1. You are given the following information regarding prices for a sample of stocks.PRICEStockNumber of SharesT+1A1,000,000608010,000,000203530,000,0001825Chapter 4: Security Market Indexes and Index Funds 117a. Construct a price-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1.b. Construct a value-weighted index for these three stocks, and compute the percentagechange 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 isinvested 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. Computethe arithmetic mean of these percentage changes. Discuss how this answer compares tothe answer in part (a).c. Compute the geometric mean of the percentage changes in part (b). Discuss how thisresult compares to the answer in part (b).

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EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter2: The Domestic And International Financial Marketplace

Section: Chapter Questions

Problem 1P

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The standard deviation of stock returns for Stock A is 40%. The standard deviation of the market return is 20%. If the correlation between Stock A and the market is 0.70, then what is Stock A’s beta?
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.
You are given the following information regarding prices for stocks of the followingfirms: PRICE Stock Number of Shares T T+ 1 ScotBank Ltd. 1,000,000 60 80 Jetvan Ltd 10,000,000 20 35 PriceLife Ltd. 30,000,000 18 25 i. Construct a price-weighted index for these three stocks and compute the percentagechange in the series for the period from T to T +1. ii. Construct a market-value-weighted index for these three stocks and compute thepercentage change in the series for the period from T to T +1. iii. Based on your answer above, which of these indexes BEST illustrate the movementon the stock market.
Using the data in the chart, calculate the first-period rates of return on the following indexes of the three stocks: A market-value-weighted index. An equally weighted index. stocks P0 Q0 P1 Q1 P2 Q2 A 90 100 95 100 95 100 B 50 200 45 200 45 200 C 100 200 110 200 55 400 (Pt represents price at time t, and Qt represents shares outstanding at time t.)
The index model has been estimated for stocks A and B with the following results: RA = 0.12 + 0.610RM + eA RB = 0.04 + 1.416RM + eB σM = 0.270 σ(eA) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index?
Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 100 50 100 stk2 50 200 50 200 stk3 60 150 50 300 Which answer is the closest value to the rate of return on an equal-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%
Suppose that you would like to create composite indexes from three stocks: stk1, stk2, stk3. Their stock prices (Pt) and total shares outstanding (Qt) from day 0 to day 1 are shown as follows: stk3 splits two-for-one in day 1. P0 Q0 P1 Q1 stk1 40 100 50 100 stk2 50 200 50 200 stk3 60 150 50 300 Which answer is the closest value to the rate of return on a value-weighted index of the three stocks? A. 20% B. 25% C. 30% D. 35%
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.
You are given the following information regarding prices for a sample of stocks.a. Construct a price-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. b. Construct a value-weighted index for these three stocks, and compute the percentagechange in the index for the period from T to T + 1. c. Briefly discuss the difference in the results for the two indexes.
You are given the following information regarding prices for a sample of stocks. PRICE PER SHARE Stock Number of Shares Jan December Honda 20 000 170 200 Nissan 40 000 130 155 Toyota 90 000 138 145 i.) Construct a price-weighted index for these three stocks for January and December ii.) Construct a value weighted index for the securities above for January and December iii) Construct an equal-weighted index by assuming $1,000 is invested in each stock. What is the percentage change in wealth for this portfolio?
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 standard deviation of each stock? (Hint: βi = (ρiM σi) / σM.)
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 5.0% + 1.30RM + eA RB= -2.0% + 1.6RM + eB sigmaM= 20% ; R-squareA= 0.20 ; R-squareB= 0.12 What is the standard deviation of each stock (write as percentage, rounded to 2 decimal places)?

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