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Market portfolio has an expected return of 10% and a volatility of 20%. Apple’s stock has a volatility 30%.<a> Given its higher volatility, should we expect Apple to have an equity cost of capital that higher than 10%?

Question

Market portfolio has an expected return of 10% and a volatility of 20%. Apple’s stock has a volatility 30%.<a> Given its higher volatility, should we expect Apple to have an equity cost of capital that higher than 10%?

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Solution

Yes, we should expect Apple to have an equity cost of capital that is higher than 10%. This is because the cost of equity capital is directly related to the risk associated with the investment. The higher the risk, the higher the expected return an investor would require to invest in the stock. In this case, Apple's stock has a higher volatility (30%) compared to the market portfolio (20%), indicating that it is riskier. Therefore, investors would require a higher return to compensate for the additional risk, leading to a higher equity cost of capital.

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