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A Comparative Analysis of the Accuracy of the Value at Risk Estimation Methods on Indonesian Banking Stocks

Jurnal Matematika, Statistika dan Komputasi · Vol. 23 No. 1 (2026) · hlm. 136–146

DOI
10.20956/a1t1yd15
ISSN
2614-8811, 1858-1382
Terbit
2026-09-15
Penerbit
Department of Mathematics, Hasanuddin University
Bahasa
en
Lisensi
creativecommons.org/licenses/by/4.0

Abstrak

Risk measurement is an important aspect in investment decision-making in the capital market. This study aims to compare the performance of three Value at Risk methods, namely Variance–Covariance, Historical Simulation, and Monte Carlo Simulation, in estimating investment risk in the shares of PT. Bank Negara Indonesia (Persero) Tbk. (BBNI.JK), and PT. Bank Rakyat Indonesia (Persero) Tbk. (BBRI.JK). The study used daily closing price data for the period April 30, 2024, to April 30, 2025, were analyzed through return calculation, Kolmogorov–Smirnov normality test, VaR estimation at a confidence level of 95%, and model validation using Kupiec Backtesting. The results of the study showed that the three methods produced relatively consistent VaR estimates, with the VaR value of BBNI.JK shares being greater than BBRI.JK, which indicates a higher level of investment risk. The results of backtesting show that all methods meet the validity criteria and are therefore suitable for use in risk measurement. This study shows that the selection of the Value at Risk method needs to be adjusted to the characteristics of the return distribution and the objectives of risk analysis.

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  • State University of Makassar
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Naimah ArisAfiliasi tidak diketahui3
Budi NurwahyuAfiliasi tidak diketahui3
Muh NurAfiliasi tidak diketahui2
Khaeruddin KhaeruddinState University of Makassar1
Faisal FaisalAfiliasi tidak diketahui1
Islamiyah AbbasAfiliasi tidak diketahui1
Hasmawati BasirAfiliasi tidak diketahui1
Muh. Ali ImranAfiliasi tidak diketahui1
Aswad Hariri MangalaengAfiliasi tidak diketahui1
Indi Ria Al KadryAfiliasi tidak diketahui1
Ervie Yuniarti Astika Mustafaputri YuniartiAfiliasi tidak diketahui1
Heryati Nur Fatimah SariAfiliasi tidak diketahui1
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Sumber metadata: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 5 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en">A Comparative Analysis of the Accuracy of the Value at Risk Estimation Methods on Indonesian Banking Stocks</dc:title>
	<dc:creator xml:lang="en">Massalesse, Jusmawati</dc:creator>
	<dc:creator xml:lang="en">Cindy, Cindy</dc:creator>
	<dc:subject xml:lang="en">Value at Risk</dc:subject>
	<dc:subject xml:lang="en">Variance-Covariance</dc:subject>
	<dc:subject xml:lang="en">Historical Simulation</dc:subject>
	<dc:subject xml:lang="en">Monte Carlo Simulation</dc:subject>
	<dc:subject xml:lang="en">Mahematics</dc:subject>
	<dc:subject xml:lang="en">risk management</dc:subject>
	<dc:subject xml:lang="en">value at risk</dc:subject>
	<dc:description xml:lang="en">Risk measurement is an important aspect in investment decision-making in the capital market. This study aims to compare the performance of three Value at Risk methods, namely Variance–Covariance, Historical Simulation, and Monte Carlo Simulation, in estimating investment risk in the shares of  PT. Bank Negara Indonesia (Persero) Tbk. (BBNI.JK), and PT. Bank Rakyat Indonesia (Persero) Tbk. (BBRI.JK). The study used daily closing price data for the period April 30, 2024, to April 30, 2025, were analyzed through return calculation, Kolmogorov–Smirnov normality test, VaR estimation at a confidence level of 95%, and model validation using Kupiec Backtesting. The results of the study showed that the three methods produced relatively consistent VaR estimates, with the VaR value of BBNI.JK shares being greater than BBRI.JK, which indicates a higher level of investment risk. The results of backtesting show that all methods meet the validity criteria and are therefore suitable for use in risk measurement. This study shows that the selection of the Value at Risk method needs to be adjusted to the characteristics of the return distribution and the objectives of risk analysis.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2026-09-15</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en">Text</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/53063</dc:identifier>
	<dc:identifier>10.20956/a1t1yd15</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 23 No. 1 (2026): September 2026; 136-146</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/53063/15009</dc:relation>
	<dc:coverage xml:lang="en">The data for BBNI.JK and BBRI.JK cover the period from April 30, 2024, to April 30, 2025</dc:coverage>
	<dc:rights xml:lang="en">Copyright (c) 2026 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>