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Consider 5 securities: Exxon Mobil, Toyota, Este Lauder, Coca-Cola, and Disney and retrieve their returns on Yahoo!Finance (attached data set). Calculate the mean, variance, and

Consider 5 securities: Exxon Mobil, Toyota, Este Lauder, Coca-Cola, and Disney and retrieve their returns on Yahoo!Finance (attached data set).

  1. Calculate the mean, variance, and the standard deviation of each securitys annual rate of return.
  2. Calculate the correlation coefficient between every possible pair of securities annual rates of return.
  3. Choose percentages of your initial investment that you want to allocate amongst the five (5) 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.
  4. Find the combination of the weights that minimizes CV of the portfolio. How the CV of the optimal portfolio compares with the CVs of its constituents. What is the expected rate of return and standard deviation of the rate of return of the portfolio?
  5. 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.
  6. 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.
  7. EXXON TOYOTA ESTE LAUDER COCA-COLA DISNEY
    Date Adj Close Adj Close Adj Close Adj Close Adj Close
    7/1/2019 68.825836 125.115807 182.476944 50.537811 141.28334
    8/1/2019 63.383446 126.647636 196.148605 52.852009 136.442535
    9/1/2019 66.167549 130.389969 197.518982 52.27586 129.543869
    10/1/2019 63.318806 135.734085 184.930206 52.648392 129.146255
    11/1/2019 63.843567 137.758087 194.064026 51.652111 150.677261
    12/1/2019 66.17836 138.082291 205.559296 53.938194 143.768646
    1/1/2020 58.913719 136.412033 194.233353 56.9104 138.309998
    2/1/2020 48.784962 128.463501 182.728241 52.125637 117.650002
    3/1/2020 36.527187 117.852371 158.986572 43.121319 96.599998
    4/1/2020 44.704193 123.589996 176.008743 45.111679 108.150002
    5/1/2020 43.742195 126.010002 197.032013 45.888279 117.300003
    6/1/2020 43.854839 125.629997 188.261505 43.922199 111.510002
    7/1/2020 41.265911 119.339996 197.101852 46.860676 116.940002
    8/1/2020 39.167309 132.429993 221.228226 49.132286 131.869995
    9/1/2020 34.330002 132.440002 218.25 48.973568 124.080002
    10/1/2020 34.740002 132.080002 224.600006 50.810001 124.980003
    10/9/2020 34.740002 132.080002 224.600006 50.810001 124.980003

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