Consider the following table: Scenario Severe recession Mild recession Normal growth Boom Required: Probability Stock Fund Rate of Return Bond Fund Rate of Return 0.10 -39% -12% 0.20 -19% 18% 0.40 24% 11% 0.30 29% -8% 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.) Mean return Variance 10.6 %

Consider the following table: Scenario Severe recession Mild recession Normal growth Boom Required: Probability Stock Fund Rate of Return Bond Fund Rate of Return 0.10 -39% -12% 0.20 -19% 18% 0.40 24% 11% 0.30 29% -8% 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.) Mean return Variance 10.6 %

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 −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
Consider the following table: Stock Fund Bond Fund Scenario Probability Rate of Return Rate of Return Severe recession 0.05 –27 % –12 % Mild recession 0.25 –7 % 18 % Normal growth 0.40 12 % 11 % Boom 0.30 17 % –8 % 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.) mean return: variance: 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.)vovariance:
Consider the following table: Stock Fund Bond Fund Rate of Rate of Scenario Probability Return Return Severe 0.05 -38% -8% recession Mild recession 0.25 8% -16% Normal growth 0.40 18% 5% Boom 0.30 32% -5% b. Calculate the values of expected return and variance for the stock fund. (Do not round intermediate calculations. Enter "Expected return" value as a percentage rounded to 1 decimal place and "Variance" as decimal number rounded to 4 decimal places.) Expected return Variance c. Calculate the value of the covariance between the stock and bond funds. (Negative value should be indicated bya minus sign. Do not round intermediate calculations. Enter your answer as a decimal number rounded to 4 decimal places.) Covariance
Consider the following table: Scenario Severe recession Mild recession Normal growth Boom Probability 0.05 0.25 0.40 0.30 Stock Fund Rate of Return -32% -12% 17% 22% Bond Fund Rate of Return -11% 17% 10% -7% a. Calculate the values of mean return (or called expected 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.) (Hint: Recall the formula on Page 29 (Example: Volatility of a Two-Stock Portfolio) of Slides of Lecture 2a) b. Calculate the value of the covariance between the stock and bond funds. (Negative
Consider the following table: Scenario Severe recession Mild recession Normal growth Boom Required: Probability 0.05 Stock Fund Rate of Return -33% Bond Fund Rate of Return -12% 0.25 -13% 18% 0.40 18% 11% 0.30 23% -8% 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.) Mean return Variance % 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.) Covariance
Consider the following information: Rate of Return If State Occurs State of Probability of State of Economy Stock A Stock B Economy Recession Normal .17 .05 .09 21 .62 .08 .25 Boom .21 16 a. Calculate the expected return for Stocks A and B. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 declmal places, e.g., 32.16.) b. Calculate the standard deviation for Stocks A and B. (Do not round Intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) a. Stock A expected return Stock B expected return b. Stock A standard deviation Stock B standard deviation
Consider the following table: Severe recession Mild recession Normal growth Boom Scenario Mean return Variance Covariance Probability 0.05 0.25 % 0.40 0.30 Stock Fund Rate of Return 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.) -26% -6% 11% 16% Bond Fund Rate of Return -11% 17% 10% -7% 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 information on states of the economy and stock returns to calculate the standard deviation of returns. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) Probability of State of Security Return if State Occurs State of Economy Economy 0.40 Recession Normal -5.50% 11.00 0.40 0.20 Вoom 17.00
Plz show the formula step by step. There is the following table shows the probabilities of occurrence of 3 states and the expected rate of returns on stocks A and B State Probability Expected rate ofReturns on Stock A Expected rate ofReturns on Stock B Boom 0.5 0.25 0.20 Neutral 0.3 0.15 0.10 Recession 0.2 0.05 0.02 (A) Calculate the expected rates of returns and standard deviations of stocks A and B. The colleague has given you his forecasts of stocks C and D as follows: State Probability Expected rate ofReturns on Stock C Expected rate ofReturns on Stock D Boom 0.7 0.40 -0.10 Bust 0.3 -0.05 0.30 She would like to invest 80% of his money in stock C and 20% of her money in stock D to construct a portfolio.(B) Calculate the portfolio's expected rate of returns and its standard deviation
Consider the following information: Rate of Return If State Occurs State of Probability of State of Economy Stock A Economy Stock B Recession .15 .06 - 10 Normal .56 .09 .19 Вoom .29 .14 .36 . Calculate the expected return for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) . Calculate the standard deviation for Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) Stock A expected return % Stock B expected return % Stock A standard deviation % Stock B standard deviation %
Consider the following information about Stocks I and ll: Rate of Return If State Occurs Probability of State of- Economy .15 State of Economy Stock I Stock II Recession .05 -.21 Normal .70 .18 .10 Irrational exuberance .15 .07 .39 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. (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.) The standard deviation on Stock l's return is percent, and the Stock I beta is The standard deviation on Stock Il's return is percent, and the Stock II beta is Therefore, based on the stock's systematic risk/beta, Stock is riskier.
Consider the following information: State of Economy Probability of State of Economy Rate of Return if State Occurs Stock A Stock B Recession .17 .08 −.12 Normal .58 .11 .17 Boom .25 .16 .34 a. Calculate the expected return for Stocks A and B. (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 Stocks A and B. (Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.)

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