ESSENTIALS OF INVESTMENTS
11th Edition
ISBN: 9781307431537
Author: Bodie
Publisher: MCG/CREATE
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Chapter 2, Problem 31PS
Examine the stocks listed in Figure 2.8. For what fraction of these stocks is the 52-week high price at Least 50% greater than the 52-week low price? What do you conclude about the volatility of prices on individual stocks’? (LO 2-1)
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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.
he table below shows information for 3 stocks.
Security
Beta
Risk-free rate
Expected market return
Stock 1
1.9
0.02
0.09
Stock 2
1.2
0.035
0.09
Stock 3
0.2
0.015
0.09
The risk-free rates are different because they were measured in different years. Calculate the expected (or required) return for each stock, using the Capital Asset Pricing Model (CAPM).
What is the required return for stock 1?
What is the required return for stock 2?
What is the required return for stock 3?
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?
Chapter 2 Solutions
ESSENTIALS OF INVESTMENTS
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Ch. 2 - Which of the following correctly describes a...Ch. 2 - Why are money market securities sometimes referred...Ch. 2 - A municipal bond carries a coupon rate of 4.25%...Ch. 2 - Suppose that short-term municipal bonds currently...Ch. 2 - An investor is in a 30% combined federal plus...Ch. 2 - Find the equivalent taxable yield of the municipal...Ch. 2 - Prob. 17PSCh. 2 - Prob. 18PSCh. 2 - Prob. 19PSCh. 2 - Using the data in the previous problem, calculate...Ch. 2 - Prob. 21PSCh. 2 - What would happen to the divisor of the Dow Jones...Ch. 2 - A T-hill with face value $10.000 and 87 days to...Ch. 2 - Prob. 24PSCh. 2 - Prob. 25PSCh. 2 - What options position is associated with: (LO 2-3)...Ch. 2 - Why do call options with exercise prices higher...Ch. 2 - Both a call and a put currently are traded on...Ch. 2 - Prob. 30PSCh. 2 - Examine the stocks listed in Figure 2.8. For what...Ch. 2 - Find the after-tax return lo a corporation that...Ch. 2 - Prob. 33CCh. 2 - Prob. 34CCh. 2 - Prob. 1CPCh. 2 - Go to the website for The Walt Disney Co (DIS) and...Ch. 2 - Prob. 2WM
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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 xarrow_forwardSuppose 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 Barrow_forwardSuppose 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.arrow_forward
- Consider the three stocks in the following table. P, represents the price at time t, and Q, represents the total shares outstanding at time t. Calculate the rate of return on a price-weighted index of three stocks for the first period (t=0 to t=1). Table 2: Data for Q4 & Q5 Q0 P1 Q1 PO 100 50 105 50 A B 200 100 210 100 C 300 100 250 100arrow_forward1. 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 200arrow_forwardSuppose your expectations regarding the stock price are as follows: HPR (including dividends) State of the Market Boom Normal growth Recession Probability Ending Price 0.35 0.30 0.35 Mean Standard deviation Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) – E(r)]² to compute the mean and standard deviation of the HPR S S on stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. do do $ 140 110 80 % 44.5% 14.0 -16.5 %arrow_forward
- 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.)arrow_forward1.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.arrow_forwardQuestion 1 Suppose you have the following expectations about the market condition and the returns on Stocks X and Y. Market Condition Probability Return on Stock X Return on Stock Y Bear Market 0.3 -3% -5% Normal Market 0.5 3% 5% Bull Market 0.2 8% 15% a) What are the expected returns for Stocks X and Y, E(rX) and E(rY)? b) What are the standard deviations of the returns for Stocks X and Y, σX and σY?arrow_forward
- Consider the rate of return of stocks ABC and XYZ. Year rABC rXYZ 1 20 % 28 % 2 8 11 3 16 19 4 4 1 5 2 −9 a. Calculate the arithmetic average return on these stocks over the sample period. b. Which stock has greater dispersion around the mean return? A. ABC B. XYZ c. Calculate the geometric average returns of each stock. What do you conclude? (Do not round intermediate calculations. Round your answers to 2 decimal places.) d. If you were equally likely to earn a return of 20%, 8%, 16%, 4%, or 2%, in each year (these are the five annual returns for stock ABC), what would be your expected rate of return? (Do not round intermediate calculations.) e. What if the five possible outcomes were those of stock XYZ? f. Given your answers to (d) and (e), which measure of average return, arithmetic or geometric, appears more useful for predicting future performance? A. Arithmetic B. Geometricarrow_forwardQ3) Consider the following two companies and their forecasted returns for the upcoming year: (picture) A. What is the standard deviation of the returns on each company's stock (Company A, and B) (write all formulas). B. Of these two stocks, which is riskier? Justify your answerarrow_forwardThe following three stocks are available in the market: E(R) β Stock A 10.9 % 1.18 Stock B 12.8 .98 Stock C 15.3 1.38 Market 14.3 1.00 Assume the market model is valid. The return on the market is 15.1 percent and there are no unsystematic surprises in the returns. What is the return on each stock?arrow_forward
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Chapter 8 Risk and Return; Author: Michael Nugent;https://www.youtube.com/watch?v=7n0ciQ54VAI;License: Standard Youtube License