Homework Help is Here – Start Your Trial Now!
Business
Finance
An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor's 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Annual Average Standard Deviation Rate of Return of Return Beta Portfolio X 11% 18% 0.40 S&P 500 13 14 1.00 T-bills 6 n/a n/a n/a = not applicable a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X % S&P 500 % Briefly explain whether Portfolio X underperformed, equaled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. Based on the Treynor measure Portfolio X-Select- v the market index because Treynor measure for Portfolio X is -Select- v than Treynor measure for the S&P 500. Based on the Sharpe measure Portfolio X -Select- v the market index because Sharpe measure for Portfolio X is -Select- v than Sharpe measure for the S&P 500. b. Based on the performance of Portfolio X relative to the S&P 500 calculated in Part a, briefly explain the reason for the conflicting results when using the Treynor measure

An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor's 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Annual Average Standard Deviation Rate of Return of Return Beta Portfolio X 11% 18% 0.40 S&P 500 13 14 1.00 T-bills 6 n/a n/a n/a = not applicable a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X % S&P 500 % Briefly explain whether Portfolio X underperformed, equaled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. Based on the Treynor measure Portfolio X-Select- v the market index because Treynor measure for Portfolio X is -Select- v than Treynor measure for the S&P 500. Based on the Sharpe measure Portfolio X -Select- v the market index because Sharpe measure for Portfolio X is -Select- v than Sharpe measure for the S&P 500. b. Based on the performance of Portfolio X relative to the S&P 500 calculated in Part a, briefly explain the reason for the conflicting results when using the Treynor measure

Essentials Of Investments
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
icon
Related questions
Question
An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor's 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Annual Average Standard Deviation Rate of Return of Return Beta Portfolio X 11% 18% 0.40 S&P 500 13 14 1.00 T-bills 6 n/a n/a n/a = not applicable a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X S&P 500 % Briefly explain whether Portfolio X underperformed, equaled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. Based on the Treynor measure Portfolio X-Select- v V | the market index because Treynor measure for Portfolio X is Select- | than Treynor measure for the S&P 500. Based on the Sharpe measure Portfolio X -Select- v the market index because Sharpe measure for Portfolio X is -Select- V than Sharpe measure for the S&P 500. b. Based on the performance of Portfolio X relative to the S&P 500 calculated in Part a, briefly explain the reason for the conflicting results when using the Treynor measure versus the Sharpe measure. As Treynor measure considers -Select- Vrisk while Sharpe measures considers -Select- v risk so a -Select- v diversified portfolio could show better performance relative to the market if the Treynor measure is used but lower performance relative to the market if the Sharpe measure is used. As a result, Portfolio X has a large amount of -Select- v risk.
Transcribed Image Text:An analyst wants to evaluate Portfolio X, consisting entirely of U.S. common stocks, using both the Treynor and Sharpe measures of portfolio performance. The following table provides the average annual rate of return for Portfolio X, the market portfolio (as measured by the Standard and Poor's 500 Index), and U.S. Treasury bills (T-bills) during the past eight years. Annual Average Standard Deviation Rate of Return of Return Beta Portfolio X 11% 18% 0.40 S&P 500 13 14 1.00 T-bills 6 n/a n/a n/a = not applicable a. Calculate both the Treynor measure and the Sharpe measure for both Portfolio X and the S&P 500. Round your answers for the Treynor measure to one decimal place and for the Sharpe measure to three decimal places. Treynor measure Sharpe measure Portfolio X S&P 500 % Briefly explain whether Portfolio X underperformed, equaled, or outperformed the S&P 500 on a risk-adjusted basis using both the Treynor measure and the Sharpe measure. Based on the Treynor measure Portfolio X-Select- v V | the market index because Treynor measure for Portfolio X is Select- | than Treynor measure for the S&P 500. Based on the Sharpe measure Portfolio X -Select- v the market index because Sharpe measure for Portfolio X is -Select- V than Sharpe measure for the S&P 500. b. Based on the performance of Portfolio X relative to the S&P 500 calculated in Part a, briefly explain the reason for the conflicting results when using the Treynor measure versus the Sharpe measure. As Treynor measure considers -Select- Vrisk while Sharpe measures considers -Select- v risk so a -Select- v diversified portfolio could show better performance relative to the market if the Treynor measure is used but lower performance relative to the market if the Sharpe measure is used. As a result, Portfolio X has a large amount of -Select- v risk.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Investment in Stocks
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, finance and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Essentials Of Investments
Essentials Of Investments
Finance
ISBN:
9781260013924
Author:
Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:
Mcgraw-hill Education,
FUNDAMENTALS OF CORPORATE FINANCE
FUNDAMENTALS OF CORPORATE FINANCE
Finance
ISBN:
9781260013962
Author:
BREALEY
Publisher:
RENT MCG
Financial Management: Theory & Practice
Financial Management: Theory & Practice
Finance
ISBN:
9781337909730
Author:
Brigham
Publisher:
Cengage
Foundations Of Finance
Foundations Of Finance
Finance
ISBN:
9780134897264
Author:
KEOWN, Arthur J., Martin, John D., PETTY, J. William
Publisher:
Pearson,
Fundamentals of Financial Management (MindTap Cou…
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…
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