THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK

The Value at Risk (VaR) method refers to a statistical risk measurement tool used to determine the maximum loss of an investment, while the distribution that must be met is the normal distribution. This is not in line with the actual situation, because the distribution of the return value is found t...

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Main Authors: Alimatun Najiha, Erna Tri Herdiani, Georgina Maria Tinungki
Format: Article
Language:English
Published: Universitas Pattimura 2023-04-01
Series:Barekeng
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Online Access:https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6953
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author Alimatun Najiha
Erna Tri Herdiani
Georgina Maria Tinungki
author_facet Alimatun Najiha
Erna Tri Herdiani
Georgina Maria Tinungki
author_sort Alimatun Najiha
collection DOAJ
description The Value at Risk (VaR) method refers to a statistical risk measurement tool used to determine the maximum loss of an investment, while the distribution that must be met is the normal distribution. This is not in line with the actual situation, because the distribution of the return value is found to be not normally distributed but depends on market conditions that occurred at that time, thus invalidating the VaR estimate and resulting in greater portfolio risk. Therefore, in this study, the estimation of risk value will be carried out using the Gumbel Copula method which can model the dependency structure between stocks and is flexible enough to model financial return data from https://finance.yahoo.com/. The parameter estimates produced by the Gumbel Copula method are then used to calculate the VaR at 90%, and 99% confidence levels. The resulting VaR values ​​are 0,076 and 0.231. To test the feasibility of the VaR model, backtesting was carried out and concluded that the VaR value obtained was valid and suitable for use in the risk assessment of PT. XL Axiata Tbk and PT. Telkomunikasi Indonesia Tbk.
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spelling doaj-art-6841b95099a14cbe85d985ddaf564e6b2025-08-20T04:00:55ZengUniversitas PattimuraBarekeng1978-72272615-30172023-04-011710245025210.30598/barekengvol17iss1pp0245-02526953THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCKAlimatun Najiha0Erna Tri Herdiani1Georgina Maria Tinungki2Department of Statistics, Faculty of Mathematics and Natural Sciences,Universitas Hasanuddin, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Sciences,Universitas Hasanuddin, IndonesiaDepartment of Statistics, Faculty of Mathematics and Natural Sciences,Universitas Hasanuddin, IndonesiaThe Value at Risk (VaR) method refers to a statistical risk measurement tool used to determine the maximum loss of an investment, while the distribution that must be met is the normal distribution. This is not in line with the actual situation, because the distribution of the return value is found to be not normally distributed but depends on market conditions that occurred at that time, thus invalidating the VaR estimate and resulting in greater portfolio risk. Therefore, in this study, the estimation of risk value will be carried out using the Gumbel Copula method which can model the dependency structure between stocks and is flexible enough to model financial return data from https://finance.yahoo.com/. The parameter estimates produced by the Gumbel Copula method are then used to calculate the VaR at 90%, and 99% confidence levels. The resulting VaR values ​​are 0,076 and 0.231. To test the feasibility of the VaR model, backtesting was carried out and concluded that the VaR value obtained was valid and suitable for use in the risk assessment of PT. XL Axiata Tbk and PT. Telkomunikasi Indonesia Tbk.https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6953gumbel copulavalue at riskbacktesting
spellingShingle Alimatun Najiha
Erna Tri Herdiani
Georgina Maria Tinungki
THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK
Barekeng
gumbel copula
value at risk
backtesting
title THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK
title_full THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK
title_fullStr THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK
title_full_unstemmed THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK
title_short THE APPLICATION OF GUMBEL COPULA TO ESTIMATE VALUE AT RISK WITH BACKTESTING IN TELECOMMUNICATION STOCK
title_sort application of gumbel copula to estimate value at risk with backtesting in telecommunication stock
topic gumbel copula
value at risk
backtesting
url https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6953
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