Splitting of stocks within a mutual fund?

Is there an impact of a stock splitting within the mutual fund that I own? Also, is there ever a good reason why a mutual fund would split... considering that fractional shares can be purchased so the actual cost per share doesn't seem to matter?

There is no impact of a stock splitting in your mutual fund. I don't recall a fund splitting, but it would have absolutely no impact since they sell at NAV (net asset value) and are not subject supply/demand like stocks.

If there is a stock splitting in your mutual fund, you will notice nothing because your investment amount hasn't changed because of the split.

For example

A fund owns 10,000 shares of XYZ at $50 per share, total value of $500,000, and the stock splits 2 for 1.

After the split the fund owns 20,000 shares of XYZ at $25 per share, total value of $500,000.

The total value of XYZ in the fund has not changed, therefore your net asset value (NAV) has not changed.
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There is no impact. There is also no impact when a stock splits, other than the reporting of the split; any underlying value the company might have has not changed AT ALL!

Think about it, would you rather have a $20 bill or four $5 bills?

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