Most Volatile Penny Stocks This is a list of most volatile penny stocks today sorted by volume with trading volume of at least 50,000. These penny stocks are traded under NYSE, NASDAQ and AMEX with the largest percentage change between the high and low of the day. Given the impact of the Syrian crisis and the overall upmove in the commodity stocks, Western Copper & Gold features prominently in the list of most volatile penny stocks. Currently trading above its 50-day moving averages, the stock has hit its floor around $1.20 last December. Penny stocks can be super volatile, which is good for day trading. However, on the other side of the coin, these stocks can also lay dead in the water. However, on the other side of the coin, these stocks can also lay dead in the water.