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The P/E ratio is the share price of the company/earnings per share. The alternate formula for calculating the cost of equity for a firm is: Cost of equity = (Dividends per share/Share price) * Growth rate of dividends. The higher the share price of a company, the higher the company's P/E ratio. Subsequently, the higher share price also means a lower cost of equity (using the alternate formula). Therefore on the flip side, the lower a company's share price, the lower its P/E ratio, but the higher its cost of equity.

The company with a P/E of 10x should have a share price that is smaller than the company that has a P/E of 20x, which would imply that its cost of equity is higher. However, this logic assumes that the other variables in the equation are similar for both firms.

 

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