This research uses R statistical software to obtain research data, which was collected during the period from January 2016 to March 2023. A total of 87 common monthly data are used to explore TGARCH Risk Threshold Relationship between TAIEX and Emerging Market Funds, European Stock Indexes, Pacific Stock Indexes, Short-Term Bond Indexes, S&P 500 Stock Indexes. The empirical results indicate that when comparing stock price returns before and after the pandemic, all samples except RTW (17.8%) showed a decline in returns during the pandemic. All samples showed an increased risk in the pandemic. REM, REP, RPM, RSB and RSP had significant positive effects on RTW. REM and RPM have risk negative thresholds for RTW.