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Investing small amounts at regular intervals while minimizing fees?
It is difficult to find investment banks that offer both low fees and low minimum investments. If you google around for "no-fee low-minimum mutual funds" you can find various articles with recommendations, such as this one.  One fund they mention that looks promising is the Schwab Total Stock Market Index Fund, which apparently has a minimum investment of only $100 and an expense ratio of 0.09%.  (I've never heard of this fund before, so I'm just repeating the info from the site.  Be sure to look into it more thoroughly to see if there are any hidden costs here.  I'm not recommending this fund, just mentioning it as an example of what you may be able to find.) Another possibility is to make use of funds in an existing brokerage account that you use for yourself.  This could allow you to make use of Craig W.'s suggestion about ETFs.  For instance, if you already have a brokerage account at Vanguard or another firm, you could add $100 to the account and buy some particular fund, mentally earmarking it as your daughter's.