3. The data below describe a three-stock financial market that satisfies the single-index model: Stock Beta Return Standard deviation Capitalization 3000 m.u A 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

3. The data below describe a three-stock financial market that satisfies the single-index model: Stock Beta Return Standard deviation Capitalization 3000 m.u A 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

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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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. 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. xx
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
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)?
Consider the three stocks in the following table. Pt represents price at time t, Qt represents shares outstanding at time t. Stock C splits two for one in the second period from t=1 to t=2. Calculate the rate of return on a price-weighted index consisting of the three stocks for the first period from t=0 to t=1. Answer in percentage. Stock P0 Q0 P1 Q1 P2 Q2 A 70 475 75 475 75 475 B 45 850 40 850 40 850 C 50 300 60 300 30 600 a. 0.00% b. 2.49% c. 6.06% d. 8.95% e. 1.30%
Consider the following stock return scenarios for three stocks: Stock Stock A B Economy Up Average Down 8% 5% 0% 2% 3% 4% Stock с 12% 0% -5% If each state of the economy is equally likely, calculate the expected return and population standard deviation for a portfolio invested entirely in Stock A. Which stock should be added to the portfolio to reduce risk?
Consider the three stocks in the following table. P(t) represents price at time t, and Q(t) represents shares outstanding at time t. Stock C splits two-for-one in the last period. What is the rate of return for the price-weighted index that is formed using Stocks A, B, and C from time period 1 to time period 2? B C zero P(1) 95 45 100 -20.83% 20.83% None of the above Q(1) 100 200 200 P(2) 95 45 50 Q(2) 100 200 400
Assume the risk-free rate is r = 3%. Consider the data in the table below: Stock Expected Return Volatility Stock 1 15% 40% Stock 2 7% 30% acompute (c) Determine the tangent portfolios & their respective mean returns and volatilities
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 systematic risk of each stock?
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.)
2. A portfolio consists of two stocks: Stock Expected Return Standard Deviation Weight Stock 1 10% 15% 0.30 Stock 2 13% 20% ??? The correlation between the two stocks' return is 0.50 (a)Calculate the expected return and standard deviation of the portfolio. Expected Return: Standard Deviation:
In the APT model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of σ(ei) equal to 20% and 40 securities? A. 0.5% B. 3.16% C. 3.54% D. 12.5% E. 625%
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.)

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