Ardia, David (2003): Analysis of dependencies in low frequency financial data sets.
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Abstract
This empirical study proposes a dependency analysis of monthly financial time series. We use the overlapping technique and non-parametric correlation in order to increase both accuracy and consistency. Copulas are used to test extreme co-movements between financial securities. Our results indicate that even in a low-frequency framework, the common practice of assuming independence over time should be taken with caution due to the presence of GARCH effects. In addition, extreme co-movements are observed across securities, especially for interest rates.
| Item Type: | MPRA Paper |
|---|---|
| Original Title: | Analysis of dependencies in low frequency financial data sets |
| Language: | English |
| Keywords: | dependencies; low-frequency; monthly; copula; GARCH |
| Subjects: | C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C10 - General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C13 - Estimation: General C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C14 - Semiparametric and Nonparametric Methods: General C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C50 - General G - Financial Economics > G2 - Financial Institutions and Services > G22 - Insurance; Insurance Companies |
| Item ID: | 12682 |
| Depositing User: | David Ardia |
| Date Deposited: | 13. Jan 2009 07:01 |
| Last Modified: | 14. Feb 2013 06:48 |
| References: | Black F.(1976). Studies of Stock Price Volatility Changes. Proceedings of the 1976 Meetings of the American Statistical Association, Business and Economic Statistics Section, pp. 177–181. Blum P., Dacorogna M. M., Jaeger L. (2003). Performance and risk measurement challenges for hedge funds: empirical considerations. Converium Ltd. internal document. Bollerslev T. (1986). Generalized Autoregressive Conditional Heteroscedaticity. Journal of Econometrics, vol. 31, pp. 307–327. Bouyé E., Durrleman V., Nikeghbali A., Riboulet G., Roncalli T. (2000). Copulas for Finance: A Reading Guide and Some Applications. Box G. E. P., Pierce D. A. (1970). Distribution of residuals autocorrelation in autoregressive integrated moving average time series models. Journal of American Statistics Association, vol. 65, pp. 1509–1526. Breymann W., Dias A. and Embrechts P. (2008). Dependence Structures for Multivariate High-Frequency Data in Finance. RiskLab research paper. Campbell J., Lo A. H., McKinlay C. (1999). The Econometrics of Financial Markets. Princeton, NJ: Princeton University Press. Christie A. (1982). The Stochastic Behavior of Common Stock Variances: Value, Leverage and Interest Rate Effects. Journal of Financial Economics, vol. 3, pp. 407–432. Cont R. (2001). Empirical properties of asset returns: sylized facts and statistical issues. Journal of Quantitative Finance, vol. 1, pp. 223–236. Dacorogna M. M., Gençay R., Müller U.A., Olsen R. B., Pictet O. V. (2001). An Introduction to High-Frequency Finance; Academic Press. Ding Z., Granger W. J., Engle R. F. (1993). A long memory property of stock market returns and a new model. Journal of Empirical Finance, vol. I, pp. 83–106. Embrechts P., McNeil A. J., Strauman D. (1999). Correlation: pitfalls and alternatives; ETHZ RiskLab research paper. Embrechts P., McNeil A. J., Strauman D. (1999). Correlation and dependence in risk management: properties and pitfalls; ETHZ RiskLab research paper. Engle F. (1982). Autoregressive Conditional Heteroscedaticity with Estimates of the Variance of United Kingdom Inflation. Econometrica, vol. 50, nr. 4, pp. 987–1007. Fama E. F. (1971). Efficient Capital Markets: A Review of Theory and Empirical Work. Journal of Finance, vol. 25, pp. 383–417. Fama E. F. (1991). Efficient Capital Markets: II. Journal of Finance, vol. 46, pp. 1575–1613. Hauksson H. A., Dacorogna M., Domenig T., Müller U. A., Samorodnitsky G. (2000). Multivariate extremes, aggregation and risk estimation. Quantitative Finance, vol. I, pp. 79–95. Hogg R. V., Craig A.T. (1995). Introduction to Mathematical Statistics; 5th edition; Macmillian – New York. Hull J. C. (2000). Options, Futures and Other Derivatives. Prentice-Hall International, Inc. Kaufmann R., Patie P. (2003). Strategic long-term financial risks: the one-dimensional case. ETHZ RiskLab research paper. Lehmann E. L., D'Abrera H. J. M. (1998). Nonparametrics: statistical methods based on ranks. Rev.ed., Englewood Cliffs NJ: Prentice-Hall. Lindskog F. (2000). Linear Correlation Estimation. ETHZ Risk Lab research paper. Ljung G. M., Box G. E. P. (1978). On a Measure of Lack of Fit in Time Series Models. Biometrika, vol. 65, nr. 2, pp. 297–303. Mandelbrot B. (1971). When can prices be arbitraged efficiently? A limit to the validity of random walk and martingale models. Review of Economics Statistics, vol. 53, pp. 225–236. Manzan S., Diks C. (2000). Testing for Independence and Linearity using the Correlation Integral. Mashal R., Zeevi A. (2002). Beyond Correlation: Extreme Co-Movements Between Financial Assets. Columbia University. Müller U. A. (1993). Statistics of variables observed over overlapping intervals. Olsen & Associate research paper. Müller U. A., Blum P., Wallin A. (2003). Bootstrapping the economy – a non-parametric method of generating consistent future scenarios. Converium Ltd. internal document. Nielsen H. A., Madsen H. (1998). Some Tools for Identification of Nonlinear Time Series; Technical Report 16; Technical University of Denmark. Pagan A. (1996). The Econometrics of Financial Markets. Journal of Empirical Finance, vol. 3, pp. 15–102. Rebonato R., Jäckel P. (1999). The most general methodology to create a valid correlation matrix for risk management and option pricing purposes. Quantitative Research Center of the NatWest Group. Strub O. (2000). On the Normality of Long-Term Financial Log-Returns. ETHZ diploma thesis. Taylor S. (1986). Modelling Financial Time Series. John Wiley & Sons. Wonnacott T. H., Wonnacott R. J. (2000). Statistique: Economie, gestion, science, médecine. Economica. Zivot E., Wang J. (2003). Modeling Financial Time Series with S-Plus. Springer |
| URI: | http://mpra.ub.uni-muenchen.de/id/eprint/12682 |


