Final answer:
You cannot open a Roth IRA for your three-year-old daughter as she must have earned income. Investing for her future can be done through other types of accounts until she can earn income to qualify for a Roth IRA.
Step-by-step explanation:
To open a Roth IRA in your daughter's name, she must have earned income from a job or a business, as this is a requirement for contributing to a Roth IRA. Since your daughter is three years old, she is unlikely to have earned income, and thus you cannot contribute to a Roth IRA on her behalf legally. However, understanding the value of early saving and investing is crucial, and there are other ways to benefit your child's future financial stability.
For example, you could put money into a custodial account that transitions to her control when she reaches adulthood. Alternatively, you could save and invest in your own retirement accounts with the intention of helping her in the future. Once your daughter has income from work, you could then open a Roth IRA in her name to take advantage of compound interest over time.
The earlier savings and investing begin, the more one can reap the benefits from compound interest, as indicated by the compound interest formula provided.