You are given the following information:Probability ofState ofEconomyReturn onReturn onState ofStock JStock KEconomyBear.28-.023.031NormalBull.63.135.059.09.215.089a. Calculate the expected return for each of the stocks. (Do not round intermediatecalculations and enter your answers as a percent rounded to 2 decimal places, e.g.,32.16.)b. Calculate the standard deviation for each of the stocks. (Do not round intermediatecalculations and enter your answers as a percent rounded to 2 decimal places, e.g.,32.16.)c. What is the covariance between the returns of the two stocks? (Do not roundintermediate calculations and round your answer to 6 decimal places, e.g.,.321616.)d. What is the correlation between the returns of the two stocks? (Do not roundintermediate calculations and round your answer to 4 decimal places, e.g., .3216.)a.Stock J expected return9.80 %Stock K expected return5.39%b. Stock J standard deviationStock K standard deviationc. Covariance7.87%1.66%0.001258d.Correlation0.9629

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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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What is the expected return of Stock B given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"
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. A B с Po 81 41 82 Rate of return 20 100 200 200 Divisor P1₁ 86 36 92 21 100 200 200 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) % P2 86 36 46 Q2 100 200 400 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
A stock's return has the following distribution: Demand for theCompany's Products Probability of ThisDemand Occurring Rate of Return if ThisDemand Occurs (%) Weak 0.1 -20 % Below average 0.2 -8 Average 0.4 17 Above average 0.2 35 Strong 0.1 65 1.0 Calculate the stock’s expected return and standard deviation. Do not round intermediate calculations. Round your answers to two decimal places. Expected return: % Standard deviation: %
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. A B C Po 82 42 84 Rate of return 00 100 Divisor 200 200 P1 87 37 94 01 100 200 200 % P2 87 Required: a. Calculate the rate of return on a price-weighted index of the three stocks for the first period (t = 0 to t= 1). (Do not round intermediate calculations. Round your answer to 2 decimal places.) 370 47 92 100 200 400 b. What will be the divisor for the price-weighted index in year 2? (Do not round intermediate calculations. Round your answer to 2 decimal places.) c. Calculate the rate of return of the price-weighted index for the second period (t=1 to t=2).
Vinay
Consider the following information: Stock Return if Market Return Is: Stock –13% 10% A 0 14 B –5 21 C –25 36 D 10 8 E 15 -10 What is the beta of each of the stocks? (Leave no cells blank - be certain to enter "0" wherever required. Use decimals, not percents, in your calculations. A negative value should be indicated by a minus sign. Round your answers to 1 decimal place.) Stock Beta A B C D E
Consider the following information on Stocks I and II: Probability of State of Economy State of Economy Rate of Return if State Occurs Stock I Stock II Recession .22 .045 -.37 Normal .62 .355 .29 Irrational .16 exuberance .215 .47 The market risk premium is 11.7 percent, and the risk-free rate is 4.7 percent. a. Calculate the beta and standard deviation of Stock I. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. b. Calculate the beta and standard deviation of Stock II. Note: Do not round intermediate calculations. Enter the standard deviation as a percent and round both answers to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskier"? a. Beta Standard deviation b. Beta Standard deviation c. Most systematic risk d. Most unsystematic risk e. "Riskier" stock 1.94 % %
Suppose 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 B
Am. 132.
Stocks A and B have the following probability distributions of expected future returns: Probability 0.1 (15%) (31%) 0.1 5 0 0.6 15 18 0.1 0.1 22 31 30 49 a. Calculate the expected rate of return, B, for Stock B (A = 13.30%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 19.42%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be less risky in…
Stocks A and B have the following probability distributions of expected future returns: Probability A B 0.1 (7 %) (26 %) 0.1 3 0 0.5 14 22 0.2 20 26 0.1 36 50 Calculate the expected rate of return, , for Stock B ( = 14.20%.) Do not round intermediate calculations. Round your answer to two decimal places. % Calculate the standard deviation of expected returns, σA, for Stock A (σB = 18.68%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? If Stock B is less highly correlated with the market than A, then it might have a higher beta than Stock A, and hence be more risky in a portfolio sense. If Stock B is more highly correlated with the market than A, then it might have a higher…
What is the standard deviation of Stock B returns given the information below about its returns across future states of nature? Enter return in decimal form, rounded to 4th digit, as in "0.1234"

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