6. The data below describe a three-stock financial market that satisfies the single-index model. The standard deviation of the market index portfolio is 25%. Stock Beta A 1.0 B 0.2 C 1.7 Capitalization $3,000 $1,940 $1,360 Mean Excess Return Standard Deviation 10% 2% 17% 40% 30% 50% a. What is the mean excess return of the index portfolio? b. What is the covariance between stock A and stock B? c. What is the covariance between stock B and the index? d. Break down the variance of stock B into its systematic and firm-specific components.
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- Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.2% + 1.10RM + eA RB = -1.4 % + 1.25RM + eB OM= 30%; R-squareд = 0.28; R-squareg = 0.12 What is the covariance between each stock and the market index? Note: Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Do not round your intermediate calculations. Round your answers to nearest whole number. Answer is complete but not entirely correct. Stock A Stock B Covariance 93 x 101 xSuppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 3.6% + 1.2RM + eA RB = -1.6% + 1.5RM + eB OM = 16%; R-squarea = 0.25; R-square; = 0.15 What is the covariance between each stock and the market index? (Calculate using numbers in decimal form, not percentages. Do not round your intermediate calculations. Round your answers to 3 decimal places.) Covariance Stock A Stock B1. Consider the three stocks in the following table. P, represents price at time t, and Q, represents shares outstanding at time t. Calculate the rates of return on the following indexes of the three stocks: A B с Po 90 50 100 a. A market-value-weighted index. b. An equally weighted index. Qo 100 200 200 P₁ 95 45 110 Q₁ 100 200 200
- b) Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 В 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.Suppose that you observe the following information in Table 2 for stocks A and B: Table 2 Expected Return (%) 11% Stock Beta A 0.8 B 14% 1.5 The risk-free rate of return is 6% and the expected rate of return on the market index is 12%. Using the Single-Index Model, calculate the alpha of both stocks. Show your calculations. Explain what the alpha of the single-factor model represents and interpret your results.The data below describes a three-stock financial market that satisfies the single index model. Stock Capitalization Beta Mean Excess Return Standard Deviation A £3,000 1.0 10% 40% B £1,940 0.2 2% 30% C £1,360 1.7 17% 50% The standard deviation of the market index portfolio is 25%. What is the mean excess return of the index portfolio? What is the covariance between stock A and stock B? What is the covariance between stock B and the index? Break down the variance of stock B into its systematic and firm specific components.
- Suppose that the index model for stocks A and B is estimated from excess returns with the following results:RA = 3% + .7RM + eARB = −2% + 1.2RM + eBσM = 20%; R-squareA = .20; R-squareB = .12What is the covariance between each stock and the market index?1. You are given the following information regarding prices for a sample of stocks. PRICE Stock Number of Shares T+1 A 1,000,000 60 80 10,000,000 20 35 30,000,000 18 25 Chapter 4: Security Market Indexes and Index Funds 117 a. Construct a price-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. b. Construct a value-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. e. Briefly discuss the difference in the results for the twu indexes. 2. a. Given the data in Problem 1, construct an equal-weighted index by assuming $1,000 is invested in each stock. What is the percentage change in wealth for this portfolio? b. Compute the percentage of price change for each of the stocks in Problem 1. Compute the arithmetic mean of these percentage changes. Discuss how this answer compares to the answer in part (a). c. Compute the geometric mean of the percentage changes…3. The data below describe a three-stock financial market that satisfies the single-index model: Stock Capitalization Beta Return Standard deviation A 3000 m.u 1.2 10% 40% B 1940 m.u 0.2 2% 30% C 1360 m.u 1.7 17% 50% The standard deviation of the market index portfolio is 25%. a. What is the return of the market portfolio? b. What is the covariance between stock A and the market? c. Break down the variance of stock B into its systematic and firm-specific components
- 1.You are given the following information regarding prices for a sample of stocks. PRICE STOCK NUMBER OF SHARES T T +1 A 1,000,000 60 80 B 10,000,000 20 35 C 30,000,000 18 25 a.Construct a price-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1. b.Construct a value-weighted index for these three stocks, and compute the percentage change in the index for the period from T to T + 1 c.Briefly discuss the difference in the results for the two indexes.3. Answer ALL parts of this question. The data below describes a three-stock financial market that satisfies the single index model. Stock Capitalization Beta Mean Excess Return Standard Deviation A £3,000 1.0 10% 40% B £1,940 0.2 2% 30% C £1,360 1.7 17% 50% The standard deviation of the market index portfolio is 25%. (a) What is the mean excess return of the index portfolio? (b) What is the covariance between stock A and stock B? (c) What is the covariance between stock B and the index? (d) Break down the variance of stock B into its systematic and firm specific components.Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?