You decide to invest in a portfolio consisting of 15 percent Stock X, 51 percent Stock Y, and the remainder in Stock Z. Based on the following information, what is the standard deviation of your portfolio? State of Probability of Economy Normal Boom State Economy .77 .23 Return if State Occurs Stock X Stock Y Stock Z 10.50% 17.80% 3.90% 25.80% 12.90% 17.30%
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You decide to invest in a portfolio consisting of 15 percent Stock �, 51 percent Stock Y, and the remainder in Stock Z. Based on the following information in the picture, what is the standard deviation of your portfolio? Multiple Choice 8.44% 2.51% 3.35% 7.24% 5.79%
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- Consider the following information about three stocks: Rate of Return If State Occurs Probability of State of Economy .25 State of Economy Stock A Stock B Stock C Вoom .13 .29 .60 Normal .60 .08 .11 .13 Bust .15 .02 -18 -45 a-1.lf your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a- What is the variance? (Do not round intermediate calculations and round 2. your answer to 5 decimal places, e.g., .16161.) a- What is the standard deviation? (Do not round intermediate calculations and enter 3. your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) c-1. If the expected inflation rate…For an investment in a stock, the probability of the return being -10.0% is 0.3, 10.0% is 0.4, and 30.0% is 0.3. Given the probability distributions, what is the expected rate of return for the investment?Choices:A. 10.00%B. 9.50%C. 15.00%D. 12.50%E. 13.00%Consider information given in the table below and answers the question asked thereafter: State Probability return on stock A Return on stock B A 0.15 10% 9% B 0.15 6% 15% C 0.10 20% 10% D 0.18 5% -8% E 0.12 -10% 20% F 0.30 8% 5% i. Calculate expected return on each stock? On the basis of this measure, which stockyou will choose?ii. Calculate standard deviation of the returns on each stock? On the basis of thismeasure, which stock you will choose?iii. Calculate coefficient of variance of the returns on each stock? On the basis of thismeasure, which stock you will choose?
- 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.)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 lineConsider the following information about three stocks: State of Economy Probability of State of Economy Rate of Return If State Occurs Stock A Stock B Stock C Boom .25 .13 .29 .60 Normal .60 .08 .11 .13 Bust .15 .02 −.18 −.45 a-1. If your portfolio is invested 40 percent each in A and B and 20 percent in C, what is the portfolio expected return? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a-2. What is the variance? (Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.) a-3. What is the standard deviation? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If the expected T-bill rate is 3.70 percent, what is the expected risk premium on the portfolio? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g.,…
- Given the following information below for Stock A, calculate its standard deviation 6. Where: wwwww pi Probability of some state į a (R-R)'xp mean il Ri = Expected return in state į Rmsa Expected return Economic State i pi Probability of some statei Ri= Expected return in statei Weighted Ri for each State .39 22% Вoom Normal 11% 60 Bust 21 3% Rmean (Sum Column for Stock A Expected Returnl Bring the answer you calculated for Rmean Expected return above and enter it in the correct column below the finish calculating the Standard Deviation. (Ri-Rmean* x pi State i (Ri-Rmean) (Ri - Bmean) pi= Ri = Rmean= 22% 39 Boom Normal 60 11% Bust 3% 21 Sum of Column = Variance) = Square Root of Variance Standard DeviationFollowing are the probability distribution of returns of portfolio of Stock A and Stock B in equal proportion of weight in each state of economy. You are required to calculate Expected Return and Risk for individual Stocks? State of Economy 1 2 3 4 5 Probability 0.2 0.2 0.2 0.2 0.2 Return on Stock A (%) 15 (5) 5 35 25 Return on Stock B (%) (5) 15 25 5 35 If you deposit Rs. 1,000 in the bank at a nominal interest rate of 6 percent, you will have Rs. 1,060 at the end of the year. Suppose that the inflation rate during the year is also 6 percent. Find real amount in Peso?You decide to invest in a portfolio consisting of 25 percent Stock A, 35 percent Stock B, and the remainder in Stock C. Based on the following information, what is the expected return of your portfolio? Probability of State of Economy Return if State Occurs State of Economy Stock A Stock B Stock C 0.4 -12% 4% 1% Bear Normal 0.2 5% 8% 8% Bull 0.4 28% 12% 17% O A. 8.80% O B. 9.16% OC. 7.40% O D.8.17%
- Consider an investment portfolio that consists of three different stocks, with the amount invested in each asset shownbelow. Assume the risk-free rate is 2.5% and the market risk premium is 6%. Use this information to answer thefollowing questions.Stock Weights BetasChesapeake Energy 25% 0.8Sodastream 50% 1.3Pentair 25% 1.0a) Compute the expected return for each stock using the CAPM and assuming that the stocks are all fairly priced.b) Compute the portfolio beta and the expected return on the portfolio.c) Now assume that the portfolio only includes 50% invested in Pentair and 50% invested in Sodastream (i.e., a twoassetportfolio). The yearly-return standard deviation of Pentair is 48% and the yearly-return standard deviation ofSodastream is 60%. The correlation coefficent between Pentair’s returns and Sodastream’s returns is 0.3 What is theexpected yearly-return standard deviation for this portfolio?The market and Stock J have the following probability distributions: ProbabIlity rM rJ 0.3 15% 20% 0.4 9 5 0.3 18 12 A. Calculate the expected rates of return for the market and Stock J. B. Calculate the standard deviations for the market and Stock J(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 retum? Common Stock A Probability 0.25 0,50 0:25 Common Stock B Return 10% 17% 10% Probability 0.10 0:40 0:40 010 (Click on the soon in order to copy its contents into a spreadsheet) Return -6% 8% 15% 20% COD a. Given the information in the table the expected rate of return for stock A is 15.5% (Round to two decimal places) The standard deviation of stock A is 4 36% (Round to two decimal places)