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Buy index mutual fund or build my own?
You better buy an ETF that does the same, because it would be much cheaper than mutual fund (and probably much cheaper than doing it yourself and rebalancing to keep up with the index).  Look at DIA for example. Neither buying the same amount of stocks nor buying for the same amount of money would be tracking the DJIE. The proportions are based on the market valuation of each of the companies in the index.