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Active versus Passive Management of International Mutual Funds ...

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26<br />

Sharpe ratio for the passively managed S&P/ASX Index and the actively managed Equity Asia<br />

Pacific Investment Category.<br />

H6 a : For the 1995 to 2008 periods, there is a significant difference between the mean<br />

Sharpe ratio for the passively managed S&P/ASX Index and the actively managed Equity Asia<br />

Pacific Investment Category.<br />

Weekly Sharpe ratios were calculated from daily data for the S&P/ASX Index and<br />

Morningstar Equity Asia Pacific Investment Category for the period January 1, 1995-December<br />

31, 2008 with 731 data points. Appendix C presents a side-by-side comparison <strong>of</strong> the indices’<br />

weekly Sharpe ratios.<br />

Table 8 below shows the F-test two-sample for variances result. The 3.118 F-value for<br />

the Morningstar Equity Asia Pacific Investment Category is more than the 1.130 F-critical onetail<br />

value. The indication is a rejection <strong>of</strong> the null hypothesis due to the large F-value. The<br />

5.68521E-51 p-value is less than the assumed .05 level <strong>of</strong> significance (alpha); an indication the<br />

null hypothesis is rejected.<br />

Table 8: F-Test Two Sample for Variances <strong>of</strong> Sharpe Ratios for Morningstar Equity Asia Pacific<br />

Investment Category <strong>versus</strong> S&P/ASX Index<br />

Equity Asia Pacific Investment<br />

Variables<br />

Category<br />

S&P/ASX<br />

Mean 0.062940803 0.10391187<br />

Variance 1.007490036 0.323131947<br />

Observations 731 731<br />

Df 730 730<br />

F 3.117890527 1.13<br />

P(F

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