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Chartered Financial Analyst Level 2

Chartered Financial Analyst Level 2

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The returns of stocks X and Y are given by a macroeconomic factor model and expressed as follows:

RX=0.08−0.05F1+0.03F2+εXR_X = 0.08 - 0.05F_1 + 0.03F_2 + \varepsilon_XRX​=0.08−0.05F1​+0.03F2​+εX​
RY=0.16+0.02F1+0.04F2+εYR_Y = 0.16 + 0.02F_1 + 0.04F_2 + \varepsilon_YRY​=0.16+0.02F1​+0.04F2​+εY​

where F1F_1F1​ and F2F_2F2​ reflect surprises in two macroeconomic factors. If a portfolio has one quarter of its investment in Stock X and the rest in Stock Y, the portfolio's expected return is closest to:

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