Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 41%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 4.3%, and one-half have an alpha of -4.3%. The analyst then buys $1.3 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.3 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst's profit? (Enter your answers in dollars now in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount.). Expected profit Standard deviation b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Standard deviation

Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 41%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 4.3%, and one-half have an alpha of -4.3%. The analyst then buys $1.3 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.3 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst's profit? (Enter your answers in dollars now in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount.). Expected profit Standard deviation b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.) Standard deviation

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

Assume the return on a market index represents the common factor and all stocks in the economy have a beta of 1. Firm-specific returns all have a standard deviation of 31%. Suppose an analyst studies 20 stocks and finds that one-half have an alpha of 2.0%, and one-half have an alpha of –2.0%. The analyst then buys $1.1 million of an equally weighted portfolio of the positive-alpha stocks and sells short $1.1 million of an equally weighted portfolio of the negative-alpha stocks. Required: a. What is the expected profit (in dollars), and what is the standard deviation of the analyst’s profit? (Enter your answers in dollars not in millions. Do not round intermediate calculations. Round your answers to the nearest dollar amount. b-1. How does your answer for standard deviation change if the analyst examines 50 stocks instead of 20?
Which of the following statements is CORRECT? (Assume that the risk-free rate is a constant.) a. The effect of a change in the market risk premium depends on the slope of the yield curve. b. If the market risk premium increases by 1%, then the required return on all stocks will rise by 1%. c. If the market risk premium increases by 1%, then the required return will increase by 1% for a stock that has a beta of 1.0. d. The effect of a change in the market risk premium depends on the level of the risk-free rate. e. If the market risk premium increases by 1%, then the required return will increase for stocks that have a beta greater than 1.0, but it will decrease for stocks that have a beta less than 1.0.
Suppose that the index model for stocks A and B is estimated from excess returns with the following results: RA - 2.60 + 0.90RM + CA Rg- -2.00 + 1.20RM + eg OM- 26, R-equarea 0.21; R-squaren 0.12 Assume you create portfolio Pwith investment proportions of 0.70 in A and 0.30 in B. a. What is the standard deviation of the portfollo? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Standard deviation b. What is the beta of your portfolio? (Do not round your intermediate calculations. Round your answer to 2 decimal places.) Portfolio beta c. What is the firm-specific variance of your portfolio? (Do not round your intermediate calculations. Round your answer to 4 decimal places.) Firm-specific
Assume that the risk-free rate is 7.5% and the market risk premium is 3%. What is the required return for the overall stock market? Round your answer to one decimal place. _________ % What is the required rate of return on a stock with a beta of 1.8? Round your answer to one decimal place. _____________ %
We have the following information on Stocks A and B. The risk-free rate is 5%, and the market risk premium is 7.5%. Assume that the market portfolio is correctly priced. Based on the reward-to-risk ratio, are Stocks A and B overpriced, underpriced, or correctly priced? Stock A Stock B Expected return 1196 16.25% Beta 0.8 1.5
Assume the expected return on the market is 9 percent and the risk-free rate is 4 percent. What is the expected return for a stock with a beta equal to 1.80? (Round answers to 2 decimal places, e.g. 15.25.) What is the market risk premium? (Round answers to 2 decimal places, e.g. 15.25.)
Suppose there are two independent economic factors, M₁ and M₂. The risk-free rate is 6%, and all stocks have independent firm- specific components with a standard deviation of 46%. Portfolios A and B are both well diversified. Portfolio A Beta on M₁ 1.5 2.0 Beta on My 2.1 -0.6 Required: What is the expected return-beta relationship in this economy? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Expected return-beta relationship E(rp) = Expected Return (%) 36 14 45 60 Answer is not complete. Bp1 Bp2
Stock A has expected return of 15% and standard deviation (s.d.) 20%. Stock B has expected return 20% and s.d. 15%. The two stocks have a correlation coefficient of 0.5. 1.Note that Stock A has greater risk (s.d.) that Stock B, but a lower expected return. Explain how is this possible in a world where returns on assets are as predicted by the CAPM. 2. Determine the expected return and the s.d. of portfolio P1, composed by investing 30% in stock A and 70% in stock B. 3. Consider stock C that has expected return 15% and s.d. 15%. Stock C is uncorrelated with either stock A and stock B. Determine the expected return and s.d. of portfolio P2 made by investing 50% in stock C and 50% in portfolio P1.
Using the CAPM, estimate the appropriate required rate of return for the three stocks listed here, given that the risk-free rate is 4 percent and the expected return for the market is 17 percent. STOCK BETA A 0.63 B 0.95 C 1.48 a. Using the CAPM, the required rate of return for stock A is B.Using the CAPM, the required rate of return for stock b is C.Using the CAPM, the required rate of return for stock C is (Round to two decimal places.)
Assume that the risk-free rate is 2.5% and the market risk premium is 8%. What is the required return for the overall stock market? Round your answer to one decimal place. ? % What is the required rate of return on a stock with a beta of 0.5? Round your answer to one decimal place. ? % The above is a two part question, therefore the second answer is determined based off the first answer provided. Please, please, please do provide both answers.
What is the expected rate of return on R. Halsey Inc. stock if it has a correlation coefficient equal to 0.48 with the market portfolio and a standard deviation of 0.25? The risk free rate is 3% and the return on the market is 12%. Assume CAPM holds and the risk free and market combined portfolio has a standard deviation of 14% and an expected return of 8 %
The risk-free rate is 3 percent. Also, the expected return on the market portfolio is 10.5 percent.a. Calculate the expected return of your portfolio. (Hint: The expected return of a portfolio equals the weighted average of the individual stocks" expected returns, where the weights are the percentage invested in each stock.)b. Calculate the portfolio beta.c. Given the preceding information, plot the security market line on paper. Plot the stocks from your portfolio on your graph.d. From your plot in part c, which stocks appear to be your winners, and which ones appear to be your losers?e. Why should you consider your conclusion in part d to be less than certain?

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