Which of the following regarding the mean and variance of a portfolio of two stocks is false?
A) $$E \left( R _ { y } \right) = \left( w _ { 1 } + w _ { 2 } \right) \left[ E \left( R _ { 1 } \right) + E \left( R _ { 2 } \right) \right]$$
B) $$V \left( R _ { y } \right) = w _ { 1 } ^ { 2 } V \left( R _ { 1 } \right) + w _ { 2 } ^ { 2 } V \left( R _ { 2 } \right) + 2 w _ { 1 } w _ { 2 } \operatorname { COV } \left( R _ { 1 } R _ { 2 } \right)$$
C) $$V \left( R _ { y } \right) = w _ { 1 } ^ { 2 } \sigma _ { 1 } ^ { 2 } + w _ { 2 } ^ { 2 } \sigma _ { 2 } ^ { 2 } + 2 w _ { 1 } w _ { 2 } \rho \sigma _ { 1 } \sigma _ { 2 }$$
D) $$E \left( R _ { y } \right) = w _ { 1 } E \left( R _ { 1 } \right) + w _ { 2 } E \left( R _ { 2 } \right)$$

Question

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The Answer of Which of the following regarding the mean and variance of a portfolio of two stocks is false?
A) $$E \left( R _ { y } \right) = \left( w _ { 1 } + w _ { 2 } \right) \left[ E \left( R _ { 1 } \right) + E \left( R _ { 2 } \right) \right]$$
B) $$V \left( R _ { y } \right) = w _ { 1 } ^ { 2 } V \left( R _ { 1 } \right) + w _ { 2 } ^ { 2 } V \left( R _ { 2 } \right) + 2 w _ { 1 } w _ { 2 } \operatorname { COV } \left( R _ { 1 } R _ { 2 } \right)$$
C) $$V \left( R _ { y } \right) = w _ { 1 } ^ { 2 } \sigma _ { 1 } ^ { 2 } + w _ { 2 } ^ { 2 } \sigma _ { 2 } ^ { 2 } + 2 w _ { 1 } w _ { 2 } \rho \sigma _ { 1 } \sigma _ { 2 }$$
D) $$E \left( R _ { y } \right) = w _ { 1 } E \left( R _ { 1 } \right) + w _ { 2 } E \left( R _ { 2 } \right)$$

Which of the Following Regarding the Mean and Variance of a Portfolio