The probabilities of different states of economy occurring and the holding period retum (HPR) of the Stock A and Bond B at different states of economy are shown below. State of Economy Boom Normal Recession Probability of the State of Economy 35% 45% 20% HPR of Stock A HPR of Bond B 20% -5% 12% 3% -15% 10% Other information: Standard deviation of the market portfolio is 10% 1. Calculate the standard deviation of Stock A. 2. Calculate the standard deviation of Bond B. 3. Calculate the correlation coefficient of Stock A and Bond B. 4. Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B. Calculate the standard deviation of the portfolio. 5. Out of the total variance of Stock A, 49% is systematic variance (explained variance) and 51% is non-systematic variance (unexplained variance). Calculate the beta of Stock A.

The probabilities of different states of economy occurring and the holding period retum (HPR) of the Stock A and Bond B at different states of economy are shown below. State of Economy Boom Normal Recession Probability of the State of Economy 35% 45% 20% HPR of Stock A HPR of Bond B 20% -5% 12% 3% -15% 10% Other information: Standard deviation of the market portfolio is 10% 1. Calculate the standard deviation of Stock A. 2. Calculate the standard deviation of Bond B. 3. Calculate the correlation coefficient of Stock A and Bond B. 4. Suppose an investor invests $1.2 million in Stock A and $800,000 in Bond B. Calculate the standard deviation of the portfolio. 5. Out of the total variance of Stock A, 49% is systematic variance (explained variance) and 51% is non-systematic variance (unexplained variance). Calculate the beta of Stock A.

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

Using the data in the following table, and the fact that the correlation of A and B is 0.69, calculate the volatility (standard deviation) of a portfolio that is 60% invested in stock A and 40% invested in stock B. Year 2008 2009 2010 2011 2012 2013 Realized Returns Stock A - 2% 11% 8% - 1% 1% 11% Stock B 18% 33% 6% - 8% - 6% 30% n The standard deviation of the portfolio is %. (Round to two decimal places.)
A small market consists of three stocks, A, B, and C., and their financial data and projection are presented below. Assume CAPM holds. Stock Number of shares Stock Price Beta A 750 33 1.2 B 220 51 0.8 C 450 19 1.4 Economic condition Probability A B C Boom 20% 20% 22% 23% Normal 50% 15% 10% 12% Recession 30% 2% 5% 7% Find: a) the expected return and standard deviation on this portfolio. b) the expected return on the market using portfolio beta if Rf=5%.
Consider the following states of outcomes, probabilities, and expected returns on only stocks three stocks in your portfolio; X, Y, and Z. State Probability X Y Z Boom 0.1 16% 10% 22% Semi-Boom 0.15 14% 8% 18% Normal 0.55 10% 6% 14% Mild-Recession ?? 5% 4% -10% Full-Recession 0.05 -3% 2% -12% a. What is the expected return of the portfolio if $25,000 is invested in X, $35,000 in Y, and $30,000 invested in stock Z? b. What are the standard deviations of stocks X, Y, and Z?
Given the information below, compute the expected return and standard deviation for the two stocks: Economic condition Probability Stock A Return Recession Normal Boom 0.30 0.55 0.15 6% 7% 11% Stock B Return -20% 13% 33%
None
Review the following market information: Current Stock Market Return 11.25% Current T-Bill Price $979.43 Historic T-Bill Average Return 2.80% Historic Stock Market Average Return 8.10% Stock Beta 1.23 What is the required return (rounded to two places)?
2. Based on the following information calculate the expected return and standard deviation for the two stocks: State of economy Probability of state of economy Rate of return if state occur Stock A Stock B -.17 .12 .29 Recession Normal Boom 3. How should the price of a stock change when it goes ex-dividend? 4. Suppose stock in Gamma Air Freight has a beta of 1.25. the market risk premium is 7% and the risk free rate is 6%. Alpha's last dividend was $2 per share and the dividend is expected to grow at 8% indefinitely. The stock currently sells for $30. What is Gamma's cost of equity capital? .05 .65 .30 .05 .08 .13
Below are standard deviations of four stocks: M, N, O and P. Stock M N O P Standard deviation 12% 20% 15% 30% 1. Which stock is the riskest? 2. Based on the risk-return tradeoff, which stock should provide the highest 3. If stock O provides a higher return than stock P, what should happen?
Suppose your expectations regarding the stock price are as follows: State of the Market Boom Normal growth Recession Probability Ending Price 0.21 $ 140 0.30 110 0.49 80 Use the equations E (r) = Ep (s) r(s) and o² = Ep (s) [r(s) - E(r)]² to compute the mean and standard deviation of the HPR on S S HPR (including dividends) 50.5% 18.0 -12.5 stocks. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Mean Standard deviation Answer is complete but not entirely correct. 13.65 % 20.48 %
1. The following table presents the expected returns of three stocks and the risk free rate. в 4% Stock A 8% Expected return What is the expected return and risk on an equally weighted portfolio composed of these four assets? The standard deviation of stock A is 10% and the covariance between A and B equals 0.0045. The correlation matrix between A, B and C is: 14% 4% Correl B A 1 0.3 0.7 B 0.3 0.5 0.5 Combining stocks A and C in a portfolio in equal proportions will result in a variance of 1.95%. 0.7
Consider the following information on Stocks I and II: State of Economy Recession Normal Irrational exuberance. Probability of State) of Econony 15 .70 .15 a. Stock I beta Stock Il beta. b. Stock I standard deviation Stock Il standard deviation Rate of Return if State Occurs. Stock I Stock II 05 18 07 The market risk premium is 7 percent, and the risk-free rate is 3.5 percent. a. Calculate the beta of each stock. Note: Do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. b. Calculate the standard deviation of each stock. c. More systematic nsk d. More unsystematic risk e. "Riskier stock Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. c. Which stock has the most systematic risk? d. Which one has the most unsystematic risk? e. Which stock is "riskler"? -.21 .10 39 % %
Listed below is the return probability distribution associated with the stocks of XYZ Company and the market portfolio under different states of the economy: State Recession Normal Boom 0.00452 O 0.00552 0.00652 Probability O 0.00752 0.4 0.3 0.3 XYZ Return What is the covariance between XYZ return and Market return? -3% 14% 20% Market Return 2% 8% 16%

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