Want to open a brokerage account for your bundle of joy (or precocious toddler, or sullen preteen)? The good news is, you can. The even better news is, you'll have a few more choices on what type of account you're going to open for your child than you would if you were opening one for yourself.
If your child has no earned income, then put that kid to work! Just kidding. If your child doesn't get a paycheck, then you can choose between two types of accounts where there are no maximum contribution limits. The first is a guardian account, in which you own the money. It's yours. You can withdraw it for any reason you want, and you are the one who is liable for the taxes on the earnings. You've got total control, and the price for this is that you pay taxes at your own tax rate. Practically speaking, then, this type of account is basically a way for you to informally earmark funds for your child in an account in your name.
The other type of account is a custodial account, where you don't own the money -- your child does. As long as your child is a child, you still control the account, but any withdrawals (or dividends, for that matter) are taxed at your child's rate. This is, of course, generally lower than your own. In other words, you've given up some long-term control (as well as ownership), but it's usually a better deal from a tax standpoint. There are two kinds of custodial accounts: the Uniform Gift to Minors Act (UGMA) and the Uniform Transfers to Minors Act (UTMA).
IRA accounts are another alternative for some kids. In order to have a regular IRA or a Roth IRA, the owner of the account must have earned income. That means that you cannot open one of these for your child until she is actually earning income. If your little kaboodle has begun child modeling at the age of four, or if you've decided to submit her for some friendly (and lucrative) medical experiments (shame on you!), then she qualifies. She can have an IRA for her earned income, up to annual limits of $4,000 per year in 2007 and $5,000 per year thereafter.
The Education IRA is in a category all its own. Your child could have a traditional IRA or a Roth IRA, but you can only invest a total of $4,000 or $5,000 yearly into one of those. The $2,000 annual maximum that you can invest in an Education IRA is in addition to that traditional or Roth IRA contribution.