Earnings per share (EPS) is an important financial measure, which indicates the profitability of a company. It is a tool that market participants use frequently to gauge the profitability of a company before buying its share.
If a company is posting continuous EPS growth year after year, it could be a sign that the company can sustain profits over time.
However, high EPS of a stock alone does not make a stock good for investing. What shall be more interesting for investors is a combination of high EPS and low price to earnings ratio (PE ratio).