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In this study, the volatility of two Asian stock markets, Bursa Malaysia and Singapore Exchange, is estimated. The analysis used data on daily closing prices of the indices of the respective stock markets between July 1, 2019 and August 31, 2020. The sample is split into two subsample periods: Pre-COVID-19 pandemic and during the COVID-19 pandemic. We estimated a standard GARCH, GARCH-M, TGARCH, EGARCH and PGARCH model for each subsample. We chose the best GARCH that yielded the lowest Schwarz information criterion for the normal, skewed normal, Student's tdistribution, skewed Student's t-distribution, generalized error distribution (GED) and skewed GED. The results show that both stock market returns are quite persistent, and the persistence decreases for both stock market returns during the pandemic. Furthermore, the normal distribution performed well for Malaysian and Singaporean stock markets before the pandemic and switched to a Student's t (skewed normal) during the pandemic. The standard GARCH(1,1), GARCH-M(1,1), and EGARCH(1,1) performed well for both stock market returns, and the EGARCH indicates the presence of the leverage effect when stock market returns are negatively correlated to its volatility. Contribution/Originality: In this study, the volatility of the Malaysian and Singaporean stock market returns is examined and estimated with various GARCH models with different probability distributions in the loglikelihood function. The COVID-19 pandemic has altered the distributional properties of the GARCH models.

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