A. No. Kiddie tax applies here -
If your child is still a full time student younger than age 24 and doesn't provide more than half of his own support with income from a job, then kiddie tax rule applies - his unearned income (such as dividends, interest, capital gains) over $2,100 will be taxed at the parents' rate. For the first $2,100, he probably could use 0% long term capital gain tax rate.