Baghiben Given the following information, calculate the expected return and standard deviation for a portfolio that has 25 percent invested inStock A, 32 percent in Stock B, and the balance in Stock C. (Do not round intermediate calculations. Enter your answers as apercent rounded to 2 decimal places.).ReturnsState ofProbability ofEconomyState of EconomyStock ABoomBust0.300.7010%Stock B19%Stock C20%110-11Expected retur%Standard deviation%

Calculation of expected return and variance of the portfolio : weighted return…

Answered: Given the following information,…

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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Based on the following information: State of Economy Probability of State of Economy Return on Stock J Return on Stock K Bear .20 -.030.024 Normal .55.128.052 Bull .25 .208.082 a. Calculate the expected return for each of the stocks. (Do not round intermediate calculations 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 intermediate calculations 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 round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) d. What is the correlation between the returns of the two stocks? (Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .1616.)
Asset W has an expected return of 8.8 percent and a beta of .90. If the risk-free rate is 2.6 percent, complete the following table for portfolios of Asset W and a risk-free asset. (Do not round intermediate calculations. Enter your expected returns as a percent rounded to 2 decimal places, e.g., 32.16, and your beta answers to 3 decimal places, e.g., 32.161.) Portfolio Expected Percentage of Portfolio in Asset W Portfolio Return Beta 0 % 2.60 % 25 4.15 % 0.225 50 5.70 % 0.450 75 7.25 % 0.680 100 8.80 % 0.900 125 10.35 % 1.130 150 11.90 % 1.350 If you plot the relationship between portfolio expected return and portfolio beta, what is the slope of the line that results? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Slope of the line
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 38+0.7RM + eA + eB RB-28+1.2RM OM 20%; R-squareд 0.20; R-squareg = 0.12 What is the standard deviation of each stock? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Stock A Stock B = Standard Deviation % %
Fill in the missing information in the following table. Assume that Portfolio AB is 40 percent invested in Stock A. Note: A negative value should be indicated by a minus sign. Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. Year 2018 2019 2020 2021 2022 Average return Standard deviation Annual Returns on Stocks A and B Stock A Stock B 13.0 % 33.8 % -14.6 % 24.4 % 16.2 % 14.56 % % 21.0% -33.2 % 43.2 % 17.6 % 28.8 % % % Portfolio AB % % % % % % %
The index model has been estimated from the excess returns for stock A with the following results: = RA 12.00% +1.55RM+ eA °M = 24.00% σ(eд) = 18.50% What is the standard deviation of the return for stock A? (Round your answer to 2 decimal places.) Standard deviation %
K (Expected rate of return and risk) Syntex, Inc. is considering an investment in one of two common stocks. Given the information that follows, which investment is better, based on the risk (as measured by the standard deviation) and return? Common Stock A Probability 0.20 0.60 0.20 Common Stock B Return 13% 17% 18% Probability 0.10 0.40 0.40 0.10 (Click on the icon in order to copy its contents into a spreadsheet.) Return -7% 5% 16% 21% www a. Given the information in the table, the expected rate of return for stock A is 16.40 %. (Round to two decimal places.) The standard deviation of stock A is 1.74 %. (Round to two decimal places.) b. The expected rate of return for stock B is 9.8 %. (Round to two decimal places.) The standard deviation for stock B is 6.12 %. (Round to two decimal places.)
Directions: Compute the returns, average of returns and standard deviation of the following stocks and the PSEI. 1. 2. AGI SM Year Stock Return x x (x--x)² Year Stock Return x x (x-x)² Price Price 30/1/2014 27.100 30/1/2014 704.500 28/2/2014 30.000 28/2/2014 694.000 31/3/2014 28.500 31/3/2014 705.000 30/4/2014 31.150 30/4/2014 725.000 30/5/2014 29.650 30/5/2014 786.000 30/6/2014 29.100 30/6/2014 816.000 31/7/2014 26.350 31/7/2014 797.000 29/8/2014 24.600 29/8/2014 772.000 30/9/2014 26.000 30/9/2014 803.500 31/10/2014 25.300 31/10/2014 783.500 28/11/2014 24.800 28/11/2014 804.500 29/12/2014 22.550 29/12/2014 815.000 PSEI Year Stock Return x X (x-X)? 30/6/2014 6,844.31 Price 31/7/2014 6,864.82 30/1/2014 6,041.19 29/8/2014 7,050.89 3. 28/2/2014 6,424.99 30/9/2014 7,283.07 31/10/2014 7,215.73 31/3/2014 6,428.71 28/11/2014 7,294.38 30/4/2014 6,707.91 29/12/2014 7,230.57 30/5/2014 6,647.65
You are given the following information: Return on State of Economy Stock A Bear Normal Bull Return on Stock B 111 -.054 157 106 .082 242 Assume each state of the economy is equally likely to happen. a. Calculate the expected return of each stock. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. Calculate the standard deviation of each stock. (Do not round intermediate calculations 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? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .321616.) d. What is the correlation between the returns of the two stocks? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 4 decimal places, e.g., .3216.) a. Stock A expected return…
A stock will provide a rate of return of either -18% or 26%. If both possibilities are equally likely, calculate the stock's expected return and standard deviation. (Do not round intermediate calculations. Enter your answers as a whole percent.) Expected return % % Standard deviation ces < Prev 5 of 5 Next a here to search
Given the following information on a investment portfolio: Stock Name Expected returns $invested in stock Standard deviation of returntesla 15.5% 3750 10.3%microsoft 9.8% 5000 5.6%pfizer 13.8% 1250 12% Which stock should have the most systematic risk?
Suppose the expected returns and standard deviations of Stocks A and B are E(RA) = .092, E(RB) = 152, đA = .362, and Og = .622. %3D Calculate the expected return of a portfolio that is composed of 37 percent A and 63 percent B when the correlation between the returns on A and B is .52. (Do not a-1. round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio that is composed of 37 percent A and 63 percent B when the correlation coefficient between the returns on A and B is .52. а-2. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) Calculate the standard deviation of a portfolio with the same portfolio weights as in h part (a) when the correlation coefficient between the returns on A and B is -.52. (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-1.…
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.0%+ 0.40RM + eA RB = -1.8% + 0.9RM + eB OM 15%; R-squareд = 0.30; R-square= 0.22 = What is the standard deviation of each stock? Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Stock A Stock B Standard Deviation % %

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