Consider the following table, which gives a security analyst's expectations for return on the market and two well diversified portfolios of cyclical and defensive over the next year, assuming the risk-free rate is 5%: Bust Boom Probability .25 .75 Market Return -4% 20% Cyclical (C) -10% 32% Defensive (D) 2% 14% At least one of the two portfolios is mispriced. Construct an arbitrage strategy with an initial position of $1 (either long or short) in the risk-free asset, to give an arbitrage profit at the end of the year. The arbitrage strategy must not have any position in the market portfolio - you can only hold positions in the risk-free asset, and the cyclical and defensive portfolios. What is the profit per $1 long (or short) the risk-free asset?

Consider the following table, which gives a security analyst's expectations for return on the market and two well diversified portfolios of cyclical and defensive over the next year, assuming the risk-free rate is 5%: Bust Boom Probability .25 .75 Market Return -4% 20% Cyclical (C) -10% 32% Defensive (D) 2% 14% At least one of the two portfolios is mispriced. Construct an arbitrage strategy with an initial position of $1 (either long or short) in the risk-free asset, to give an arbitrage profit at the end of the year. The arbitrage strategy must not have any position in the market portfolio - you can only hold positions in the risk-free asset, and the cyclical and defensive portfolios. What is the profit per $1 long (or short) the risk-free asset?

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

a. Calculate the change in retur Security A's change in return w Data table (Click on the icon here in order to copy its contents of the data table below into a spreadsheet.) Security A BC Print Beta 1.63 0.62 -0.24 ---n Done X iod.
Calculate the required rate of return for an asset that has a beta of 1.01, given a risk-free rate of %3.4 and a market return of %9.1 . b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to %11.6, what is the required rate of return for the same asset? a. The required rate of return for the asset is enter your response here%. (Round to two decimal places.) Part 2 b. If investors have become more risk-averse due to recent geopolitical events, and the market return rises to 11.6%, the required rate of return for the same asset is enter your response here%. (Round to two decimal places.)
Suppose that during the coming year, the risk free rate, rRF, is expected to remain the same, while the market risk premium (rM − rRF), is expected to fall. Given this forecast, which of the following statements is CORRECT? a. The required return on all stocks will remain unchanged. b. The required return will fall for all stocks, but it will fall more for stocks with higher betas. c. The required return for all stocks will fall by the same amount. d. The required return will fall for all stocks, but it will fall less for stocks with higher betas. e. The required return will increase for stocks with a beta less than 1.0 and will decrease for stocks with a beta greater than 1.0.
Suppose that the Treasury bill rate is 6% rather than 3%, as we assumed in Table 12.1, and the expected return on the market is 9%. Use the betas in that table to answer the following questions. a. When you assume this higher risk-free interest rate, what makes sense for how you should modify your assumption about the rate of return on the market portfolio? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) b. Recalculate the expected return on the stocks in Table 12.1. (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.) c. Suppose now that you continued to assume that the expected return on the market remained at 9%. Now what would be the expected returns on each stock? (Do not round intermediate calculations. Enter your answer as a percent rounded to 1 decimal place.)d. Ford offer a higher or lower expected return if the interest rate is 6% rather than 3%? e. Walmart offer a higher or…
d. Consider a well-diversified portfolio made up of stocks with the same beta as Intel. What are the beta and standard deviation of this portfolio’s return? The standard deviation of the market portfolio’s return is 20%. e. What is the expected rate of return on each stock? Use the capital asset pricing model with a market risk premium of 8%. The risk-free rate of interest is 4%.
Suppose there are two independent economic factors, M1 and M2. The risk-free rate is 4%, and all stocks have independent firm-specific components with a standard deviation of 49%. Portfolios A and B are both well diversified. Portfolio Beta on M1 Beta on M2 Expected Return (%) A 1.6 2.4 39 B 2.3 -0.7 9 Required: What is the expected return–beta relationship in this economy?
A portfolio that combines the risk-free asset and the market portfolio has an expected return of 7 percent and a standard deviation of 10 percent.The risk-free rate is 4 percent, and the expected return on the market portfolio is 12 percent. Assume the capital asset pricing model holds. Compute and justify the expected rate of return would a security earn if it had a 0.45 correlation with the market portfolio and a standard deviation of 55 percent.
Your portfolio consists of two stocks. Consider the following table, which gives a security analyst's expected return on two stocks in two particular scenarios for the rate of return on the market: Market Return 6% 22% Aggressive Stock -3% 40% Defensive Stock 8% 11% The probability of the pessimistic (optimistic) scenario is 90% (10%) and the risk-free rate is 3%. What is the equation of SML and should you increase or decrease the weights of these two stocks in your portfolio? Please keep 2 decimals in your answer.
Consider a T-bill with a rate of return of 6% and the following risky securities: Security A: E(r) = 9%; Standard Deviation = 9% Security B: E(r) = 10%; Standard Deviation = 11% security C: E(r)= 16%; Standard Deviation = 20% Security D: E(r) = 18%; Standard Deviation = 26% From which set of portfolios, formed with the T-bill and any one of the four risky securities, woulda risk-averse investor always choose his portfolio? Select one: A. The set of portfolios formed with the T-bill and security D. B.The set of portfolios formed with the T-bill and security A. oC. The set of portfolios formed with the T-bill and security B. D. The set of portfolios formed with the T-bill and security c. E. Cannot be determined.
Assume that you are given the following historical returns for the Market and Security J. Also assume that the expected risk-free rate for the coming year is 4.0 percent, while the expected market risk premium is 15.0 percent. Given this information, determine the required rate of return for Security J for the coming year, using CAPM. Year 1 2 O21.20% 3 4 5 6 O22.34% O 23.49% O24.63% O24.10% Market 10.00% 12.00% 16.00% 14.00% 12.00% 10.00% Security J 12.00% 14.00% 18.00% 22.00% 18.00% 14.00%
Consider the following multifactor (APT) model of security returns for a particular stock. Factor Factor Beta Factor Risk Premium Inflation 1.1 9% Industrial production 0.7 11 Oil prices 0.3 7 Required: If T - bills currently offer a 6% yield, find the expected rate of return on this stock if the market views the stock as fairly priced. Suppose that the market expects the values for the three macro factors given in column 1 below, but that the actual values turn out as given in column 2. Calculate the revised expectations for the rate of return on the stock once the "surprises" become known. Factor Expected Value Actual Value Inflation 7 % 3% Industrial production 6 7 Oil prices 4 0 Note: For all requirements, do not round intermediate calculations. Round your answers to 1 decimal place.
In this problem we assume that the annual expected rate of return of the market portfolio is 22% and the annual risk-free rate is 2%. The standard deviation of the market portfolio returns is 22%. Assume the market is in equilibrium such that the Capital Asset Pricing Model (CAPM) holds: the market portfolio is efficient. If you have $1,000 to invest, how should you allocate it to achieve an annual expected return of 26%? Invest $260 in the risk-free asset and $740 in the market portfolio Invest $800 in the risk-free asset and $200 in the market portfolio Invest $1,200 in the risk-free asset and sell short $200 in the market portfolio Borrow $260 at the risk-free rate and invest $1,260 in the market portfolio Invest $200 in the risk-free asset and $800 in the market portfolio Borrow $200 at the risk-free rate and invest $1,200 in the market portfolio

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