This study estimates IMAX and IMIN to measure lottery and hazard stocks, and investigates how investors’ reactions to these extreme returns affect the cross-section of stock returns. We show that IMAX is negatively related to future returns and measures lottery stocks. Furthermore, we show that IMIN also has a negative relationship with future returns, contrary to theory, suggesting the existence of the IMIN anomaly in the Korean stock market. IMIN anomaly, which is caused by investors’ under-reaction to hazard stocks, is significant even after controlling various variables explaining the cross-sectional characteristics of stocks, and lasts for at least 24 months. Moreover, we show that the IMIN anomaly exists significantly even after controlling factors related to investors’ under-reaction, such as investor attention, information uncertainty, and limits to arbitrage. However, IMIN anomaly weakens as the stock market demonstrates more efficiency and transparency.