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Random Correlation Matrix and De-Noising

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Author Info
Ken-ichi Mitsui () (Doctor Candidate of Osaka University)
Yoshio Tabata () (Graduate School of Business Administration, Nanzan Univeristy)
Abstract

In Finance, the modeling of a correlation matrix is one of the important problems. In particular, the correlation matrix obtained from market data has the noise. Here we apply the de-noising processing based on the wavelet analysis to the noisy correlation matrix, which is generated by a parametric function with random parameters. First of all, we show that two properties, i.e. symmetry and ones of all diagonal elements, of the correlation matrix preserve via the de-noising processing and the efficiency of the de-nosing processing by numerical experiments. We propose that the de-noising processing is one of the effective methods in order to reduce the noise in the noisy correlation matrix.

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File URL: http://www2.econ.osaka-u.ac.jp/library/global/dp/0626.pdf
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Publisher Info
Paper provided by Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP) in its series Discussion Papers in Economics and Business with number 06-26.

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Length: 25 pages
Date of creation: Sep 2006
Date of revision:
Handle: RePEc:osk:wpaper:0626

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Web page: http://www.econ.osaka-u.ac.jp/
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Related research
Keywords: correlation matrix; calibration; rank reduction; de-noising; wavelet analysis;

Find related papers by JEL classification:
C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis
C63 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Computational Techniques
G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Capital and Ownership Structure

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Massimo Morini & Nick Webber, 2006. "An EZI Method to Reduce the Rank of a Correlation Matrix in Financial Modelling," Applied Mathematical Finance, Taylor and Francis Journals, vol. 13(4), pages 309-331, December. [Downloadable!] (restricted)
  2. Frank de Jong & Joost Driessen & Antoon Pelsser, 2004. "On the Information in the Interest Rate Term Structure and Option Prices," Review of Derivatives Research, Springer, vol. 7(2), pages 99-127, 08. [Downloadable!]
  3. Grubišić, I. & Pietersz, R., 2005. "Efficient Rank Reduction of Correlation Matrices," Research Paper ERS-2005-009-F&A Revision, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
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