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All Journal International Journal of Quantitative Research and Modeling
Saskia Iqlima Bilhaq
Mathematics Undergraduate Study Program, Faculty of Mathematics and Natural Sciences, Padjadjaran University, Sumedang, Indonesia
Computer Science & IT Decision Sciences, Operations Research & Management Engineering Environmental Science Physics

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Value-at-Risk (VaR) Modeling of LQ45 Stocks Using the GARCH Approach Saskia Iqlima Bilhaq; Rona Afiya Muthmainah; Moch Panji Agung Saputra
International Journal of Quantitative Research and Modeling Vol. 6 No. 4 (2025): International Journal of Quantitative Research and Modeling
Publisher : Research Collaboration Community (RCC)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijqrm.v6i4.1112

Abstract

This study aims to model volatility and measure market risk of leading Indonesian stocks included in the LQ45 index using the GARCH approach. Daily closing price data from September 2022 to August 2025 were analyzed to estimate conditional volatility and Value-at-Risk (VaR) at 95% and 99% confidence levels. The GARCH model was selected to capture volatility clustering and conditional heteroskedasticity in stock returns. Residual distributions considered include normal, Student-t, and skewed-t to improve risk estimation, particularly for extreme events. Results indicate that most stocks are best modeled by GARCH(1,1) with a Student-t distribution, reflecting fat tails in return data. VaR estimates provide realistic maximum potential losses varying across stocks, with UNVR and ADRO showing relatively higher risk levels. Backtesting through Kupiec and Christoffersen tests confirms the accuracy and reliability of the GARCH-based VaR model for risk management. This study offers practical insights for investors and portfolio managers in understanding and managing risk exposures of top Indonesian stocks.
Co-Authors Moch Panji Agung Saputra Rona Afiya Muthmainah