Question 13 of 19A portfolio consists of 40 percent Stock A and 60 percent Stock B. Stock A has a Beta of 1.2, an expected return of 0.09, and a variance of 0.10. Stock B has a Beta of 0.8, an expected return of 0.09, and a varianceof 0.07. The covariance of returns between Stocks A and B is 0.20. What is the standard deviation of the portfolio?O 0.3704O 0.3152O 0.2266O 0.2987O None of the listed choices is correct.

given, weight of A (wa) =0.6 weight of B (wb) = 0.4 vara= 0.10 varb= 0.07 covariance = 0.2

Question 13 of 19 A portfolio consists of 40 percent Stock A and 60 percent Stock B. Stock A has a Beta of 1.2, an evpected return of 0.09, and a variance of 0.10. Stock B has a Beta of 0.R, an expected return of 0.09, and a variance of 0.07. The covariance of returns between Stocks A and B is 0.20. What is the standard deviation of the portfolio? O 0.3704 O 0.3152 O 0.2266 O 0.2987 O None of the listed choices is correct.

Question 13 of 19 A portfolio consists of 40 percent Stock A and 60 percent Stock B. Stock A has a Beta of 1.2, an evpected return of 0.09, and a variance of 0.10. Stock B has a Beta of 0.R, an expected return of 0.09, and a variance of 0.07. The covariance of returns between Stocks A and B is 0.20. What is the standard deviation of the portfolio? O 0.3704 O 0.3152 O 0.2266 O 0.2987 O None of the listed choices is correct.

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

See similar textbooks

Similar questions

Portfolio Expected return Standard deviation Q 7.8% 10.5% R 10.0% 14.0% S 4.6% 5.0% T 11.7% 18.5% U 6.2% 7.5% (Q1) For each portfolio, calculate the risk premium per unit of risk (Sharpe ratio) that you expect to receive. Assume that the risk-free rate is 3.0%. (Q2) Using answers from Q1, which of these five portfolios is most likely to be the market portfolio and explain why. (200 words maximum)
Stock 1 has an expected return of 4% and a standard deviation of 38 %. Stock 2 has anexpected return of 11% and a standard deviation of 23 % . Their correlation is .17. You invest30% in stock 1 and 70% in stock 2. What is the variance of the portfolio?What is the standarddeviation of the portfolio?
QUESTION 2 The following table contains data on the returns of stock A and stock B from 2021 to 2024: Year 2021 2022 2023 2024 Return on stock A 6 8 10 12 Return on stock B 13 10 14 11 1. Compute the mean return on stock A and the mean return on stock B; 2. Compute the variance of the return on stock A and the variance of the return on stock B; 8. Compute the standard deviation of the return on stock A and the standard deviation of the return on stock B; 4. Compute the coefficient of variation of the return on stock A and stock B; 5. Compute RRC for stock A and stock B (Hint: RRC = Mean Return/Standard Deviation); 6. Would you invest in Stock A or Stock B? Why?
Question 1. Calculate the variance and standard deviation of a portfolio of two stocks. Question 2. Suppose the volatility of stock 2 is 16%, but the weight of stock 2 in the portfolio is 15%, will there be any effect on the standard deviation of the portfolio?
None
Ch 8 Problem Sets: 2. The following are estimates for two stocks. Expected Return 13% 18 Stock A B Betal 0.8 1.2 The market index has a standard deviation of 22% and the risk-free rate is 8%. a. What are the standard deviations of stocks A and B? b. Suppose that we were to construct a portfolio with proportions: Stock 4: Stock B: T-bills: Firm-Specific Standard Deviation 30% 40 .30 .45 25 Compute the expected return, standard deviation, beta, and nonsystematic standard deviation of the portfolio.
Question 3 A portfolio consisting of 5 securities could have its beta factor computed Security % of portfolio Beta factor of A B с D E 20 10 15 20 35 security 0.90 1.25 1.10 1.15 0.70 as follows: Weighted beta factor 0.180 0.125 0.165 0.230 0.245 If the risk-free rate of return is 12% and the expected return on the market is 20%. Determine the expected return of this portfolio.
Problem 5 Assume that you manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate (risk-free rate) is 7%. Your client chooses to invest 70% in the risky portfolio in your fund and 30% in a T-bill money market fund. We assume that investors use mean-variance utility: U = E(r) – 0.5 x Aa?, where E(r) is the expected return, A is the risk aversion coefficient and o? is the variance of returns. a) What is the expected value and standard deviation of the rate of return on your client's portfolio? b) What is the reward-to-volatility ratio (Sharpe ratio) of your risky portfolio? What is the reward-to-volatility ratio (Sharpe ratio) of your client's risky portfolio? Comment on the relationship between these two Sharpe ratio calculated and explain the intuition behind. c) Draw the Capital Allocation Line (CAL) of your portfolio on an expected return- standard deviation diagram. What is the slope of the CAL? Show the position of your…
5 Assume the historical volatility of a stock on the S&P 500 is 50% and the correlation between the returns of stock is 30% A. What is the average variance of stocks on the S&P? B. What is the average covariance of the stocks? C. Consider a portfolio of S&P stocks. What is the estimated volatility of the portfolio when there 10 stocks in the portfolio? What about 20 stocks in the portfolio?
Stock A Stock B 1 0.09 0.06 2 0.05 0.01 3 0.15 0.05 4 5 -0.04 0.08 0.01 -0.04 a. What are the expected returns of the two stocks? b. What are the standard deviations of the returns of the two stocks? c. If their correlation is 0.44, what is the expected return and standard deviation of a portfolio of 59% stock A and 41% stock B?
Vijay
Suppose you bought $48,000 worth of stock A and $80,000 worth of stock B. The standard deviation of returns is 59% for stock A and 27% for stock B. The two stocks' returns have a correlation of 0.2. What is the standard deviation of this portfolio's returns? a. 15.2% b. 18.6% c. 23.6% O d. 26.9% O e. 30.4% QUESTION 10

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS