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22<br />

ratio for the passively managed Hang Seng Index and the actively managed Equity Asia Pacific<br />

Investment Category.<br />

H6 0 : For the 1995 to 2008 periods, there is no significant difference between the mean Sharpe<br />

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

Investment Category.<br />

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

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

Investment Category.<br />

Table 2. Hypothesis-Methodology<br />

Hypothesis Test<br />

Methodology<br />

H1 0 Equity Europe <strong>versus</strong> Dow Jones EURO STOXX F-test two sample for<br />

50<br />

variance<br />

H2 0 Equity Europe <strong>versus</strong> FTSE 100 F-test two sample for<br />

variance<br />

H3 0 Equity Europe <strong>versus</strong> DAX F-test two sample for<br />

variance<br />

H4 0 Equity Asia Pacific <strong>versus</strong> Nikkei 225 F-test two sample for<br />

variance<br />

H5 0 Equity Asia Pacific <strong>versus</strong> Hang Seng F-test two sample for<br />

variance<br />

H6 0 Equity Asia Pacific <strong>versus</strong> S&P/ASX F-test two sample for<br />

variance<br />

Data analysis methods<br />

Data analysis was conducted using statistical analyses and hypothesis testing. The F-test<br />

Two Sample for Variances was used to test for significant differences between the population<br />

means <strong>of</strong> passive indices and active investment categories as identified in Table 2 [64].<br />

ANALYSIS AND PRESENTATION OF FINDINGS<br />

The following details the results and findings <strong>of</strong> the study’s hypotheses tests based on the<br />

data extracted from the Morningstar Direct Database and thereby addresses the study’s research<br />

question. The findings <strong>of</strong> the research are presented in the order in which the hypotheses have<br />

been stated. The research question for the study was: During the 1995-2008 time periods which<br />

management style, active or passive, produced the best international mutual fund performance on<br />

a risk adjusted basis<br />

Equity Europe Morningstar investment category<br />

Hypothesis 1<br />

H1 0 : For the 1995 to 2008 periods, there is no significant difference between the mean<br />

Sharpe ratio for the passively managed Dow Jones EURO STOXX 50 Index and the actively<br />

managed Equity Europe Investment Category.<br />

H1 a : For the 1995 to 2008 periods, there is a significant difference between the mean<br />

Sharpe ratio for the passively managed Dow Jones EURO STOXX 50 Index and the actively<br />

managed Equity Europe Investment Category.<br />

Weekly Sharpe ratios were calculated from daily data for the Dow Jones EURO STOXX<br />

50 Index and Morningstar Equity Europe Investment Category for the period January 1, 1995-<br />

December 31, 2008 with 731 periods. Appendix B presents a side-by-side comparison <strong>of</strong> the

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