Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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H2.
A benchmark index has three stocks priced at $60, $65, and $70. The number of outstanding shares for each is 444,000 shares, 555,000 shares, and 777,000 shares, respectively. Suppose the price of these three stocks changed to $40, $70, and $90, respectively and number of outstanding shares did not change, what is the equal-weighted index return?
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- The index model has been estimated using historical excess return data for stocks A, B, and C, with the following results: RA = 0.02 + 0.9RM + eA RB = 0.04 + 1.2RM + eB RC = 0.10 + 1.ORM + eC OM oM = 0.22 o(eA) = 0.21 o(eB ) = 0.11 o(eC ) = 0.23 a. What are the standard deviations of stocks A, B, and C? b. Break down the variances of stocks A, B, and C into their systematic and firm-specific components. c. What is the covariance between the returns on each pair of stocks? d. What is the covariance between each stock and the market index?arrow_forwardConsider a market value-weighted index consisting of 3 stocks: A, B, and C. The stocks' prices at time 0 (p0) and time 1 (p1) are given below, along with the number of shares outstanding. Calculate the index levels at time 0. Round your answer to 4 decimal places. For example, if your answer is 3.205%, then please write down 0.0321. stock p0 p1 outstanding shares 43 45 200 69 50 500 11 12 600 A B Carrow_forwardThere are three stocks in a price-weighted index: A $100 B $20 C $60 a. What is the average value for the index? b. Assume stock A goes down by 25 percent and stock B goes up by 25 percent, and stock C remains the same. What is the new average value for the index? c. Explain why in part b the average changed with two stocks moving up and down by the same percentage amount.arrow_forward
- A benchmark index has three stocks priced at $26, $49, and $59. The number of outstanding shares for each is 365,000 shares, 435,000 shares, and 583,000 shares, respectively. If the market value weighted index was 1000 yesterday and the prices changed to $26, $47, and $61 today, what is the new index value? Multiple Choice 995 1000 1005 991arrow_forward(5)arrow_forwardWhat is the required rate of return on a preferred stock with a $50 par value, a stated annual dividend of 9% of par, and a current market price of (a) $31, (b) $40, (c) $52, and (d) $74 (assume the market is in equilibrium with the required return equal to the expected return)? Do not round intermediate calculations. Round the answers to two decimal places.arrow_forward
- pm.3arrow_forwardSuppose a stock index contains the stock of 3 firms: A Band C. The stock prices for the three firms are $56, $63 and $23, respectively. The firms have 132 milion, 102 million and 110 million shares outstanding, respectively. If the index is value weighted, calculate its initial value. (round your answer to 2 decimal places)arrow_forward6arrow_forward
- Problem 2-12 (Algo) 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. Stock Po A B P1 01 P2 02 00 140 145 145 145 145 145 135 290 130 290 130 290 270 290 280 290 145 580 C Required: Calculate the first-period rates of return on the following indexes of the three stocks (t = 0 to t = 1): Note: Do not round intermediate calculations. Round your answers to 2 decimal places. a. A market-value-weighted index. b. An equally weighted index. a. Rate of return b. Rate of return % %arrow_forwardConsider 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 400arrow_forwardConsider 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 Ро 90 50 100 Rate of return 90 100 200 200 P1 95 45 110 Rate of return b. An equally weighted index Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round intermediate calculations. Round answers to 2 decimal places.) a. A market value-weighted index % 01 100 200 200 % P2 95 45 55 92 100 200 400arrow_forward
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