ESTIMASI NILAI CONDITIONAL VALUE AT RISK MENGGUNAKAN FUNGSI GAUSSIAN COPULA

  • HERLINA HIDAYATI Faculty of Mathematics and Natural Sciences, Udayana University
  • KOMANG DHARMAWAN Faculty of Mathematics and Natural Sciences, Udayana University
  • I WAYAN SUMARJAYA Faculty of Mathematics and Natural Sciences, Udayana University
##plugins.pubIds.doi.readerDisplayName## https://doi.org/10.24843/MTK.2015.v04.i04.p110

Abstrak

Copula is already widely used in financial assets, especially in risk management. It is due to the ability of copula, to capture the nonlinear dependence structure on multivariate assets. In addition, using copula function doesn’t require the assumption of normal distribution. There fore it is suitable to be applied to financial data. To manage a risk the necessary measurement tools can help mitigate the risks. One measure that can be used to measure risk is Value at Risk (VaR). Although VaR is very popular, it has several weaknesses. To overcome the weakness in VaR, an alternative risk measure called CVaR can be used. The porpose of this study is to estimate CVaR using Gaussian copula. The data we used are the closing price of Facebook and Twitter stocks. The results from the calculation using 90%  confidence level showed that the risk that may be experienced is at 4,7%, for 95% confidence level it is at 6,1%, and for 99% confidence level it is at 10,6%.

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##submission.authorBiographies##

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Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
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Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
##submission.authorWithAffiliation##
Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University
Diterbitkan
2015-11-24
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HIDAYATI, HERLINA; DHARMAWAN, KOMANG; SUMARJAYA, I WAYAN. ESTIMASI NILAI CONDITIONAL VALUE AT RISK MENGGUNAKAN FUNGSI GAUSSIAN COPULA. E-Jurnal Matematika, [S.l.], v. 4, n. 4, p. 188-194, nov. 2015. ISSN 2303-1751. Tersedia pada: <https://ojs.unud.ac.id/index.php/mtk/article/view/16642>. Tanggal Akses: 14 oct. 2025 doi: https://doi.org/10.24843/MTK.2015.v04.i04.p110.
Bagian
Articles

Kata Kunci

portfolio; copula; CVaR; Gaussian copula

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