The probability distribution of returns for the two stocks X and Y are as follows: Probability 0.1 0.3 0.05 0.25 0.15 0.15 For each of the two stocks, calculate: a. The expected return. b. Variance of returns c. Volatility of returns. Stock X 0.05 -0.1 0.08 -0.08 0.20 0.12 Return Stock Y 0.13 0.04 -0.12 0.21 0.1 -0.05

The probability distribution of returns for the two stocks X and Y are as follows: Probability 0.1 0.3 0.05 0.25 0.15 0.15 For each of the two stocks, calculate: a. The expected return. b. Variance of returns c. Volatility of returns. Stock X 0.05 -0.1 0.08 -0.08 0.20 0.12 Return Stock Y 0.13 0.04 -0.12 0.21 0.1 -0.05

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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Stocks X and Y have the following probability distributions of expected future returns: Probability 0.1 0.2 0.4 0.2 0.1 O1.02 and 1.47 1.02 and 1.15 1.11 and 1.47 What are the coefficient of variations of both X and Y? 1.11 and 1.35 X (10%) O111 and 1.15 2204 12 48 Y (35%) 0 20 25 55
3) i) Calculate the average returns, variance and standard deviation for three securities X, Y and Z that have performed as follows. Returns % Year X Y Z 1 11 36 -3 2 6 -7 0 3 -8 21 5 4 28 -12 9 5 13 43 5 ii) Is there any basis for preferring one of these securities over the others? iii) Calculate the covariances between X, Y and Z.
Give typing answer with explanation and conclusion Assume that two stocks are available. The first stock (Stock A) has an expected return of 25% and a standard deviation of 20%; the second stock (Stock B) has an expected return of 12% and a standard deviation of 10%. If the correlation between the stocks is 0.10, what are the weight of Stock A (WA) and Weight of Stock B(WB) in the minimum-variance portfolio? WA=17.39%, WB=82.61% WA=14.29%, WB=85.71% WA=10.30%, WB=89.70% WA=30.25%, WB=69.75%
A stock's returns have the following distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (36%) Below average 0.1 (11) Average 0.4 17 Above average 0.3 27 Strong 0.1 56 1.0 Assume the risk-free rate is 3%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
Consider the following probability distribution for stocks A and B: Table 4 Probability Distribution for Stocks A and B State Probability Return on Stock A Return on Stock B 1 0.1 10% 8% 2 0.2 13% 7% 3 0.2 12% 6% 4 0.3 14% 9% 5 0.2 15% 8% The variances of Stocks A and B are _____ and _____, respectively. Group of answer choices .015%; .019% .022%; .012% .032%; .02% .015%; .011% .014%; .021%
You have estimated the following probability distributions of expected future returns for Stocks X and Y: Stock X Stock Y Probability Return Probability Return 0.1 -12 % 0.2 4 % 0.1 11 0.2 7 0.3 14 0.3 11 0.3 30 0.2 17 0.2 40 0.1 30 What is the expected rate of return for Stock X? Stock Y? Round your answers to one decimal place.Stock X: % Stock Y: % What is the standard deviation of expected returns for Stock X? For Stock Y? Round your answers to two decimal places.Stock X: % Stock Y: % Which stock would you consider to be riskier? is riskier because it has a standard deviation of returns.
2. Suppose that the market model for stocks A and B is estimated with the following results: RA = 1% +0.9*RM+EA RB = -2% + 1.1*RM+EB The standard deviation of the markets returns is 20% and firm specific risk (standard deviation) equals 30% for A and 10% for B. a. Compute the risk (standard deviation) of each stock and the covariance between them. Suppose we form an equally weighted portfolio of stocks A and B. What will be the nonsystematic standard deviation of that portfolio? b.
The beta of a portfolio is: A. A measure of the correlation of betas of the securities in the portfolio. B. Always greater than one. C. The market value weighted average beta of the securities in the portfolio. D. The geometric average of the beta of the securities in the portfolio.
Based on the information, calculate expected returns for each share, variance for each share and standard deviation for each share
A stock's returns have the following distribution: Demand for theCompany's Products Probability of thisDemand Occurring Rate of Return ifthis Demand Occurs Weak 0.1 (28%) Below average 0.1 (10) Average 0.4 12 Above average 0.3 22 Strong 0.1 55 1.0 Assume the risk-free rate is 3%. Calculate the stock's expected return, standard deviation, coefficient of variation, and Sharpe ratio. Do not round intermediate calculations. Round your answers to two decimal places. Stock's expected return: % Standard deviation: % Coefficient of variation: Sharpe ratio:
Consider the following probability distribution for stocks A and B: State Probability Return on Stock A Return on Stock B 1 0.10 10% 8% 2 0.20 13% 7% 3 0.20 12% 6% 4 0.30 14% 9% 5 0.20 15% 8% The coefficient of correlation between A and B is:
Given the following probability distribution, what are the expected return and the standard deviation of returns for Security J? State Pi ri 1 0.5 11% 2 0.3 8% 3 0.2 5% O 9.40%; 2.04% O 8.90%; 2.34% O 7.40%; 2.94% O 8.40%; 2.64% O 7.90%; 1.74%

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