(a) An investor has invested in 2 assets Sculpit shares and Savoy shares. The investor currently holds 1,000 units of Sculpit shares and 1,500 Units of Savoy shares. The market price for the Sculpit and Savoy shares are Rs 100 and Rs 200 respectively. The expected returns on Sculpit and Savoy shares are 15% and 10% respectively. The standard deviation of the Sculpit and Savoy shares are 6% and 3% respectively. The correlation coefficient between the Sculpit and Savoy shares is -0.6. REQUIRED (i) Calculate the proportion of investment made by the investor in the Sculpit shares and Savoy shares. [4 marks] (ii) Calculate the expected return of the portfolio. [3 marks] (iii) Calculate the standard deviation of the portfolio. [5 marks] (iv) Calculate the proportion that needs to be invested on Savoy shares to achieve the minimum variance portfolio. [5 marks]