Jane is considering investing in three different securities or creating three distinctive two-factor portfolios. She is able to obtain the monthly returns of securities A, B & C for the years 2007 to 2014 (The attached file (Stock returns 2007-14) gives 96 monthly returns for three securities along with the returns of the NZX all share index for the period January 2007 and December 2014).
In any of the possible two factor portfolios, the weight of each security in the portfolio will be 50%. The three possible portfolio combinations are AB, AC and BC.
Required:
a) Determine, using the appropriate Excel function (see fx) the average monthly return, the standard deviation and variance for each of the companies. (Use the 96 months returns data in the calculations and use the Excel functions identified as “Variance P” and “Standard Deviation P”.)
b) Determine, using the appropriate Excel function the covariances between securities A&B; B&C; A&C. (Use the 96 months returns data in the calculations and use the Excel function“COVARIANCE P”.)
c) Calculate using the two-factor portfolio equations, the portfolio returns and risks (standard deviation and variance) for the following portfolios:
a.A and B
b.B and C
c.C and A
d)Would you recommend that Jane invest in the single securities of A, B or C or the portfolios consisting of securities A&B or A&C or B&C? Explain your answer from a risk-return view point.
e)Determine the betas Security A, a utility company, security B, a construction company, and security C, a manufacturing company by regressing the returns foreach of the companies on the returns for the NZX ALL Share Index (the first column in the spread-sheet).
(Regression Calculation: Go to Data Analysis - far right under Data- and choose regression. If Data Analysis does not appear it must be added, it will be available in Excel. Go to Options under File and choose Add-ins and then Data Analysis the company returns constitute the Y input and the index returns the X input. Alternatively, the “slope” found in f(x) also represents Beta).
a. Explain what the values of the betas (the slope coefficients in the regression) indicate and discuss the factors that might explain the differences in the values of the betas of the three companies.
b. Comment on the implications of the estimated value of beta for investors and the cost of capital for the two