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Case 1: (10%) 5 questions You are an investment manager at Black Rock multinational investment corporation. Senior management is making a decision to invest money

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Case 1: (10%) 5 questions You are an investment manager at Black Rock multinational investment corporation. Senior management is making a decision to invest money in the portfolio of 3M company (MMM) and Zoom (ZM) or in the other portfolio of 3M company (MMM) and Chevron (CVX). Amounts of planned investments: 3M - $1 bn, ZOOM - $500 mln, CVX - $700 min. According to the available public information, you need to estimate following: Date MMM ZM CVX 01.01.2020 158.66 76.3 107.14 01.02.2020 149.24 105 93.34 01.03.2020 136.51 146.12 72.46 01.04.2020 151.92 135.17 92 01.05.2020 156.44 179.48 91.7 01.06.2020 155.99 253.54 89.23 01.07.2020 150.47 253.91 83.94 01.08.2020 163.02 325.1 83.93 01.09.2020 160.18 470.11 72 01.10.2020 159.96 460.91 69.5 ecured lockdown Date MMM ZM CVX 01.01.2020 158.66 763 107.14 01.02.2020 149.24 105 93.34 01.03.2020 136.51 146.12 72.46 01.04.2020 151.92 135.17 92 01.05.2020 156.44 179.48 91.7 01.06.2020 155.99 253.54 89.23 01.07.2020 150.47 253.91 83.94 01.08.2020 163.02 325.1 83.93 01.09.2020 160.18 470.11 72 01.10.2020 159.96 460.91 69.5 01.11.2020 172.73 478.36 87.18 01.12.2020 174.79 337.32 84.45 D Question 16 What is the average return of ZM stocks? 23.2% 11.1% O 17.1% O 14.2% Question 17 What is the Covariance of (MMM and ZM)? 0.012 -0.006 -0.020 0.001 Question 18 What is the correlation between (MMM and CVX)? 0.89 0 -0.14 O 0.13 0 -0.50 D Question 19 What is the standard deviation of CVX's return? 1% 0 23% 15% 45% Question 20 What is the variance of the portfolio (MMM and ZM)? -0.3% O 5.0% O 2.3% O 0.6%

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