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Date Open High Low Close* Adj Close** Volume Nov 03, 2023 15.90 16.04 15.83 15.88 15.88 42,470,585 Oct 31, 2023 15.49 16.04 15.43 15.88 15.88

Date Open High Low Close* Adj Close** Volume
Nov 03, 2023 15.90 16.04 15.83 15.88 15.88 42,470,585
Oct 31, 2023 15.49 16.04 15.43 15.88 15.88 120,092,800
Oct 06, 2023 0.278 Dividend
Sep 30, 2023 15.04 15.91 14.12 15.40 15.11 950,723,100
Aug 31, 2023 14.81 15.73 14.32 15.02 14.74 699,432,300
Jul 31, 2023 14.56 14.99 13.89 14.79 14.51 813,956,600
Jul 07, 2023 0.278 Dividend
Jun 30, 2023 15.95 16.23 13.43 14.52 14.00 1,285,717,500
May 31, 2023 15.75 16.13 14.85 15.95 15.38 804,420,200
Apr 30, 2023 17.74 17.76 15.00 15.73 15.16 860,925,100
Apr 06, 2023 0.278 Dividend
Mar 31, 2023 19.27 19.99 17.19 17.67 16.80 777,350,500
Mar 01, 2023 18.83 19.25 18.03 19.25 18.30 660,086,700
Feb 01, 2023 20.47 20.50 18.83 18.91 17.98 563,079,500
Jan 09, 2023 0.278 Dividend
Jan 01, 2023 18.51 21.53 18.41 20.37 19.09 777,779,600
Dec 01, 2022 19.29 19.52 17.64 18.41 17.25 824,021,900
Oct 31, 2022 18.57 19.39 18.07 19.28 18.07 803,114,100
Oct 06, 2022 0.278 Dividend
Sep 30, 2022 15.73 18.59 14.46 18.23 16.78 1,188,340,400
Aug 31, 2022 17.49 17.67 15.34 15.34 14.12 958,698,100
Jul 31, 2022 18.85 18.87 17.51 17.54 16.15 769,649,200
Jul 08, 2022 0.278 Dividend
Jun 30, 2022 20.97 21.39 18.18 18.78 17.06 743,894,600
May 31, 2022 21.44 21.47 18.67 20.96 19.04 838,975,300
Apr 30, 2022 19.00 21.53 18.86 21.29 19.34 1,005,195,300
Apr 13, 2022 0.278 Dividend
Apr 11, 2022 1324:1000 Stock Split
Mar 31, 2022 17.92 20.35 17.67 18.86 16.89 1,346,823,217
Mar 01, 2022 17.83 18.24 17.23 17.85 15.99 1,210,104,223
Feb 01, 2022 18.27 18.81 17.11 17.89 16.03 1,300,035,599
Jan 07, 2022 0.52 Dividend
Jan 01, 2022 18.72 20.76 17.79 19.26 16.80 1,828,521,981
Dec 01, 2021 17.37 18.97 16.63 18.58 16.20 1,834,795,096
Oct 31, 2021 19.23 19.32 17.03 17.24 15.04 1,278,172,519
Oct 07, 2021 0.52 Dividend
Sep 30, 2021 20.50 20.76 18.89 19.08 16.22 1,339,836,364
Aug 31, 2021 20.73 21.10 20.35 20.40 17.34 984,413,994
Jul 31, 2021 21.33 21.56 20.30 20.71 17.61 789,806,781
Jul 08, 2021 0.52 Dividend
Jun 30, 2021 21.82 22.17 20.77 21.19 17.58 935,588,977
May 31, 2021 22.25 22.39 21.46 21.74 18.04 1,032,169,347
Apr 30, 2021 24.00 25.59 21.65 22.23 18.45 1,665,976,094
Apr 08, 2021 0.52 Dividend
Mar 31, 2021 22.84 24.09 22.13 23.72 19.25 1,058,549,388
Mar 01, 2021 21.27 23.32 21.16 22.86 18.55 1,398,177,232
Feb 01, 2021 21.86 22.52 21.06 21.06 17.09 998,358,098
Jan 08, 2021 0.52 Dividend
Jan 01, 2021 22.20 22.81 21.50 21.62 17.14 1,224,161,530
Dec 01, 2020 21.77 24.09 21.39 21.72 17.22 1,284,157,530
Oct 31, 2020 20.69 22.24 20.29 21.71 17.21 971,405,428
Oct 08, 2020 0.52 Dividend
Sep 30, 2020 21.54 22.02 19.90 20.41 15.79 1,248,679,758
Aug 31, 2020 22.46 22.79 20.96 21.53 16.66 1,017,387,416
Jul 31, 2020 22.62 23.24 22.21 22.52 17.42 762,810,420
Jul 09, 2020 0.52 Dividend
Jun 30, 2020 22.76 23.11 22.05 22.34 16.90 1,003,774,316
May 31, 2020 23.23 25.11 21.84 22.83 17.27 1,170,276,053
Apr 30, 2020 23.24 24.22 20.85 23.31 17.63 959,846,510
Apr 08, 2020 0.52 Dividend
Mar 31, 2020 21.44 24.07 20.58 23.01 17.01 1,117,249,324
Mar 01, 2020 26.71 28.87 19.70 22.02 16.27 1,883,263,293
Feb 01, 2020 28.67 29.32 24.93 26.60 19.66 922,054,388
Jan 09, 2020 0.52 Dividend
Jan 01, 2020 29.58 29.87 27.43 28.41 20.63 982,957,591
Dec 01, 2019 28.31 29.78 27.88 29.52 21.43 679,722,535
Oct 31, 2019 29.42 29.98 27.49 28.23 20.50 802,378,688
Oct 09, 2019 0.51 Dividend
Sep 30, 2019 28.66 29.36 27.60 29.07 20.73 853,834,224
Aug 31, 2019 26.50 29.27 26.37 28.58 20.38 1,012,501,065
Jul 31, 2019 26.04 26.81 25.07 26.63 18.99 834,448,749
Jul 09, 2019 0.51 Dividend
Jun 30, 2019 25.54 26.16 23.81 25.72 17.97 891,283,965
May 31, 2019 23.20 25.34 23.17 25.31 17.69 679,868,042
Apr 30, 2019 23.45 24.98 22.76 23.10 16.14 816,153,717
Apr 09, 2019 0.51 Dividend
Mar 31, 2019 23.87 24.56 22.70 23.38 16.00 875,160,822
Mar 01, 2019 23.56 23.90 22.41 23.69 16.21 809,223,372
Feb 01, 2019 22.82 23.74 21.84 23.50 16.08 734,370,370
Jan 09, 2019 0.51 Dividend
Jan 01, 2019 21.53 23.70 21.37 22.70 15.20 1,035,320,203
Dec 01, 2018 23.97 24.18 20.24 21.56 14.43 1,268,699,299

PLEASE USE THE 60 MONTH DATA IN THIS CHART ABOVE. PLEASE SHOW STEPS WITH FORMLAS - THANKS!

A) Compute the historical average (that represents the expected return) and standard deviation of the 60 monthly observations of return on the stock under analysis.

B) Compute its Sharpe ratio. For example, for Microsoft, its Sharpe ratio is the difference between the historical average of MSFT returns and the historical average of SHY returns, divided by MSFT standard deviation.

  • For example, if the average monthly return of MSFT is 1%, the average monthly return of SHY is 0.25%, and the standard deviation of MSFT monthly return is 7.50%, then the monthly MSFT Sharpe ratio is (1%0.25%)/7.50% = 0.10.

C) Conventionally risk and return measures, as well as Sharpe ratios, are annualized. To annualize the risk and return measures, scale expected returns by multiplying by 12, and standard deviations and Sharpe ratios by multiplying by 12 (approximately 3.464).

  • Following the above-mentioned example, the annualized expected return of MSFT is 12 1% = 12%, the annualized standard deviation of MSFT is 12 7.50% = 25.98%, and the annualized Sharpe ratio of MSFT is 12 0.10 = 0.3464.

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