Scenario Probability Severe recession Mild recession 0.05 Stock Fund Rate of Return -41% Bond Fund Rate of Return -18% 0.20 Normal growth Boom Required: 0.30 0.45 -11.0% 8% 34% 14% 5% 6% 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.) Mean return Variance % %-Squared 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 4 decimal places.) Covariance %-Squared

Scenario Probability Severe recession Mild recession 0.05 Stock Fund Rate of Return -41% Bond Fund Rate of Return -18% 0.20 Normal growth Boom Required: 0.30 0.45 -11.0% 8% 34% 14% 5% 6% 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.) Mean return Variance % %-Squared 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 4 decimal places.) Covariance %-Squared

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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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.)
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
Current Attempt in Progress To achieve a zero standard deviation for a portfolio, calculate the weights of stock A and stock B, assuming the correlation coefficient is-1. Use the following information. (Round intermediate calculations and final answers to 2 decimal places, e.g. 31.21%.) State of the economy Probability of Expected return on Expected return on occurrence stock A in this state stock B in this state High growth 30% 41.5% 56.5% Moderate growth 25% 21.5% 26.5% Recession 45% -11.5% -21.5% Weight of stock A % Weight of stock B %
Consider the following information: Probability of State of State of Economy Boom Bust Economy 0.55 8.45 a. What is the expected return on an equally weighted portfolio of these three stocks? (Do not round intermediate Round the final answer to 2 decimal places.) Expected return Variance Rate of Return if State Occurs Stock A Stock B Stock C 0.06 0.14 0.34 0.10 0.02 -0.07 10.65% b. What is the variance of a portfolio invested 25% each in A and B and 50% in C? (Do not round intermediate calc the final answer to 6 decimal places.)
О SB Fund has run the Carhart multi-factor regression on the expected return of its portfolio A. Based on the following factor loadings what types of stocks is portfolio A most likely holding? Risk premium ВА ад Alpha Market SMB HML Momentum 8.0% 3.5% 4.0% 2.1% 0.9 1.7 -0.6 -0.5 1.2% a. small stocks, growth stocks, and stocks with poor past performance b. large stocks, growth stocks, and stocks with poor past performance C. small stocks, growth stocks, and stocks with good past performance d. large stocks, value stocks, and stocks with good past performance e. small stocks, value stocks, and stocks with poor past performance
None
Problem 6-6 (Algo) Consider the following table: Scenario Probability Stock Fund Rate of Return Bond Fund Rate of Return Severe recession 0.10 -44% -11% Mild recession 0.20 -24% 17% Normal growth 0.40 29% 10% Boom 0.30 34% -7% 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.)
None
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance Probability of State of Economy .30 .40 .30 Rate of Return If State Occurs The standard deviation of Stock I's expected return is percent, and the Stock II beta is Stock I .10 .17 .11 The market risk premium is 8 percent, and the risk-free rate is 3 percent. Note: Do not round intermediate calculations. Enter your standard deviation answers as a percent rounded to 2 decimal places, e.g., 32.16. Round your beta answers to 2 decimal places, e.g., 32.16. Stock II -.25 .12 .45 percent, and the Stock I beta is is "riskier". Therefore, Stock Il The standard deviation of Stock Il's exp
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock C Boom .14 Bust .16 a. b. Stock B .58 .42 .22.40 .06-.05 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.) What is the variance of a portfolio invested 22 percent each in A and B and 56 percent in C? (Do not round intermediate calculations and round your answer to 6 decimal places, e.g., .161616.)
Fund A Fund B Expected Ret. E(r) 13.2% 8.3% Standard Deviation - \sigma 15.5% 14.7% The table above contains expected annual returns for funds A and B. Assuming that the risk free rate is 1.34% and that the correlation of returns between funds A and B is 0.32, calculate the weight of Fund A in the Optimal two - risky asset portfolio comprised of funds A and B. Note: Enter your answer in percentages rounded to the nearest one digit after the decimal point. For example, if the weight of Fund A is 15.437% or 0.15437, enter it as: 15.4
Illustration 2 Annual returns for three funds and a market index are given below: Fund A Fund B 17.1 14.5 28.1 19.7 Beta(Bp) 1.20 0.92 Risk free rate= 8.6% Required: Performance evaluation of the 3 funds Rp Op Fund C 13 22.8 1.04 Rm 11 20.5 1.00

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