Question
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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