6. The data below describe a three-stock financial market that satisfies the single-index model. The standarddeviation of the market index portfolio is 25%.StockBetaA1.0B0.2C1.7Capitalization$3,000$1,940$1,360Mean Excess Return10%2%17%a. What is the mean excess return of the index portfolio?b. What is the covariance between stock A and stock B?Standard Deviation40%30%50%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.

Covariance: Covariance represents a tool of statistics employed to determine the association…

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.

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.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. A B C Po 82 42 84 Rate of return 00 100 Divisor 200 200 P1 87 37 94 01 100 200 200 % P2 87 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 370 47 92 100 200 400 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Calculate the rate of return of the price-weighted index for the second period (t=1 to t=2).
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.60% + 0.90RM + eA RB = -2.00% + 1.20RM + eB OM = 26%; R-squarea = 0.21; R-squareg = 0.12 Assume you create portfolio P with investment proportions of 0.70 in A and 0.30 in B.
Vinay
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. ABC Po 86 46 92 le 100 200 200 Rate of return P1 91 41 102 Q1 100 1.89 % 200 200 P2 91 41 51 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t = 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 22 100 200 400
b. Consider the following information about three stocks: Probability of State of i. ii. iii. iv. State of Economy V. Boom Recession Economy 0.40 0.60 From the information given, you are required to answer the following questions. Compute the Standard Deviation for each stock. Compute the Coefficient Variation for each stock. Based on your computation in part (i) and (ii), which stock is riskier? Explain your answer. Rate of Return if State Occurs Stock Hang Stock Hang Jebat 7% 13% Tuah 28% (5%) Stock Hang Kasturi 15% 3% Assume that you have RM14,000 invested in Stock Hang Jebat whose beta is 1.5, RM19,000 invested in Stock Hang Kasturi whose beta is 2.5 and RM17,000 invested in Stock Hang Tuah whose beta is 1.6. Determine what is the beta of this portfolio. Based on your answer in part (iv), compute the required rate of return for this portfolio, given that the market rate of return is 13% and risk-free rate is 5%.
D3)
Consider the three stocks in the following table. Pt represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period (t=2). Po A 100 B 60 C 120 Qo 100 200 200 P₁ 105 55 130 Rate of return b. An equally weighted index. Rate of return Q₁ 100 200 200 % P2 % 105 55 65 Calculate the first-period rates of return on the following indexes of the three stocks (t = O to t = 1): (Do not round intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted index. Q2 100 200 400
Required: a. Calculate the standard deviation of returns of each service provider. b. Which service provider would you recommend for Mr. Lutombi to invest in? c. Assuming Mr. Lutombi invests 40% of his money in MTC and the rest in Telecom, what is Mr. Lutombi portfolio return?
Review the following market information: Current Stock Market Return 11.25% Current T-Bill Price $979.43 Historic T-Bill Average Return 2.80% Historic Stock Market Average Return 8.10% Stock Beta 1.23 What is the required return (rounded to two places)?
1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7
2. The following table shows the constituent stocks of a hypothetical index. Stock B splits two-for-one during the period. Stock A B C Beginning of Period Price ($) Shares 30 75 36 2,000 500 1,200 End of Period Price ($) 26 40 32 Shares 2,000 1,000 1,200 a. Calculate the returns on both the price-weighted index and the market value- weighted index of three stocks over the period. b. If you just buy 5,000 shares of stock C for $36, hold for 1 year, collect $8 dividend and sell it at $32. Calculate your total return.
2. Consider the following expected returns, volatilities, and correlations: Expected Standard Stock Return Deviation Correlation with Vital Correlation with Mital Correlation with Pital Vital 14% 6% 1.0 -1.0 0.0 Mital 44% 24% -1.0 1.0 0.7 Pital 23% 14% 0.0 0.7 1.0 a. Imagine a portfolio comprising solely of Vital and Mital. What portion of should be allocated to Vital stock to ensure a risk-free investment? your investment b. What is the portfolio's volatility when holding a $10,000 long position in Pital and a $2000 short position in Mital? wwwww c. In a market, there are two securities, Artis and Brotis. Currently, the price of Artis stands at £50. Looking ahead, the price of Artis next year will be £40 during a recession, £55 in normal economic times, and £60 in an expanding economy. The probabilities associated with recession, normal times, and expansion are 0.1, 0.8, and 0.1, respectively. Artis does not pay dividends and has a correlation of 0.8 with the market. On the other…

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