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Capital gains on no-dividend stocks - a theoretical question
Stock prices are set by the market - supply and demand. See Apple for example, which is exactly the company you described: tons of earnings, zero dividends. The stock price goes up and down depending on what happens with the company and how investors feel about it, and it can happen that the total value of the outstanding stock shares will be less than the value of the underlying assets of the company (including the cash resulted from the retained earnings). It can happen, also, that if the investors feel that the stock is not going to appreciate significantly, they will vote to distribute dividends. Its not the company's decision, its the board's. The board is appointed by the shareholders, which is exactly why the voting rights are important.