6. (Total: 15 marks) A portfolio manager creates the following portfolio: Assets S1 S2 Three month Treasury bill Expected Annual Return % Annual Standard Deviation % 16% 20% 12% 10% 5% 0 The correlation of the two securities' returns is assumed to be -0.5. (a) [6 marks) Find the weights in market portfolio, which consists of two risky assets (S1 and S2), and the risk of this portfolio. (b) (4 marks) Describe the systematic and nonsystematic risk components of the three month Treasury bill and this market portfolio. (c) (5 marks] Suppose that the manager invests $10,000 in the market portfolio. Calculate the 10-day 99% confidence level value of risk for this portfolio