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Owning multiple funds with close correlations is mostly wasted effort and
potentially self-deception. Owning multiple funds with a significant correlation
spread can be helpful in reducing overall portfolio volatility.
Here is a table with the 6-month correlation of daily returns of selected
iShares ETFs with at least 6 months of history (as of April 21, 2009), as rendered
by the iShares website.
It reveals how the various funds have behaved during the past two quarters
which saw so much portfolio value destruction. Longer periods of time for correlation
should generally be considered, but it is interesting to see how funds behaved
during these violently turbulent times.

Here is a shorter list of iShares ETFs showing their 3-year correlation:

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