The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Beta 0.75 R-square 0.65 Now suppose that the manager misestimates the beta of Waterworks stock, believing it to be 0.50 instead of 0.75. The standard deviation of the monthly market rate of return is 5%. Standard Deviation of Residuals 0.06 (1.e., 6% monthly) Required: a. If he holds a $6 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S&P 500 futures contracts, what is the standard deviation of the (now improperly) hedged portfolio? The S&P 500 currently is at 3,000 and the contract multiplier is $50. (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.) Standard deviation Probability of a negative return 0.00 % b. What is the probability of incurring a loss over the next month if the monthly market return has an expected value of 1% and a standard deviation of 5% ? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.) 0.00%

The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Beta 0.75 R-square 0.65 Now suppose that the manager misestimates the beta of Waterworks stock, believing it to be 0.50 instead of 0.75. The standard deviation of the monthly market rate of return is 5%. Standard Deviation of Residuals 0.06 (1.e., 6% monthly) Required: a. If he holds a $6 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S&P 500 futures contracts, what is the standard deviation of the (now improperly) hedged portfolio? The S&P 500 currently is at 3,000 and the contract multiplier is $50. (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.) Standard deviation Probability of a negative return 0.00 % b. What is the probability of incurring a loss over the next month if the monthly market return has an expected value of 1% and a standard deviation of 5% ? (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.) 0.00%

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

The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2,1% over the coming month. Beta 1.4 Standard Deviation R- of Residuals square 0.65 0.1 (i.e., 10% monthly) Now suppose that the manager misestimates the beta of Waterworks stock, believing it to be 0.5 instead of 1.4. The standard deviation of the monthly market rate of return is 9%. If he holds a $5,000,000 portfolio of Waterworks stock. The S&P 500 currently is at 2,000 and the contract multiplier is $50. a. What is the standard deviation of the (now improperly) hedged portfolio? (Round your answer to 3 decimal places.) Standard deviation % b. What is the probability of incurring a loss on improperly hedged portfolio over the next month if the monthly market return has an expected value of 1% and a standard deviation of 9%? The manager holds a $5 million portfolio of Waterworks…
The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2.1% over the coming month. Beta 1.1 R-square 0.65 a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your answer to 1 decimal place.) Residual standard deviation Standard Deviation of Residuals 0.13 (1.e., 13% monthly) Probability of a loss b. Calculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100 stocks over the next month. Assume the risk-free rate is 0.3% per month. (Do not round intermediate calculations. Enter your answer as percent rounded to 5 decimal places.) % %
The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Beta 0.60 R-square 0.65 Standard Deviation of Residuals 0.07 (1.e., 78 monthly) Required: a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns (the e terms in Equations 201 and 20.2) on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your percentage answer to 2 decimal places.) Residual standard deviation b. Recalculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100 stocks over the next month. Assume the risk-free rate is 0.9% per month. (Do not round intermediate calculations. Round your percentage answer…
The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Beta 0.75 R-square 0.65 Required: a-1. If he holds a $8.0 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S&P 500 futures contracts, how many contracts should he enter? The S&P 500 currently is at 2,000 and the contract multiplier is $50. Number of contracts Standard Deviation of Residuals 0.07 (1.e., 7% monthly) a-2. Should he buy or sell contracts? O Buy Sell Probability b. Assuming that monthly returns are approximately normally distributed, what is the probability that this market-neutral strategy will lose money over the next month? Assume the risk-free rate is 0.7% per month. (Do not round intermediate calculations. Round your percentage answer to 2 decimal places.) %
The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 Index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 1% over the coming month. Beta R-square Standard Deviationof Residuals 0.75 0.65 0.05 (i.e., 5% monthly) Required: a-1. If he holds a $12.0 million portfolio of Waterworks stock and wishes to hedge market exposure for the next month using one-month maturity S&P 500 futures contracts, how many contracts should he enter? The S&P 500 currently is at 2,000 and the contract multiplier is $50. a-2. Should he buy or sell contracts?multiple choice Sell Correct Buy b. Assuming that monthly returns are approximately normally distributed, what is the probability that this market-neutral strategy will lose money over the next month? Assume the risk-free rate is 0.8% per month. (Do not round intermediate calculations. Round your percentage answer to 2…
The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Beta 0.75 R-square 0.65 Standard Deviation of Residuals 0.06 (1.e., 68 monthly) a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your answer to 1 decimal place.) Answer is complete and correct. 0.6 % Residual standard deviation b. Calculate the probability of a loss on a market-neutral strategy involving equally weighted, market-hedged positions in the 100 stocks over the next month. Assume the risk-free rate is 0.5% per month. (Do not round intermediate calculations. Enter your answer as percent rounded to 5 decimal…
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?
The following is part of the computer output from a regression of monthly returns on Waterworks stock against the S&P 500 index. A hedge fund manager believes that Waterworks is underpriced, with an alpha of 2% over the coming month. Beta 1.65 R-square 0.65 standard Deviation of Residuals .15 (i.e., 15% monthly ) a. Suppose you hold an equally weighted portfolio of 100 stocks with the same alpha, beta, and residual standard deviation as Waterworks. Assume the residual returns on each of these stocks are independent of each other. What is the residual standard deviation of the portfolio? (Round your answer to 1 decimal place.) b. Calculate the probability of a loss on a market - neutral strategy involving equally weighted, market - hedged positions in the 100 stocks over the next month. Assume the risk - free rate is 0.6% per month. ( Do not round intermediate calculations. Enter your answer as percent rounded to 5 decimal places.)
Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 2.36. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format. For example, if you answer is 3.33%, enter "0.0333"
Assume that you run a regression on the raw returns of the stock of Company J against the raw returns of the market and find an intercept of 1.324 percent and a beta of 1.75. If the risk-free rate is 2.64 percent, and using the concept of Jensen's Alpha, then determine by how much this stock beat the market. Answer in decimal format, to 4 decimal places. For example, if you answer is 3.33%, enter "0.0333".
You want to estimate the monthly alpha and beta of AXON stock, using the index model. Suppose AXON has a beta of 0.95 and a monthly alpha of 0.5 (representing half a percent). If you set up the regression model correctly, the index model equation should be (remember in index model formulas, we use R instead of r to denote excess returns): Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. b с d Rmarket = Rmarket = 0.5 x Rstock +0.95 Raxon 0.95 x Rstock +0.5 = 0.5 x Rmarket +0.95 Raxon = 0.95 x Rmarket +0.5
Karen Kay, a portfolio manager at Collins Asset Management, is using thecapital asset pricing model (CAPM) for making recommendations to her clients.Her research department has developed the information shown in the followingexhibit.Forecast Returns, Standard Deviations, and BetasForecast Return Standard Deviation BetaLow β stock (X) 14.0% 36% 0.8High β stock (Y) 17.0% 25% 1.5Market index 14.0% 15% 1.0Risk-free rate 5.0%(a) Calculate expected return and alpha for each stock.(b) Identify and justify which stock would be more appropriate for an investorwho wants to add this stock to a well-diversified equity portfolio.(c) Now consider Karen employs the “Betting Against Beta” strategy and let, , and denote the portfolio weights of the investmentin each of the asset classes (e.g. risk-free asset, low beta stock, market index,high beta stock, respectively) such that .According to its investment mandate, Collins Asset Management shouldtarget a gross leverage of 2.3. How much does she have to…

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