An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models.
This paper introduces a new estimator to measure the ex-post covariation between high-frequency financial time series under market microstructure noise. We provide anasymptotic limit theory (including feasible central limit theorems) for standard methods such as regression, correlation analysis and...
| Príomhchruthaitheoirí: | , |
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| Formáid: | Working paper |
| Teanga: | English |
| Foilsithe / Cruthaithe: |
Oxford-Man Institute of Quantitative Finance
2008
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| _version_ | 1826292946608062464 |
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| author | Kinnebrock, S Poldolskij, M |
| author_facet | Kinnebrock, S Poldolskij, M |
| author_sort | Kinnebrock, S |
| collection | OXFORD |
| description | This paper introduces a new estimator to measure the ex-post covariation between high-frequency financial time series under market microstructure noise. We provide anasymptotic limit theory (including feasible central limit theorems) for standard methods such as regression, correlation analysis and covariance, for which we obtain the optimal rate of convergence. We demonstrate some positive semidefinite estimators of the covariation and construct a positive semidefinite estimator of the conditional covariance matrix in the central limit theorem. Furthermore, we indicate how the assumptions on the noise process can be relaxed and how our method can be applied to non-synchronous observations. We also present an empirical study of how high-frequency correlations, regressions and covariances change through time. |
| first_indexed | 2024-03-07T03:22:32Z |
| format | Working paper |
| id | oxford-uuid:b7e8fd75-6f9c-4bd8-9cff-d58a7a383267 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:22:32Z |
| publishDate | 2008 |
| publisher | Oxford-Man Institute of Quantitative Finance |
| record_format | dspace |
| spelling | oxford-uuid:b7e8fd75-6f9c-4bd8-9cff-d58a7a3832672022-03-27T04:52:08ZAn Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models.Working paperhttp://purl.org/coar/resource_type/c_8042uuid:b7e8fd75-6f9c-4bd8-9cff-d58a7a383267EnglishDepartment of Economics - ePrintsOxford-Man Institute of Quantitative Finance2008Kinnebrock, SPoldolskij, MThis paper introduces a new estimator to measure the ex-post covariation between high-frequency financial time series under market microstructure noise. We provide anasymptotic limit theory (including feasible central limit theorems) for standard methods such as regression, correlation analysis and covariance, for which we obtain the optimal rate of convergence. We demonstrate some positive semidefinite estimators of the covariation and construct a positive semidefinite estimator of the conditional covariance matrix in the central limit theorem. Furthermore, we indicate how the assumptions on the noise process can be relaxed and how our method can be applied to non-synchronous observations. We also present an empirical study of how high-frequency correlations, regressions and covariances change through time. |
| spellingShingle | Kinnebrock, S Poldolskij, M An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. |
| title | An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. |
| title_full | An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. |
| title_fullStr | An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. |
| title_full_unstemmed | An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. |
| title_short | An Econometric Analysis of Modulated Realised Covariance, Regression and Correlation in Noisy Diffusion Models. |
| title_sort | econometric analysis of modulated realised covariance regression and correlation in noisy diffusion models |
| work_keys_str_mv | AT kinnebrocks aneconometricanalysisofmodulatedrealisedcovarianceregressionandcorrelationinnoisydiffusionmodels AT poldolskijm aneconometricanalysisofmodulatedrealisedcovarianceregressionandcorrelationinnoisydiffusionmodels AT kinnebrocks econometricanalysisofmodulatedrealisedcovarianceregressionandcorrelationinnoisydiffusionmodels AT poldolskijm econometricanalysisofmodulatedrealisedcovarianceregressionandcorrelationinnoisydiffusionmodels |