This is a grave simplification but here goes:
There are companies which pay dividends (a portion of the company’s profit) to their shareholders and companies which don’t. If you get paid dividends (and reinvest them) you basically have compound interest even if the stock value doesn’t change (which they always do, constantly).
With that being said, if you buy shares you expect them to become more valuable over time as the company becomes more valuable (at a higher rate than the interests of a savings account).
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