How old do you have to be to open a savings account? You can have a savings account at any age. At Alliant, children under 13 years old can have a kids savings account with a parent or legal guardian as a joint owner. Teens 13-17 years old can have a regular Alliant High-Rate Savings account but must have a parent or legal guardian as a joint owner until they’re 18 years old. Before opening a kids savings account, look at the terms and fees for both the kids and regular savings accounts.