Consider the following table:Stock Fund Bond FundRate ofRate ofScenarioProbabilityReturnReturnSevere0.05-38%-8%recessionMild recession0.258%-16%Normal growth0.4018%5%Boom0.3032%-5%b. Calculate the values of expected return and variance for the stock fund. (Do notround intermediate calculations. Enter "Expected return" value as a percentagerounded to 1 decimal place and "Variance" as decimal number rounded to 4decimal places.)Expected returnVariancec. Calculate the value of the covariance between the stock and bond funds. (Negativevalue should be indicated bya minus sign. Do not round intermediate calculations.Enter your answer as a decimal number rounded to 4 decimal places.)Covariance

b.Calculation of expected return and variance for stock funds:The expected return and variance for…

Answered: Consider the following table: Stock…

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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Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 0.60 X 4% Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) Answer is complete but not entirely correct. Information ratio Market Portfolio 10% 21% 1 0%
Consider the following table: Scenario Probability Stock FundRate of Return Bond FundRate of Return Severe recession 0.10 −41% −14% Mild recession 0.20 −21% 20% Normal growth 0.40 26% 13% Boom 0.30 31% −10% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 2 decimal places.) b. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated by a minus sign. Do not round intermediate calculations. Round your answer to 2 decimal places.)
Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk- free return during the sample period was 5%. Average return Standard deviation of returns Beta Residual standard deviation Guardian 14% 26% 1.2 (0.80) 4% X Answer is complete but not entirely correct. Information ratio Market Portfolio Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) 10% 21% 1 0%
Consider the following historical performance data for two different portfolios, the Standard and Poor's 500, and the 90-day T-bill presented below. What is the Fama diversification measure for the Globex Fund? Assume the T-bill rate as the risk- free rate and the S&P return as the market average return. Use at least four decimal places in your calculations, but report your answer in percentage terms rounded to two decimal places. (Ex..12345 should be entered as "12.35") Investment Vehicle Globex Fund World Fund S&P500 90-day T-bill Answer: Average Rate of Return% 25.2 13.92 15.52 7.10 Standard Deviation 21.33 14 12.8 0.3 Beta 1.05 0.95 R² 0.756 0.741
Consider the following table: Scenario Probability Stock FundRate of Return Bond FundRate of Return Severe recession 0.10 −43% −12% Mild recession 0.20 −17.0% 12% Normal growth 0.30 17% 6% Boom 0.40 31% 4% Required: a. Calculate the values of mean return and variance for the stock fund. (Do not round intermediate calculations. Round "Mean return" value to 1 decimal place and "Variance" to 4 decimal places.) b. Calculate the value of the covariance between the stock and bond funds
A second version of the Markowitz portfolio model maximizes expected return subject to a constraint that the variance of the portfolio must be less than or equal to some specified amount. Consider the Hauck Financial Service data. Click on the datafile logo to reference the data. Annual Return (%) Mutual Fund Year 1 Year 2 Year 3 Year 4 Year 5 Foreign Stock 10.06 13.12 13.47 45.42 -21.93 Intermediate-Term Bond 17.64 3.25 7.51 -1.33 7.36 Large-Cap Growth 32.41 18.71 33.28 41.46 -23.26 Large-Cap Value 32.36 20.61 12.93 7.06 -5.37 Small-Cap Growth 33.44 19.40 3.85 58.68 -9.02 Small-Cap Value 24.56 25.32 -6.70 5.43 17.31 (a) Construct this version of the Markowitz model for a maximum variance of 38. Let: FS = proportion of portfolio invested in the foreign stock mutual fund IB = proportion of portfolio invested in the intermediate-term bond fund LG = proportion of portfolio invested in the large-cap growth fund LV = proportion of portfolio invested in the large-cap value fund SG =…
Consider the following information: State of Economy Boom Bust Probability of State of Economy a. Expected return b. Variance .60 .40 Rate of Return if State Occurs % Stock A Stock B .23 .08 .15 .18 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. What is the variance of a portfolio invested 24 percent each in A and B and 52 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.) Stock C .42 -.09
Consider the following information: State of Economy Probability of State of Economy Boom Bust .68 :32 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B Stock C .11. .15 .05 .21 .26 -.06 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round Intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 23 percent each in A and B and 54 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161.
Consider the following information for stocks A, B, and C. The returns on the three stocks are positively correlated, but they are not perfectly correlated. (That is, each of the correlation coefficients is between 0 and 1.) Stock Expected Return Standard Deviation Beta A B с 9.30% 10.35 12.10 14% 14 14 0.8 1.1 1.6 Fund P has one-third of its funds invested in each of the three stocks. The risk-free rate is 6.5%, and the market is in equilibrium. (That is, required returns equal expected returns.) a. What is the market risk premium (гM-TRF)? Round your answer to one decimal place. % b. What is the beta of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. c. What is the required return of Fund P? Do not round intermediate calculations. Round your answer to two decimal places. % d. What would you expect the standard deviation of Fund P to be? I. Less than 14% II. Greater than 14% III. Equal to 14% -Select-
Consider the following information: State of Economy Probability of State of Economy Boom Bust .72 .28 a. Expected return b. Variance of portfolio Rate of Return if State Occurs Stock A Stock B .04 .25 13.73 % .10 .19 a. What is the expected return on an equally weighted portfolio of these three stocks? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. b. What is the variance of a portfolio invested 27 percent each in A and B and 46 percent in C? Note: Do not round intermediate calculations and round your answer to 5 decimal places, e.g., .16161. Stock C .30 -.10
A portfolio analyst has been asked to allocate investment funds among three different stocks. The relevant data for the stocks is shown in the following table. If the goal is to maximize return while maintaining risk within acceptable bounds (in this case, a portfolio standard deviation of no more than 20%), find the proper allocation of the funds to each stock. Return Risk (Standard Deviation Stock (R) A 20% to S) 25% Pair of Stocks Joint Risk (Covariance) A to B 0.05 B 10% 12% A to C 0.075 C 15% 10% B to C -0.05 ces What proportion of the portfolio should be allocated to stock]B?
8. A portfolio consists of bonds, stocks, commodities and real estates. The portfolio weightings, expected returns, variances and correlation matrix are shown below. Weight Expected Return Variance (%2) Bonds 50% 10% 15% 25% 8% 12% 20% 16% 10 30 15 20 0.1 0.3 0.4 0.6 1.0 0.2 1.0 Stocks Commodities Real Estate Correlation Matrix Bonds 1.0 -0.2 1.0 Stocks Commodities Real Estate Bonds Stocks Commodities Real Estate Calculate the standard deviation of the return of the portfolio.

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