Stock price overreaction seems always regarded as an essential issue in recent decades. Due to big data concerns, this study explores whether investors can make profits by trading the constituent stocks of DJ30, FTSE100, and SSE50 as stochastic oscillator indicator (SOI) staying in diverse overreaction zones including overbought and oversold, stricter overbought and oversold, and extreme overbought and oversold zones for consecutive days. Although we argue that the SOI staying in overreaction zones for consecutive days is often appeared in the real world, this issue, to our knowledge, seems unexplored in the existing literature. Results show that momentum strategies are appropriate for holding these stocks in the long run as the SOI staying in overbought zones, whereas contrarian strategies are proper for holding these stocks in the short run as the SOI staying in oversold zones. These revealed results may be beneficial for investors to trade these stocks as the SOI staying in overreaction zones for consecutive days.