Question: Calculate the mean, standard deviation, variance, and correlation coefficient for and separately (for two sub-period in a table-see next page) and comment on the result.

  1. Calculate the mean, standard deviation, variance, and correlation coefficient for and separately (for two sub-period in a table-see next page) and comment on the result.
  2. Explain the value of beta that you have calculated.
  3. Why the estimated value of beta is different for two sub-periods?
Period 1: December 2020 to April 2022
Date AORD COMPANY rm rj RF rm-RF rj-RF
Dec-20 6870.9 4.5 0.2963 -7.2165 0.0810 0.2154 -7.2975
Jan-21 6940.6 5 1.0144 11.1111 0.0873 0.9271 11.0238
Feb-21 7017 5.09 1.1008 1.8000 0.1105 0.9903 1.6895
Mar-21 7290.7 4.95 3.9005 -2.7505 0.1411 3.7594 -2.8916
Apr-21 7406.7 4.71 1.5911 -4.8485 0.1386 1.4525 -4.9871
May-21 7585 4.66 2.4073 -1.0616 0.1373 2.2700 -1.1989
Jun-21 7664.2 4.59 1.0442 -1.5021 0.1267 0.9175 -1.6288
Jul-21 7823.3 5.09 2.0759 10.8932 0.1039 1.9720 10.7893
Aug-21 7629.7 5.67 -2.4747 11.3949 0.0941 -2.5688 11.3008
Sep-21 7639.1 5.35 0.1232 -5.6437 0.1062 0.0170 -5.7499
Oct-21 7587.4 5.06 -0.6768 -5.4206 0.1414 -0.8182 -5.5620
Nov-21 7779.2 5.01 2.5279 -0.9881 0.1493 2.3786 -1.1374
Dec-21 7268.3 4.78 -6.5675 -4.5908 0.1331 -6.7006 -4.7239
Jan-22 7323.2 5.07 0.7553 6.0669 0.1560 0.5993 5.9110
Feb-22 7789.6 5.21 6.3688 2.7613 0.1742 6.1946 2.5871
Mar-22 7724.8 5.6 -0.8319 7.4856 0.2060 -1.0379 7.2796
Apr-22 7455.2 5.51 -3.4901 -1.6071 0.2473 -3.7373 -1.8544
average 0.4018 0.7970
stdev 2.9248 6.2946
variance 8.5543 39.6215
correlation 0.0921
beta 0.1983
Period 2: September 2022 to January 2024
Date AORD COMPANY rm rj RF rm-RF rj-RF
Sep-22 7054.8 5.84 5.6313 16.3347 0.3070 5.3243 16.0276
Oct-22 7480.7 6.24 6.0370 6.8493 0.3207 5.7163 6.5286
Nov-22 7221.7 6.01 -3.4622 -3.6859 0.3029 -3.7651 -3.9888
Dec-22 7686.1 6.34 6.4306 5.4908 0.2912 6.1394 5.1996
Jan-23 7458 6.42 -2.9677 1.2618 0.2955 -3.2632 0.9663
Feb-23 7373.3 6.62 -1.1357 3.1153 0.3034 -1.4391 2.8119
Mar-23 7501 6.6 1.7319 -0.3021 0.2845 1.4474 -0.5866
Apr-23 7273.5 6.65 -3.0329 0.7576 0.2744 -3.3073 0.4832
May-23 7401.5 6.2 1.7598 -6.7669 0.2871 1.4727 -7.0540
Jun-23 7622.2 6.53 2.9818 5.3226 0.3206 2.6612 5.0020
Jul-23 7517.8 5.91 -1.3697 -9.4946 0.3303 -1.7000 -9.8249
Aug-23 7249.7 5.18 -3.5662 -12.3519 0.3377 -3.9039 -12.6896
Sep-23 6967.5 4.91 -3.8926 -5.2124 0.3443 -4.2369 -5.5567
Oct-23 7297.7 5.3 4.7391 7.9430 0.3776 4.3616 7.5654
Nov-23 7829.5 5.37 7.2872 1.3208 0.3737 6.9135 0.9470
Dec-23 7912.8 5.56 1.0639 3.5382 0.3425 0.7215 3.1957
Jan-24 7959.5 5.13 0.5902 -7.7338 0.3418 0.2484 -8.0756
average 0.7877 0.0560
stdev 3.8797 7.2826
variance 15.0520 53.0369
correlation 0.6454
beta 1.2114

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