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The shares of stock that a mutual fund purchases on your behalf are held in a trust, so you'd still have your stock. Unless, of course, your mutual fund was largely invested in shares of the mutual fund company that failed. An index fund tracks a stock exchange index, e.g. S&P 500, the NYSE, Nasdaq, Nikkei, or other index. The shares are mathematically weighted to represent the index as a whole. For example, let's say the NYSE has a total value of $100, and the total market capitalization (# of shares outstanding x share price) of Microsoft is $2. This, of course, would equal 2% of the total of the NYSE. Your index fund would put 2% of its assets into Microsoft to reflect this. The holdings are re-weighted at regular intervals to track the overall index as closely as possible.
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