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Problem 11-08

Shown below are the investment weights for the securities held in four different portfolios: three mutual funds and the benchmark index that each of those funds uses.

	% Security Investment Weight:
Security	Benchmark Index	Fund X	Fund Y	Fund Z
1		10	%	10	%	39	%	11	%
2		10		8		0		11
3		10		14		10		11
4		10		13		0		9
5		10		14		20		9
6		10		15		0		11
7		10		5		28		11
8		10		8		25		11
9		10		6		0		9
10		10		8		0		9

Calculate the active share (AS) measure for Fund X, Fund Y, and Fund Z relative to the benchmark index. Do not round intermediate calculations. Round your answers to one decimal place.

Fund X: %

Fund Y: %

Fund Z: %

Using active share calculations above, indicate which fund is the most likely to be considered: (i) a passive index fund, (ii) a closet (or enhanced) index fund, and (iii) an actively managed concentrated stock-picking fund. Explain the reason for your classification.

Fund X is considered -Select-an actively managed concentrated stock-picking funda closet (or enhanced) index funda passive index fundItem 4 because, it -Select-differsdoes not differItem 5 in the investment weights of holdings relative to the benchmark index.

Fund Y is considered -Select-an actively managed concentrated stock-picking funda closet (or enhanced) index funda passive index fundItem 6 because, it is -Select-lessmoreItem 7 concentrated than the benchmark and has -Select-fewermoreItem 8 holdings and -Select-biggersmallerItem 9 investment positions.

Fund Z is considered -Select-an actively managed concentrated stock-picking funda closet (or enhanced) index funda passive index fundItem 10 because its security holdings come closer to matching the benchmark, -Select-in number of those holdingsin the investment weights of those holdingsboth in number of holdings and the investment weights of those holdingsItem 11 .