Publication Date
2025
Document Type
Dissertation/Thesis
First Advisor
Cheng, Ai-ru
Second Advisor
Anderson, Evan
Degree Name
Ph.D. (Doctor of Philosophy)
Legacy Department
Department of Economics
Abstract
This dissertation consists of two papers. The first paper introduces DCC-SVR, a hybrid Dynamic Conditional Correlation (DCC) and Support Vector Regression (SVR) method of forecasting the covariance matrix. This paper shows that DCC-SVR is able to outperform the traditional methods of DCC and rolling historical on multiple data sets. Performance is shown for both standard GARCH and GJR-GARCH methods. This paper also analyzes performance when dimensions are increased to 49 dimensions and when an application using equal weighted portfolio allocation is used.
The second paper introduces a covariance matrix forecasting method based on copula-GARCH simulated returns. The accuracy of this method is compared against the traditional forecasting methods of Dynamic Conditional Correlation (DCC) and rolling historical. The results found the Clayton vine copula dependency structure performed best and ultimately led to superior forecasts over traditional methods. This is shown to be due to an increased accuracy in modeling the correlation structure of the assets. To ensure robustness of the results, multiple datasets and loss functions are used in the analysis.
Recommended Citation
Nebor, Michael, "Covariance Matrix Forecasting of Equity Portfolios" (2025). Graduate Research Theses & Dissertations. 8129.
https://huskiecommons.lib.niu.edu/allgraduate-thesesdissertations/8129
Extent
73 pages
Language
en
Publisher
Northern Illinois University
Rights Statement
In Copyright
Rights Statement 2
NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.
Media Type
Text
