Assignment
a. Select the stocks of three publicly traded companies from different industries. State the criteria for selecting those securities.
b. Retrieve monthly data on adjusted closing prices of your securities from Yahoo
Finance for the past 10 years.
a. Calculate the mean, variance, and the standard deviation of each security's annual rate of return.
b. Calculate the correlation coefficient between every possible pair of securities' annual rates of return.
c. Choose percentages of your initial investment that you want to allocate amongst the five securities (weights in the portfolio). Create embedded formulae which generate statistical properties of the portfolio upon insertion of the weights. Observe the mean, the standard deviation, and the CV of the annual rate of return of the portfolio.
d. Find the combination of the weights that minimizes CV of the portfolio. How the CV of the optimal portfolio compares with the CV's of its constituents. What is the expected rate of return and standard deviation of the rate of return of the portfolio?
e. Choose different values within the range of the standard deviation of the portfolio, and for each chosen value locate the corresponding point on the efficient frontier by finding the weights that maximize the expected rate of return of the portfolio. Subsequently, construct the efficient frontier of your portfolio.
f. Assume that you initially invested $1,000,000 in the portfolio and that the distribution of the annual rate of return of the portfolio is normal. What is the distribution of the return of the portfolio 20 years after its formation? Provide the graph of the distribution of the return of portfolio.
Format your assignment according to the give formatting requirements:
a. The answer must be double spaced, typed, using Times New Roman font (size 12), with one-inch margins on all sides.
b. The response also includes a cover page containing the title of the assignment, the course title, the student's name, and the date. The cover page is not included in the required page length.
c. Also include a reference page. The references and Citations should follow APA format. The reference page is not included in the required page length.