James Chan is reviewing the performance of the global equity managers of the Jarvis University endowment fund. Williamson Capital is currently the endowment fund’s only large- capitalization global equity manager. Performance data for Williamson Capital are shown in Table A.

Chan also presents the endowment fund’s investment committee with performance information for Joyner Asset Management, which is another large-capitalization global equity manager. Performance data for Joyner Asset Management are shown in Table B. Performance data for the relevant risk-free asset and market index are shown in Table C.

a. Calculate the Sharpe ratio and Treynor measure for both Williamson Capital and Joyner Asset Management.

b. The Investment Committee notices that using the Sharpe ratio versus the Treynor measure produces different performance rankings of Williamson and Joyner. Explain why these criteria may result in differentrankings.

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Table A Table B 1 Average annual rate of return Average annual rate of return Beta Standard deviation of returns 22.1% 1.2 Beta 16.8% | | Standard deviation of returns 24.2% 0.8 20.2% Table C Risk-Free Asset Average annual rate of return Market Index Average annual rate of return Standard deviation of returns 5.0% 18.9% 13.8%