For the following statements You have to state if the statement given in the question is true or false and provide valid reasons for the choice ( one or two sentences)

a. The benefits of diversification cannot be achieved if two risk assets are positively correlated.

Is the above statement True or False? Give explanations.

b. The CAPM model implies that a stock with a higher standard deviation will have a higher expected return.

Is the above statement true or false? Give explanations.

c. Portfolio A has a positive alpha. Based on APT, a short position should be taken in this portfolio to achieve a risk-free excess return.

Is the above statement true or false? Give explanations.

d. Portfolio X composed of stocks B and C, which has zero a correlation, will always have a lower standard deviation than portfolio Y composed of positively correlated stocks D and E?

Is the above statement True or False? Give explanations.