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THE TASKS Task 1: Download and prepare the data for analysis (15 marks) * First, choose the leader of your team. * Second, using the

THE TASKS

Task 1: Download and prepare the data for analysis (15 marks)

* First, choose the leader of your team.

* Second, using the table below, identify the Data Group by the team leader's student ID number. (For example, if the team leader's student ID number is 20430066 at BU/CB/OL, then the team's Data Group is D.)

Campus Data Group

Data Period From.

Student ID number of the team leader

To

BU/CB/OL

A

31/08/2017

BU/CB/OL

30/06/2017

BU/CB/OL

30/04/2017

BU/CB/OL

31/01/2017

BU/CB/OL

BU/CB/OL

30/11/2016 30/09/2016

31/08/2022 30/06/2022 30/04/2022 31/01/2022 30/11/2021 30/09/2021

The last digit of student ID is ended by 0 or 1 The last digit of student ID is ended by 2 or 3 The last digit of student ID is ended by 4 or 5 The last digit of student ID is ended by 6 or 7 The last digit of student ID is ended by 8 The last digit of student ID is ended by 9

*Third, download the monthly data on the 4 variables listed above, for the time period corresponding to your team's Data Group.

(An example instruction on how to download data, using the hyperlinks listed above, is provided separately on the assessment page. See under Assessment 2 at LMS.)

* Fourth, get ready for analysis by arranging the 4 separately downloaded data sets into one Excel spread sheet. (As mentioned in the data-download instruction, you use only the Close price.)

* Finally, generate the following 3 additional variables within the same data sheet.

RM = RNSDQ = Return to NSDQ

RBHP = Return to BHP

RTEAM = Return to TEAM

Hints: We computed stock returns in Workshop 2 using two prices, i.e. Rt = 100*In(Pt/ Pt-1). If there are n observations on the price, then there should be n - 1 observations on the return. Note that returns are expressed in percentage, but do not include the percentage sign (%) in your data series. For example, if the return is 0.72%, you should see only 0.72, not 0.72%, in the data cell.

Below is the complete dataset:

Time P_BHP (US$) P_TEAM (US$) P_NSDQ (US$) R_BHP (%) R_TEAM (%) R_M (%) R_F (%)
01/09/2017 36.16 35.15 6495.96 2.326
01/10/2017 36.56 48.37 6727.67 1.01 1.38 1.04 2.376
01/11/2017 37.07 46.69 6873.97 1.01 0.97 1.02 2.417
01/12/2017 41.03 45.52 6903.39 1.11 0.97 1.00 2.405
01/01/2018 43.73 53.99 7411.48 1.07 1.19 1.07 2.72
01/02/2018 41.48 54.29 7273.01 0.95 1.01 0.98 2.868
01/03/2018 39.63 53.92 7063.45 0.96 0.99 0.97 2.741
01/04/2018 41.70 55.98 7066.27 1.05 1.04 1.00 2.936
01/05/2018 44.41 63.79 7442.12 1.06 1.14 1.05 2.822
01/06/2018 44.61 62.52 7510.30 1.00 0.98 1.01 2.849
01/07/2018 46.62 72.41 7671.79 1.04 1.16 1.02 2.964
01/08/2018 42.85 90.01 8109.54 0.92 1.24 1.06 2.853
01/09/2018 44.46 96.14 8046.35 1.04 1.07 0.99 3.056
01/10/2018 41.20 75.91 7305.90 0.93 0.79 0.91 3.159
01/11/2018 39.57 85.94 7330.54 0.96 1.13 1.00 3.013
01/12/2018 43.08 88.98 6635.28 1.09 1.04 0.91 2.686
01/01/2019 45.66 98.40 7281.74 1.06 1.11 1.10 2.635
01/02/2019 47.19 107.48 7532.53 1.03 1.09 1.03 2.711
01/03/2019 48.77 112.39 7729.32 1.03 1.05 1.03 2.414
01/04/2019 47.23 110.15 8095.39 0.97 0.98 1.05 2.509
01/05/2019 46.31 125.88 7453.15 0.98 1.14 0.92 2.142
01/06/2019 51.84 130.84 8006.24 1.12 1.04 1.07 2
01/07/2019 49.00 140.12 8175.42 0.95 1.07 1.02 2.021
01/08/2019 43.85 134.51 7962.88 0.89 0.96 0.97 1.506
01/09/2019 44.05 125.44 7999.34 1.00 0.93 1.00 1.675
01/10/2019 43.63 120.79 8292.36 0.99 0.96 1.04 1.691
01/11/2019 45.97 127.11 8665.47 1.05 1.05 1.04 1.776
01/12/2019 48.80 120.34 8972.60 1.06 0.95 1.04 1.919
01/01/2020 45.59 147.00 9150.94 0.93 1.22 1.02 1.52
01/02/2020 38.64 144.96 8567.37 0.85 0.99 0.94 1.127
01/03/2020 32.73 137.26 7700.10 0.85 0.95 0.90 0.698
01/04/2020 36.29 155.49 8889.55 1.11 1.13 1.15 0.622
01/05/2020 42.02 185.30 9489.87 1.16 1.19 1.07 0.648
01/06/2020 44.36 180.27 10058.77 1.06 0.97 1.06 0.653
01/07/2020 47.14 176.65 10745.27 1.06 0.98 1.07 0.536
01/08/2020 49.12 191.76 11775.46 1.04 1.09 1.10 0.693
01/09/2020 46.13 181.79 11167.51 0.94 0.95 0.95 0.677
01/10/2020 42.92 191.62 10911.59 0.93 1.05 0.98 0.86
01/11/2020 49.77 225.05 12198.74 1.16 1.17 1.12 0.844
01/12/2020 58.29 233.87 12888.28 1.17 1.04 1.06 0.917
01/01/2021 59.57 231.13 13070.69 1.02 0.99 1.01 1.093
01/02/2021 67.72 237.70 13192.35 1.14 1.03 1.01 1.46
01/03/2021 61.90 210.76 13246.87 0.91 0.89 1.00 1.746
01/04/2021 64.91 237.56 13962.68 1.05 1.13 1.05 1.631
01/05/2021 66.11 233.28 13748.74 1.02 0.98 0.98 1.581
01/06/2021 64.97 256.86 14503.95 0.98 1.10 1.05 1.443
01/07/2021 70.08 325.12 14672.68 1.08 1.27 1.01 1.239
01/08/2021 59.00 367.06 15259.24 0.84 1.13 1.04 1.304
01/09/2021 47.74 391.42 14448.58 0.81 1.07 0.95 1.529
01/10/2021 48.92 458.13 15498.39 1.02 1.17 1.07 1.557
01/11/2021 50.12 376.32 15537.69 1.02 0.82 1.00 1.443
01/12/2021 53.84 381.29 15644.97 1.07 1.01 1.01 1.512
01/01/2022 56.74 324.34 14239.88 1.05 0.85 0.91 1.782
01/02/2022 60.47 305.72 13751.40 1.07 0.94 0.97 1.839
01/03/2022 68.91 293.83 14220.52 1.14 0.96 1.03 2.327
01/04/2022 59.75 224.83 12334.64 0.87 0.77 0.87 2.887
01/05/2022 63.03 177.32 12081.39 1.05 0.79 0.98 2.844
01/06/2022 56.18 187.40 11028.74 0.89 1.06 0.91 2.972
01/07/2022 55.04 209.32 12390.69 0.98 1.12 1.12 2.642
01/08/2022 54.89 247.66 11816.20 1.00 1.18 0.95 3.133

Task 2: Hypothesis testing of means and variance equality (35 marks) (i) Perform and report the Jarque-Berra test of normally distributed returns for each of the two stocks, RBHP and RTEAM. Given your test results, what do you infer about the distribution of returns to each company's stock? (ii) Test the hypothesis that the average return on BHP is different from 3 percent at the 5% level of significance. Make sure you present the test step by step leading to the conclusion, explaining which test statistic you use to perform this hypothesis test and why. [Hint: Hypothesis test about a population mean] (iii) Before investing in one of the two stocks, we would like to compare the risks associated with the two stocks. For this comparison, perform and present an appropriate hypothesis test at the 5% level of significance, and interpret your result. [Hint: Hypothesis test about homoskedasticity] (iv) We would also like to check whether both stocks have the same return on average. Using the confidence interval approach, perform and present an appropriate hypothesis test at the 5% level of significance, and interpret your result. Which stock would you prefer and why? [Hint: Hypothesis test about two population means.

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