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 Csplits two for one in the last period.Stock PoABP1 01P2 0200140 145 145 145 145 145135 290 130 290 130 290270 290 280 290 145 580CRequired: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 returnb. Rate of return%%

a. Market-Value-Weighted Index:An index of the stock market where the components are weighted…

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 00 P1 01 P2 02 A 140 145 145 145 145 145 135 290 130 290 130 290 270 290 280 290 145 580 B 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 % %

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 00 P1 01 P2 02 A 140 145 145 145 145 145 135 290 130 290 130 290 270 290 280 290 145 580 B 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 % %

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 following information: State Probability Stock A Stock B Stock C Boom 0.32 0.09 -0.01 0.01 Bust 0.68 -0.05 0.28 0.03 What is the expected return of a portfolio that has invested $9,981 in Stock A, $6,817 in Stock B, and $2,123 in Stock C? (Hint: calculate weights of each stock first). Enter the answer with 4 decimals (e.g. 0.1234).
Consider the following information on Stocks I and II: The market risk premium is 8 percent and the risk-free rate is 40.5 percent. a-1. What is the beta of each stock? Note: Do not round Intermedlate calculations. Round your answers to 2 decimal places. a-2. Which stock has the most systematic risk? Stock I Stock II b-1. What is the standard deviation of each stock? Note: Do not round Intermedlate calculations. Enter your answers as a percent rounded to 2 decimal places. b.2. Which one has the most unsystemstic risk? Stock I Stock II c. Which stock is "riskier"? Stock I Stock II
There are three stocks in the index alpha, beta, and gamma. The stocks sell for $102 $345 and $87 respectively. If beta undergoes a 3 for 1 stock split, what is the new divisor for the price weighted index? (a) 2.34 (b) 7.81 (c) 1.71 (d) 2.07
The index model has been estimated for stocks A and B with the following results: = 0.12 +0.670RM+еA RA= RB=0.04 +1.512RM + еB °M= 0.330 σ(eд) = 0.20 σ(eB) = 0.10 What is the covariance between each stock and the market index? (Round your answers to 4 decimal places.) Stock A covariance Stock B covariance
Consider the following information: State Probability Stock A Stock B Stock C Boom 0.32 0.17 -0.11 -0.06 Bust 0.68 -0.03 -0.01 0.23 What is the expected return of a portfolio that has invested $16,157 in Stock A, $19,654 in Stock B, and $9,659 in Stock C? (Hint: calculate weights of each stock first). Enter the answer with 4 decimals (e.g. 0.1234).
Suppose you are given the following information about 2 stocks, what is the Sharpe Ratio of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 rf=3% Enter rate in decimal form, rounded to 4th digit, as in "0.1234"
1. If a stock has a(Alpha)=0.002, b(Beta)=1.4, Using the market model (eq. 7.4), find the expected percent return for the above stock if the market return is expected to be 2% and the risk free rate is 1%. 2. Assume stock prices follow a random walk and a particular stock has had the following recent stock prices: Day 1: 129.5 Day 2: 126.9 Day 3: 127.1 what is the best estimate of day 4 prices?
Suppose you are given the following information about 2 stocks, what is the return standard deviation of a portfolio weighted 55% in stock A and 45% in stock B? E(RA)=16% E(RB)=8% σA=22% σB=12% σA,B=−0.003696 Enter rate in decimal form, rounded to 4th digit, as in "0.1234"
Consider the three stocks in the following table. P+ represents price at time t, and Qt represents shares outstanding at time t. Stock C splits two-for-one in the last period. PO 98 58 100 51 103 e 200 116 200 53 126 100 200 200 103 100 53 63 200 400 Required: Calculate the first-period rates of return on the following indexes of the three stocks: (Do not round Intermediate calculations. Round your answers to 2 decimal places.) a. A market value-weighted Index Rate of return An equally weighted index ate of return % %
Suppose a market consists of four stocks. The number of shares outstanding for each stock as well as the stock prices in two consecutive days are as follows: Stock A Stock B Stock C Stock D Shares outstanding 200 1000 400 3000 I $5 $30 $100 $40 Ро $15 $25 $80 $50 a) Compute the percentage increase in the price-weighted index for this market. b) Compute the percentage increase in the value-weighted index for this market. P₁
Consider a market value-weighted index with only 3 stocks: Stock A, Stock B, and Stock C. The current shares and current prices, as well as the original number of shares and original prices, of the stocks are summarized in the following table: Current Shares Current Price Original Shares Original Price Stock A Stock B Stock C 300 100 200 Assuming the base value is 100, the index level is $48 $69 $91 100 100 100 $28 $79 $51 Round your answer to 4 decimal places.
Stocks A and B have the following returns: (Click on the following icon in order to copy its contents into a spreadsheet.) 123 45 Stock A 0.09 0.07 0.13 -0.01 0.09 Stock B 0.05 0.01 0.06 0.02 -0.04 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.42, what is the expected return and standard deviation of a portfolio of 60% stock A and 40% stock B?

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