The information concerning the 1-year covariances and mean values of the rates of return on five securities is shown in Table 1 (The data is also given in the excel workbook for your convenience.) The mean values are expressed on a percentage basis, whereas the covariances are expressed in units of (percent)?/100. For example, the first security has an expected rate of return of 15.1% = 0.151 and a variance of return of 0.023. (a) Find the minimum variance set formed by these five securities. You can use a software to solve linear equations. (b) In the r-o diagram, plot the minimum variance set and the five securities (one curve and five dots). (C) Suppose that the risk-free rate of return is 4%. Find the one fund. In the 7 - o diagram, plot the minimum variance set, the five securities, the one fund, and the efficient frontier (the straight line connecting the one fund and the risk-free asset). You can carry out all the three parts (a), (b), and (c) in Jupyter Notebook. 1 Table 1: Covariances and mean values of the rates of return on five securities. Security 1 2 3 4 5 Covariance V 2.30 0.93 0.62 0.74 -0.23 0.93 1.40 0.22 0.56 0.26 0.62 0.22 1.80 0.78 0.27 0.74 0.56 0.78 3.40 -0.56 -0.23 0.26 0.27 -0.56 2.60 r 15.1 12.5 14.7 9.02 17.68 The information concerning the 1-year covariances and mean values of the rates of return on five securities is shown in Table 1 (The data is also given in the excel workbook for your convenience.) The mean values are expressed on a percentage basis, whereas the covariances are expressed in units of (percent)?/100. For example, the first security has an expected rate of return of 15.1% = 0.151 and a variance of return of 0.023. (a) Find the minimum variance set formed by these five securities. You can use a software to solve linear equations. (b) In the r-o diagram, plot the minimum variance set and the five securities (one curve and five dots). (C) Suppose that the risk-free rate of return is 4%. Find the one fund. In the 7 - o diagram, plot the minimum variance set, the five securities, the one fund, and the efficient frontier (the straight line connecting the one fund and the risk-free asset). You can carry out all the three parts (a), (b), and (c) in Jupyter Notebook. 1 Table 1: Covariances and mean values of the rates of return on five securities. Security 1 2 3 4 5 Covariance V 2.30 0.93 0.62 0.74 -0.23 0.93 1.40 0.22 0.56 0.26 0.62 0.22 1.80 0.78 0.27 0.74 0.56 0.78 3.40 -0.56 -0.23 0.26 0.27 -0.56 2.60 r 15.1 12.5 14.7 9.02 17.68