This paper is to fit an appropriate model on the returns of daily stock price and determine the appropriate model for the residuals in order to compute some risk measures. The daily stock price of First Bank Nigeria, Plc was collected from Nigerian Stock Exchange Market. The methods of weekly average, regression imputation and repetition were used in computing the missing values. Also, adopted was deleting days with missing values. The method of transformation was determined in each of the series and log transformation was adopted for the four series. In the model selection, the ARMA+GARCH model of the repetition had the minimum AIC as compared to other methods of dealing with missing values. The distribution of the residuals was found to be suitable to the Generalized Parato Distribution (GPD). The parameters of this distribution were used in computation of risk measures. The computed Value at Risk (VaR) has a value of 49438.79 and that of the Expected Shortfall (ES) as 49291.24 with position of 1,000,000. This is an indication that the risk of investing in the stock of the First Bank Nigeria, Plc is eminent.
| Published in | American Journal of Theoretical and Applied Statistics (Volume 7, Issue 6) |
| DOI | 10.11648/j.ajtas.20180706.18 |
| Page(s) | 247-255 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2019. Published by Science Publishing Group |
Missing Value, Volatilitty, Stock Price, Residuals, Transformation, Value at Risk, Expected Shortfall
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APA Style
Udokang Anietie Edem, Ugwuowo Fidelis Ifeanyi. (2019). Modeling the Residuals of Financial Time Series with Missing Values for Risk Measures Using R. American Journal of Theoretical and Applied Statistics, 7(6), 247-255. https://doi.org/10.11648/j.ajtas.20180706.18
ACS Style
Udokang Anietie Edem; Ugwuowo Fidelis Ifeanyi. Modeling the Residuals of Financial Time Series with Missing Values for Risk Measures Using R. Am. J. Theor. Appl. Stat. 2019, 7(6), 247-255. doi: 10.11648/j.ajtas.20180706.18
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Download@article{10.11648/j.ajtas.20180706.18,
author = {Udokang Anietie Edem and Ugwuowo Fidelis Ifeanyi},
title = {Modeling the Residuals of Financial Time Series with Missing Values for Risk Measures Using R},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {7},
number = {6},
pages = {247-255},
doi = {10.11648/j.ajtas.20180706.18},
url = {https://doi.org/10.11648/j.ajtas.20180706.18},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20180706.18},
abstract = {This paper is to fit an appropriate model on the returns of daily stock price and determine the appropriate model for the residuals in order to compute some risk measures. The daily stock price of First Bank Nigeria, Plc was collected from Nigerian Stock Exchange Market. The methods of weekly average, regression imputation and repetition were used in computing the missing values. Also, adopted was deleting days with missing values. The method of transformation was determined in each of the series and log transformation was adopted for the four series. In the model selection, the ARMA+GARCH model of the repetition had the minimum AIC as compared to other methods of dealing with missing values. The distribution of the residuals was found to be suitable to the Generalized Parato Distribution (GPD). The parameters of this distribution were used in computation of risk measures. The computed Value at Risk (VaR) has a value of 49438.79 and that of the Expected Shortfall (ES) as 49291.24 with position of 1,000,000. This is an indication that the risk of investing in the stock of the First Bank Nigeria, Plc is eminent.},
year = {2019}
}
TY - JOUR T1 - Modeling the Residuals of Financial Time Series with Missing Values for Risk Measures Using R AU - Udokang Anietie Edem AU - Ugwuowo Fidelis Ifeanyi Y1 - 2019/01/10 PY - 2019 N1 - https://doi.org/10.11648/j.ajtas.20180706.18 DO - 10.11648/j.ajtas.20180706.18 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 247 EP - 255 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.20180706.18 AB - This paper is to fit an appropriate model on the returns of daily stock price and determine the appropriate model for the residuals in order to compute some risk measures. The daily stock price of First Bank Nigeria, Plc was collected from Nigerian Stock Exchange Market. The methods of weekly average, regression imputation and repetition were used in computing the missing values. Also, adopted was deleting days with missing values. The method of transformation was determined in each of the series and log transformation was adopted for the four series. In the model selection, the ARMA+GARCH model of the repetition had the minimum AIC as compared to other methods of dealing with missing values. The distribution of the residuals was found to be suitable to the Generalized Parato Distribution (GPD). The parameters of this distribution were used in computation of risk measures. The computed Value at Risk (VaR) has a value of 49438.79 and that of the Expected Shortfall (ES) as 49291.24 with position of 1,000,000. This is an indication that the risk of investing in the stock of the First Bank Nigeria, Plc is eminent. VL - 7 IS - 6 ER -
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