressivos (VAR). Revista de Gestão, Finanças e Contabilidade, 8(3), 38–57.
Cheikh, N. B., Zaied, Y. B., Saidi, S., & Mohamed, S. (2022). Global pandemic crisis and risk contagion in GCC stock markets. Journal of Economic Behavior & Organization, 202, 746–761. https://doi.org/10.1016/j.jebo.2022.08.036
Costa, A. D. (2012). A trajetória de internacionalização da Petrobras na indústria de petróleo e derivados. História Econômica & História de Empresas, 12(1).
Da Silva, M., Passos, M., Tessmann, M., & Uhr, D. (2024). Dynamic Connectivity and Contagion Risk Among Bank Stocks in Brazil. Computational Economics. https://doi.org/10.1007/s10614-024-10740-z.
Diebold, F. X., & Yilmaz, K. (2012). Better to give than to receive: Predictive directional measurement of volatility spillovers. International Journal of Forecasting, 28(1), 57–66. https://doi.org/10.1016/j.ijforecast.2011.02.006
Diebold, F. X., Liu, L., & Yilmaz, K. (2017). Commodity connectedness. National Bureau of Economic Research. https://doi.org/10.3386/w23685
Ekanayake, E. (2024). Commodity Prices and the Brazilian Stock Market: Evidence from a Structural VAR Model. Commodities. https://doi.org/10.3390/commodities3040027.
Filho, A., Saba, H., Santos, R., Calmon, J., Araujo, M., Jorge, E., & Murari, T. (2021). Analysis of Hydrous Ethanol Price Competitiveness after the Implementation of the Fossil Fuel Import Price Parity Policy in Brazil. Sustainability. https://doi.org/10.3390/su13179899.
Gogineni, S. (2010). Oil and the stock market: An industry level analysis. Financial Review, 45(4), 995–1010. https://doi.org/10.1111/j.1540-6288.2010.00282.x
Granger, C. W. J. (1969). Investigating causal relations by econometric models and cross-spectral methods. Econometrica, 37(3), 424–438. https://doi.org/10.2307/1912791
Gurrola-Ríos, C., Rodriguez-Benavides, D., & Lopez-Herrera, F. (2021). Medición y análisis de los spillovers entre el S&P500 y los mercados del MILA antes y durante la expansión inicial de la pandemia por COVID-19. Estudios Gerenciales, 37(159), 178–187. https://doi.org/10.18046/j.estger.2021.159.4391
Hammoudeh, S., & Choi, K. (2006). Behavior of GCC stock markets and impacts of US oil and financial markets. Research in International Business and Finance, 20(1), 22–44. https://doi.org/10.1016/j.ribaf.2005.05.008
Hung, N. T. (2022). Asymmetric connectedness among S&P 500, crude oil, gold and Bitcoin. Managerial Finance, 48(4), 587–610. https://doi.org/10.1108/MF-08-2021-0355
Johansen, S., & Juselius, K. (1990). Maximum likelihood estimation and inference on cointegration: With applications to the demand for money. Oxford Bulletin of Economics and Statistics, 52(2), 169–210.
Le, T. H., & Luong, A. T. (2022). Dynamic spillovers between oil price, stock market, and investor sentiment: Evidence from the United States and Vietnam. Resources Policy, 78, 102931. https://doi.org/10.1016/j.resourpol.2022.102931
Leite, A. R., Almeida, L. M. L., & Rech, L. T. (2016). Existe transmissão de preços do barril do petróleo Brent para as ações preferenciais da Petrobras? Revista Espacios, 37(25).
Liu, F., Shao, S., & Zhang, C. (2020). How do China's petrochemical markets react to oil price jumps? A comparative analysis of stocks and commodities. Energy Economics, 92, 104979. https://doi.org/10.1016/j.eneco.2020.104979.
Lopes, A. O., Viegas, T. O. C., Conte Filho, C. G., & Carvalho, V. S. (2021). Factors influencing Petrobras stock prices (PETR4) between 2009 and 2020. Research, Society and Development, 10(7), e13410716294. https://doi.org/10.33448/rsd-v10i7.16294
Mensi, W., Vo, X. V., & Kang, S. H. (2023). Quantile spillovers and connectedness analysis between oil and African stock markets. Economic Analysis and Policy, 77, 249–265. https://doi.org/10.1016/j.eap.2023.02.002
Nazareno, N. C. M. (2023). Contribuição do preço internacional do petróleo e de variáveis macroeconômicas na inflação brasileira, 2002–2021 [Dissertação de Mestrado, UFSCar]. https://repositorio.ufscar.br/handle/ufscar/17649
Nunes, R. M., Chiara, M. M., Ferreira, R. S., & Reis, Y. A. P. (2013). Estratégia de arbitragem entre ações brasileiras e suas ADRs: A resposta dos dados intraday. Revista Brasileira de Economia de Empresas, 12(2).
Osah, T. T., & Mollick, A. V. (2023). Stock and oil price returns in international markets: Identifying short and long-run effects. Journal of Economics and Finance, 47, 116–141. https://doi.org/10.1007/s12197-022-09602-x
Papapetrou, E. (2001). Oil price shocks, stock market, economic activity and employment in Greece. Energy Economics, 23(5), 511–532. https://doi.org/10.1016/S0140-9883(01)00078-0
Perlin, M. S. (2021). yfR: Download and process financial market data from Yahoo Finance (v1.1.0) [Pacote R]. https://CRAN.R-project.org/package=yfR
Regina, S. P., Santos, F. O., Lima, H. C. P., & Souza, W. A. R. (2012). Avaliação da correlação entre o preço das ações e das commodities: Estudo de caso da Petrobras e Vale. Revista de Administração e Contabilidade da Faculdade Anísio Teixeira, 4(2). http://www.reacfat.com.br/index.php/reac/article/view/50
Rego, J., & Marques, R. (2006). Economia brasileira (3ª ed.). São Paulo: Saraiva.
Reis, F., & Santana, A. (2024). Brazilian Stock Market and The Oil Price: An Investigation Using the Svar Model. Studies of Applied Economics. https://doi.org/10.25115/vtj92t06.
Ribeiro, M. A. S. (2022). O impacto do sentimento do investidor na cross-section de retornos de ações brasileiras: Uma análise da iliquidez como limite à arbitragem [Dissertação de Mestrado].
Ross, S. (1976). The arbitrage theory of capital asset pricing. Journal of Economic Theory, 13, 341-360. https://doi.org/10.1016/0022-0531(76)90046-6.
Roudari, S., Mensi, W., Kharusi, S. A., & Ahmadian-Yazdi, F. (2023). Impacts of oil shocks on stock markets in Norway and Japan: Does monetary policy’s effectiveness matter? International Economics, 173, 1–14. https://doi.org/10.1016/j.inteco.2023.01.006
Sadorsky, P. (2000). The empirical relationship between energy futures prices and exchange rates. Energy Economics, 22(2), 253–266. https://doi.org/10.1016/S0140-9883(99)00027-4
Salisu, A., & Gupta, R. (2020). Oil shocks and stock market volatility of the BRICS: A GARCH-MIDAS approach. Global Finance Journal, 100546. https://doi.org/10.1016/J.GFJ.2020.100546.
Santos, A. I. A. O. (2015). O impacto dos preços do petróleo nos mercados acionistas: o caso brasileiro [Tese de Doutorado, ISCTE-Instituto Universitário de Lisboa].
Santos, D., Lucas, E. C., Brunassi, V. A., & Medeiro, B. (2015). Influência intradiária do preço internacional do petróleo nas ações da Petrobrás. Journal of Financial Innovation, 1(1), 4–17. https://ssrn.com/abstract=2532923
Shen, Y. (2025). Beyond CAPM: The Rise and Relevance of Arbitrage Pricing Theory in Modern Investment Strategies. Advances in Economics, Management and Political Sciences. https://doi.org/10.54254/2754-1169/2024.19316.
Silva, B. F. D. (2011). Relações entre o preço internacional do petróleo e as ações da Petrobrás [Dissertação de Mestrado, Universidade de Brasília]. https://repositorio.unb.br/handle/10482/8848
Silveira, T. L. (2016). Uma análise da relação entre o comportamento de variáveis macroeconômicas e o mercado acionário brasileiro de 2006 a 2014 [Dissertação de Mestrado].
Sims, C. A. (1980). Macroeconomics and reality. Econometrica, 48(1), 1–48. https://doi.org/10.2307/1912017
Souza, T. A., & Veríssimo, M. P. (2013). O papel das commodities para o desempenho exportador brasileiro. Indicadores Econômicos FEE, 41(3), 139–158.
Theodoro, T. L. C. (2021). O impacto do preço do petróleo nas empresas de energia renovável: Uma análise empírica usando vetores autoregressivos [Tese de Doutorado].
Trinh, P. T. T., & My, B. T. T. (2023). The impact of world oil price shocks on macroeconomic variables in Vietnam: The transmission through domestic oil price. Asia Pacific Economic Literature, 37(1), 38–55. https://doi.org/10.1111/apel.12381
Wang, L. (2019). Stock Market Valuation, Foreign Investment, and Cross-Country Arbitrage. Global Finance Journal. https://doi.org/10.1016/J.GFJ.2018.01.004.
Wolff, L., Santos, E., & Souza, A. M. (2011). Influência do mercado acionário norte-americano sobre o preço das principais ações brasileiras. Revista Organizações em Contexto, 7(14), 191–210. https://doi.org/10.15603/1982-8756/roc.v7n14p191-210
Wu, W., Li, Z., & Feng, X. (2024). International interest rate arbitrage: Study on a novel strategy. International Review of Financial Analysis. https://doi.org/10.1016/j.irfa.2024.103705.
Xiao, X., & Huang, J. (2018). Dynamic connectedness of international crude oil prices: The Diebold–Yilmaz approach. Sustainability, 10(9), 3298. https://doi.org/10.3390/su10093298
Zhang, B., & Wang, P. (2014). Return and volatility spillovers between China and world oil markets. Economic Modelling, 42, 413–420. https://doi.org/10.1016/j.econmod.2014.07.013
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2026 Edimilson Costa Lucas, Carlos Alberto Di Agustini, Maria Augusta Pessoa Mauger Carbone, Alan Guilhermino da Silva

This work is licensed under a Creative Commons Attribution 4.0 International License.
The author must ensure:
- that there is complete consensus among all co-authors to approve the final version of the paper and its submission for publication.
- that their work is original, and if the work and/or words of others have been used, these have been duly acknowledged.
Plagiarism in all its forms constitutes unethical publishing behavior and is unacceptable. RCA reserves the right to use software or any other methods of plagiarism detection.
All submissions received for evaluation in the RCA journal are screened for plagiarism and self-plagiarism. Plagiarism identified in manuscripts during the evaluation process will result in the submission being archived. In the event of plagiarism being identified in a manuscript published in the journal, the Editor-in-Chief will conduct a preliminary investigation and, if necessary, retract it.
Authors grant RCA exclusive rights of first publication, with the work simultaneously licensed under the Creative Commons (CC BY) 4.0 International License.

Authors are authorized to enter into separate, additional contractual arrangements for the non-exclusive distribution of the version of the work published in this journal (e.g., publishing in an institutional repository, on a personal website, publishing a translation, or as a chapter in a book), with an acknowledgement of its authorship and initial publication in this journal.
This license grants any user the right to:
Share – copy, download, print, or redistribute the material in any medium or format.
Adapt – remix, transform, and build upon the material for any purpose, even commercially.
According to the following terms:
Attribution – You must give appropriate credit (cite and reference), provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
No additional restrictions – You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.