Difficulties in adjusting average returns for risk present a host of issues, as the proper measure of risk may not be obvious, and risk levels may change along with portfolio composition. The following data is given for a particular sample period: Portfolio P               Market M           Average return                                      35 %                      28 %           Beta                                                     1.2                         1.0           Standard deviation                                42 %                      30 % Calculate the following performance measures for portfolio P and the market: Sharpe, Jensen (alpha) and Treynor. The Treasury bill rate during the period was 6 %. By which measures did portfolio P outperform the market? What do these measures mean or imply? Explain.

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
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Difficulties in adjusting average returns for risk present a host of issues, as the proper measure of risk may not be obvious, and risk levels may change along with portfolio composition.

  • The following data is given for a particular sample period:

Portfolio P               Market M

          Average return                                      35 %                      28 %

          Beta                                                     1.2                         1.0

          Standard deviation                                42 %                      30 %

Calculate the following performance measures for portfolio P and the market: Sharpe, Jensen (alpha) and Treynor. The Treasury bill rate during the period was 6 %. By which measures did portfolio P outperform the market? What do these measures mean or imply? Explain.                                   

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