Suppose that the standard deviation of returns from a typical share is about 0.45 (or 45%) a year. The correlation between the returnsof each pair of shares is about 0.2.a. Calculate the variance and standard deviation of the returns on a portfolio that has equal investments in 2 shares, 3 shares, and soon, up to 10 shares. (Use decimal values, not percents, in your calculations. Do not round intermediate calculations. Round the"Variance" answers to 6 decimal places. Round the "Standard Deviation" answers to 3 decimal places.)No. ofSharesStandardVarianceDeviation(%)123467810b. How large is the underlying market variance that cannot be diversified away? (Do not round intermediate calculations. Round youranswer to 3 decimal places.)LO

Let's try to solve this problem conceptually first before getting into excel.Suppose we include n…

Answered: Suppose that the standard deviation of…

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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Suppose the index model for stocks A and B is estimated with the following results: rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB, σM = 20%, and RM = rM − rf . The regression R2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. Total: (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?
Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively. Answer the following questions. (a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?
(b) Assume that the covariance between Stock X and Stock Y is -0.005. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. {Hint: you can express your answers for the variance and standard deviation in decimals or percentage form:• For decimals, the covariance in your equation should be -0.005• For percentage, the covariance in your equation should be -50%2(= -50/10000)]
Suppose the index model for stocks A and B is estimated with the following results:rA = 2% + 0.8RM + eA, rB = 2% + 1.2RM + eB , σM = 20%, and RM = rM − rf . The regressionR2 of stocks A and B is 0.40 and 0.30, respectively.(a) What is the variance of each stock? (b) What is the firm-specific risk of each stock? (c) What is the covariance between the two stocks?
Stocks A and B have the following probability distributions of expected future returns: a. Calculate the expected rate of return, B, for Stock B (A = 12.50%.) Do not round intermediate calculations. Round your answer to two decimal places. % b. Calculate the standard deviation of expected returns, GA, for Stock A (σ = 20.90%.) Do not round intermediate calculations. Round your answer to two decimal places. % Now calculate the coefficient of variation for Stock B. Do not round intermediate calculations. Round your answer to two decimal places. Is it possible that most investors might regard Stock B as being less risky than Stock A? I. If Stock B is more highly correlated with the market than A, then it might have a lower beta than Stock A, and hence be less risky in a portfolio sense. II. If Stock B is more highly correlated with the market than A, then it might have the same beta as Stock A, and hence be just as risky in a portfolio sense. III. If Stock B is less highly correlated with…
(a) Calculate the expected rate of return, variance and standard deviation of Stock X & Stock Y. (b) Assume that the covariance between Stock X and Stock Y is -0.005. Calculate the expected rate of return, variance and standard deviation of Jenny’s portfolio. {Hint: you can express your answers for the variance and standard deviation in decimals or percentage form:• For decimals, the covariance in your equation should be -0.005• For percentage, the covariance in your equation should be -50%2(= -50/10000)] (c) Explain why, in general, the portfolio risk is lower than the weighted average of individual stocks’ risk. (d) Suppose the risk-free rate is 4%, the market risk premium is 15% and the betas for stocks X and Y are 1.2 and 0.2 respectively. Using the CAPM model, estimate the required rates ofreturn of Stock X and Stock Y. (e) Given the results above, are Stocks X and Y overpriced or underpriced? Explain.
Here are the percentage returns on two stocks. Digital Executive Fruit Cheese 14% 4% Month January February March April May June July August 6 8 Variance Standard deviation % Digital Cheese 2 4 14 a-1. Calculate the monthly variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 1 decimal places.) -3 47.5 69X Executive Fruit 23 2 4.8 X
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 2.5% + 0.95RM + eA RB = -1.8% + 1.10RM + eB OM = 27%; R-squareд = 0.23; R-squareB = 0.11 Break down the variance of each stock to the systematic and firm-specific components. Note: Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Round your answers to nearest whole number. Systematic Firm-specific Risk for A Risk for B
Attached in images are the returns on two stocks: a. Calculate the variance and standard deviation of each stock. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Digital Cheese Return Executive Fruit Return Variance: Standard Deviation: b. Which stock is riskier if held on its own? Digital Cheese or Executive Fruit c. Now calculate the returns in each month of a portfolio that invests an equal amount each month in the two stocks. (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Jan. Feb. March April May June July August d. Is the variance more or less than halfway between the variance of the two individual stocks?
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 4.0% +0.50RM + eA RB = -1.2% + 0.70RM + eB \sigma M = 17%; R-squareA = 0.26; R-squareB = 0.18 Break down the variance of each stock to the systematic and firm - specific components. Note: Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Round your answers to nearest whole number.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA= 3.6 % + 1.20RM + eA RB = -1.6 % +1.50RM + eg OM = 16%; R-squareA = 0.25; R-squareg = 0.15 Break down the variance of each stock to the systematic and firm-specific components. (Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. Round your answers to 4 decimal places.) Risk for A Risk for B Systematic Firm-specific
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA = 5.0% +1.30RM + еA RB = -2.0% + 1.60RM + еB ом = 20%; R-squareд = 0.20; R-squareB 0.12 = Break down the variance of each stock to the systematic and firm-specific components. Note: Do not round intermediate calculations. Calculate using numbers in decimal form, not percentages. For example use "20" for calculation if standard deviation is provided as 20%. Round your answers to nearest whole number. Systematic Firm-specific Risk for A Risk for B 0 0 0 1

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