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20<br />

Global Investment Sector. The data contained surviving funds during the period studied. The<br />

categories were matched to the following passive index benchmarks. The Equity Europe<br />

category was first compared to the DAX, a German stock index for 30 selected blue chip stocks.<br />

The equities use free float shares in the index calculation. The second passive index compared to<br />

the Equity Europe category was the FTSE 100, a capitalization-weighted index <strong>of</strong> the 100 most<br />

highly capitalized companies traded on the London Stock Exchange. The third index used in the<br />

comparison was the Dow Jones EURO STOXX 50 Index, a free-float market capitalizationweighted<br />

index <strong>of</strong> 50 European blue-chip stocks from those countries participating in the EMU<br />

[14].<br />

The three indices from the Pacific Region matched to the Equity Asia Pacific active<br />

mutual fund category were the Nikkei-225 Stock Average, a price-weighted average <strong>of</strong> 225 toprated<br />

Japanese companies listed in the first section <strong>of</strong> the Tokyo Stock Exchange. The second<br />

index was the Hang Seng Index, a free-float capitalization-weighted index <strong>of</strong> select companies<br />

from the Hong Kong Stock Exchange. The final Pacific Region index used was the S&P/ASX<br />

200 which measures the performance <strong>of</strong> the 200 largest index-eligible stocks listed on the ASX<br />

by float-adjusted market capitalization [14].<br />

Table 1 depicts the paired index relationships referenced above. The active index on the<br />

left-hand side <strong>of</strong> the table maps to the passive index on the right-hand side <strong>of</strong> the table.<br />

Table 1. Paired Index Relationships<br />

<strong>Active</strong> Index Benchmark Index<br />

1. Equity Europe Dow Jones EURO STOXX 50 Index<br />

2. Equity Europe FTSE 100<br />

3. Equity Europe DAX<br />

4. Equity Asia Pacific Nikkei 225<br />

5. Equity Asia Pacific Hang Seng<br />

6. Equity Asia Pacific S&P/ASX<br />

Data collection methods<br />

Secondary data will be collected and analyzed from the Morningstar Direct database.<br />

Daily data points will be extracted and used for each set <strong>of</strong> paired index comparisons. The daily<br />

data points <strong>of</strong> paired indices were exported into the Micros<strong>of</strong>t Excel computer program<br />

spreadsheet. The means, variances, and related risk-adjusted measures <strong>of</strong> each <strong>of</strong> the paired<br />

indices were calculated, compared, and analyzed.<br />

Research model and variables<br />

Figure 1 shown in Appendix A presents the research model identified in Miller [64]. It<br />

details the relationships among the variables and presents a general flow <strong>of</strong> the study’s logic and<br />

potential outcomes. The independent variable was management style, passive <strong>versus</strong> active while<br />

investment performance was the dependent variable.<br />

Risk-adjusted returns were measured using the Sharpe composite performance measure, a<br />

measure combining risk and return into a single value. The Sharpe ratio was used to compare the<br />

passive and active fund performance [64]. The Sharpe ratio, also known as the reward-tovariability<br />

ratio, was derived from the earlier work <strong>of</strong> Markowitz’s mean-variance model. The<br />

Sharpe measure <strong>of</strong> portfolio performance, S, is stated as:<br />

S = (R i –R FR ) / б i (4)<br />

Where:<br />

R i = the average portfolio return during a specified time period.<br />

R FR = the average return <strong>of</strong> a risk-free investment during the same time.

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