could you please answer these with workings

5. Portfolio Analysis. [25 Marks] Here are retums and standard deviations for two stocks. Stock M Stock N Expected return (9'5) 18 10 Standard deviation ('94:) 36 32 Correlation .10 a. Calculate the expected return and standard deviation of a portfolio that is 50% invested in stock M and 50% invested in Stock N. Provide full details of your calculations. [4 Marks] b. What would be the standard deviation of the portfolio from part {a} if the correlation was +1, 0 and -l'? Provide full details of your calculations. [6 Marks] c. If the correlation between retums on stocks M and N declines from +1 to -1 here, what do you see happening to portfolio volatility? Whj Explain your answer. [5 Marks] d. What proportions would need to be invested in stock M and stock N to construct the minimum variance portfolio? {Assume the correlation is 0.1). Provide full details of your calculations. [5 Marks] e. What are the expected return and standard deviation of the minimum variance portfolio from part {d}? Provide ill details of your calculations. [5 Marks]