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An investor is evaluating the performance of two actively managed mutual funds, A and B. The annual risk-free rate of return over the period was

An investor is evaluating the performance of two actively managed mutual funds, A and B. The annual risk-free rate of return over the period was 4%, and the average annual return of the market portfolio was 12%. The standard deviation of the market portfolio returns was 20%. The table below reports the statistics and the regression estimation results of the single-index model for annual excess returns of the two funds.

Fund A Fund B
Average annual excess return 10.6% 8.4%
Standard deviation of annual excess returns 31% 20%
Single-index model estimates 1% + 1.2 (RM-rf) 2% + 0.8 (RM-rf)
Standard deviation of the model residuals 22% 9%

Required Calculate the T-square measure for each fund.

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