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- 2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the covariance and the correlation coefficient between HD and ML?Given that the σ_AB= σ_BA, then the variance-covariance matrix for a portfolio with 50 stocks requires the calculations of ____ variances and ____ covariances.
- Suppose that the index model for two Canadian stocks HD and ML is estimated with the following results: RHD =-0.03+2.10RM+eHD R-squared =0.7 RML =0.06+1.60RM+eML R-squared =0.6 σM =0.15 where M is S&P/TSX Comp Index and RX is the excess return of stock X. What is the covariance and the correlation coefficient between HD and ML? For portfolio P with investment proportion of 0.4 in HD and 0.6 in ML, calculate the systematic risk, non-systematic risk, and total risk of P.If two stocks have variance σ2=16 each, could their covariance be equal to σ12 = 20Suppose two subject scores (Python, Java) for five students have the following values: Python Java Student 1 4 6 Student 2 2 5 Student 3 10 8 Student 4 7 5 Student 5 4 3 Find covariance of Python and Java. (Your answer should be the nearest to one-hundredth, e.g., 123.45)
- Suppose that index model for Stocks A and B is estimated from excess returns with the following results : Ra 0.04 +0.6Rm+ea , Rb = - 0.04 + 1.3Rm + eb Risk on the market is 30% , R-squared of A is 30%R - squared of B is 40% , security A residual variance isch 13. 5: Cincinnati Paint Company sells quality brands of paints through hardware stores throughout the United States. The company maintains a large sales force who call on existing customers and look for new business. The national sales manager is investigating the relationship between the number of sales calls made and the miles driven by the sales representative. Also, do the sales representatives who drive the most miles and make the most calls necessarily earn the most in sales commissions? To investigate, the vice president of sales selected a sample of 25 sales representatives and determined: The amount earned in commissions last month (y) The number of miles driven last month (x1) The number of sales calls made last month (x2) The information is reported below. Commissions ($000) Calls Driven Commissions ($000) Calls Driven 29 139 2,371 27 146 3,290 26 132 2,226 25 144 3,103 28 144 2,731 29 147 2,122 26 142 3,351 25 144 2,791 29 142 2,289 25 149 3,209 28…The owner of a pet store is trying to decide whether to discontinue selling specialty clothes for pets. She suspects that only 10% of the customers buy specialty clothes for their pets and thinks that she might be able to replace the clothes with more interesting and profitable items on the shelves. Before making a final decision she decides to keep track of the total number of customers for a day, and whether they purchase specialty clothes for their pet. a) Assuming the pet store owner is correct in thinking that only 10% of her customers purchase specialty clothes for their pets, how many customers should she expect before someone buys a garment for their pet? b) What is the probability that she does not sell a garment until the 5th customer? c) What is the probability that exactly 4 of the first 10 customers buy specialty clothes for their pet? d) What is the probability that at least 3 of the first 35 customers buy specialty clothes for their pet?…
- A covariance of 0.01 between data set A and data set B indicates: A strong tendency for B to increase when A increases A weak relationship between A and B A strong tendency for B to decrease when A increases Not enough information to sayAssume that as a portfolio manager the beta of your portfolio is 1.15 and that your performance is exactly on target with the SML data under condition 1. If the true SML data is given by condition 2, how much does your performance differ from the true SML? (1) RFR = 0.0625 Rm(proxy) = 0.12 (2) RK = 0.078 Rm(true) = 0.10Suppose that weights of college mathematics textbooks in the United States are normally distributed with mean µ = 2.25 lbs and variance σ2 = 0.2025 lbs. Find the weight that corresponds to Q3 and interpret this measure of position in the context of the problem.