EmanuelSommer / PortvineThesis

Code for the case studies and theoretical visualizations for the master thesis 'Estimation and Backtesting of the Expected Shortfall and Value at Risk using Vine Copulas'

Estimation and Backtesting of the Expected Shortfall and Value at Risk using Vine Copulas

An unconditional and conditional rolling window approach

This repository collects the code for all theoretical visualizations and case studies presented in my master thesis at the chair of Mathematical Statistics at the TUM with the title given above.

The heavily used portvine R package that I developed also while working on this project can be found HERE.

The repo is structured as follows:

• The theoretical visualizations for the thesis were created using the code in theoretical_viz.R.
• The data folder is not shared publicly as we partly use not freely available services. However as we use only daily log returns of publicly traded stocks one can easily and free of charge obtain the same data through services like Yahoo finance. Moreover the data folder holds all the results of the case study and performance measurement scripts that were run on a Linux Cluster of the Leibniz Supercomputing Centre in order to exploit the strong parallel processing capabilities of the portvine package. The provided computational resources are gratefully acknowledged.
• The code in raw_data_preprocessing.R provides tidy data to base the further analyses on.
• The code in profile_runtime.R was used to detect and then fix computational bottlenecks in the implementation of the portvine package.
• The scripts for the performance measurements of the portvine package are collected in the performance folder. The results of these scripts are visualized using the code in the performance_viz.R script.
• Many utility functions for the case studies are collected in the script analysis_utils.R. Please note that these functions are not intended for the general usage as they do not cover input checks, unit tests and are documented quite minimal. If you would like to use these functions do this with care.
• The code for the case studies regarding the portfolio of Spanish stocks from the MSCI Spain is collected in the analysis/msci_spain folder. There you can find all the scripts for the risk measure estimation that were submitted to the Linux cluster as well as the Rmarkdown document analysis_msci_spain.Rmd and corresponding html document analysis_msci_spain.html where all results are collected, visualized and commented. For a more rigorous and structured interpretation of the result you should consult my master thesis. There the case studies are embedded in the theoretical context.
• The img folder contains the final theoretical visualizations and the performance measurement visualizations.