LINEAR AND NONLINEAR ASSOCIATION MEASURES WITH INTRADAY/HIGH FREQUENCY DATA FOR ALL IBOVESPA STOCKS

Autores

  • Alexander Souza Block Universidade Federal do Pampa
  • Paulo Sérgio Ceretta Universidade Federal de Santa Maria (UFSM)
  • Alexandre Costa Universidade Federal de Santa Maria (UFSM)

DOI:

https://doi.org/10.19177/reen.v8e32015171-186

Palavras-chave:

Keywords, Multidimensional Association, Maximal Information Coefficient, Coefficient of Determination, Ibovespa,

Resumo

In this paper we analyze three types of association measurements, the coefficient of determination, the multidimensional association and the maximal information coefficient, the first linear, and the other two nonlinear. We utilize 10 minutes intraday data of all Ibovespa stocks, that account for the main stock market index in Brazil, the Ibovespa. Not much of the methods used in this paper have been seen in finance literature, hence the motivation for this study. This methodology is meaningful to traders, as some stocks are highly correlated to the main index, one can base a strategy when they are trading independently in a given day as this pattern should revert to the mean. One of the most important findings of this work is that treating data as nonlinear yielded stronger results.

Biografia do Autor

  • Paulo Sérgio Ceretta, Universidade Federal de Santa Maria (UFSM)
    Professor na Universidade Federal de Santa Maria (UFSM)
    Doutor em Engenharia de Produção pela Universidade Federal de Santa Catarina (UFSC)
  • Alexandre Costa, Universidade Federal de Santa Maria (UFSM)

    Doutorando no PPGA da Universidade Federal de Santa Maria (UFSM)

    Mestre em Administração pela UFSM

Referências

BARNDORFF‐NIELSEN, O. E. and SHEPHARD, N. Econometric analysis of realized covariation: High frequency based covariance, regression, and correlation in financial economics. Econometrica 72, 3 (2004), 885-925.

CHIANG, T. C., JEON, B. N. and LI, H. Dynamic correlation analysis of financial contagion: Evidence from Asian markets. Journal of International Money and Finance 26, 7 (2007), 1206-1228.

CROXTON, F. E., COWDEN, D. J. and BOLCH, B. W. Practical business statistics, Prentice-Hall New York1969).

DRAPER, N. R. and SMITH, H. Applied regression analysis (wiley series in probability and statistics). (1998).

DUMAS, B., HARVEY, C. R. and RUIZ, P. Are correlations of stock returns justified by subsequent changes in national outputs? Journal of International Money and Finance 22, 6 (2003), 777-811.

EICHENGREEN, B., ROSE, A. K. and WYPLOSZ, C. Contagious currency crises. National Bureau of Economic Research (1996).

EMBRECHTS, P., LINDSKOG, F. and MCNEIL, A. Modelling dependence with copulas and applications to risk management. Handbook of heavy tailed distributions in finance 8, 1 (2003), 329-384.

EMBRECHTS, P., MCNEIL, A. and STRAUMANN, D. Correlation and dependence in risk management: properties and pitfalls. Risk management: value at risk and beyond (2002), 176-223.

ENGLE, R. Dynamic conditional correlation: A simple class of multivariate generalized autoregressive conditional heteroskedasticity models. Journal of Business & Economic Statistics 20, 3 (2002), 339-350.

ENGLE, R. F. and GRANGER, C. W. Co-integration and error correction: representation, estimation, and testing. Econometrica: journal of the Econometric Society (1987), 251-276.

FORBES, K. J. and RIGOBON, R. No contagion, only interdependence: measuring stock market comovements. The Journal of Finance 57, 5 (2002), 2223-2261.

GRANGER, C. and NEWBOLD, P. Spurious regressions in econometrics. Essays in Econometrics: Collected Papers of Clive WJ Granger 2 (2001), 109.

HASSLER, U. Nonsense regressions due to neglected time-varying means. Statistical Papers 44, 2 (2003), 169-182.

HIGHAM, N. J. Computing the nearest correlation matrix—a problem from finance. IMA journal of Numerical Analysis 22, 3 (2002), 329-343.

KAWALLER, KOCH and KOCH. The Temporal Proce Relationship between S&P 500 Futures and the S&P 500 Index

KEARNS, M. and RON, D. Algorithmic stability and sanity-check bounds for leave-one-out cross-validation. Neural Computation 11, 6 (1999), 1427-1453.

KING, M., SENTANA, E. and WADHWANI, S. Volatiltiy and Links Between National Stock Markets. National Bureau of Economic Research (1990).

KWON, Y.-K., CHOI, S.-S. and MOON, B.-R. Stock prediction based on financial correlation. ACM (2005), 2061-2066.

LALOUX, L., CIZEAU, P., BOUCHAUD, J.-P. and POTTERS, M. Noise dressing of financial correlation matrices. Physical Review Letters 83, 7 (1999), 1467.

LONGIN, F. and SOLNIK, B. Extreme correlation of international equity markets. The Journal of Finance 56, 2 (2001), 649-676.

LUNDIN, M. C., DACOROGNA, M. M. and MÜLLER, U. A. Correlation of high frequency financial time series. Available at SSRN 79848 (1998).

MARKOWITZ, H. PORTFOLIO SELECTION*. The Journal of Finance 7, 1 (1952), 77-91.

MAYSAMI, R. C., LEE, C. H. and HAMZAH, M. A. Relationship between macroeconomic variables and stock market indices: Cointegration evidence from stock exchange of Singapore’s All-S sector indices. Jurnal Pengurusan 24 (2005), 47-77.

MURRELL, B., MURRELL, D. and MURRELL, H. Discovering general multidimensional associations. arXiv preprint arXiv:1303.1828 (2013).

NAVARRO, P. If It's Raining in Brazil, Buy Starbucks: The Investor's Guide to Profiting from Market-moving Events, McGraw-Hill2002).

RESHEF, D. N., RESHEF, Y. A., FINUCANE, H. K., GROSSMAN, S. R., MCVEAN, G., TURNBAUGH, P. J., LANDER, E. S., MITZENMACHER, M. and SABETI, P. C. Detecting novel associations in large data sets. science 334, 6062 (2011), 1518-1524.

SALMON, F. The formula that killed Wall Street. Significance 9, 1 (2012), 16-20.

SIMON, N. and TIBSHIRANI, R. comment on “detecting novel associations in large data sets” by Reshef et al, Science dec 16, 2011. Science (2011).

SIMS, C. A. Statistical modeling of monetary policy and its effects. American Economic Review 102, 4 (2012), 1187.

SPEED, T. A Correlation for the 21st Century. science 334, 6062 (2011), 1502-1503.

WALTI, S. The macroeconomic determinants of stock market synchronization. Journal of International Banking Law 11, 10 (2005), 436-441.

Publicado

2016-03-27

Edição

Seção

Artigos Científicos