Back of the napkin, it would take 28 years for $34K to grow to $500K at 10% interest.
Here is my calculation:
In 28 years at one late notice per month they would have 336 late notices.
:-)
From : https://studentaid.gov/understand-aid/types/loans/interest-rates
Direct Subsidized Loans and Direct Unsubsidized Loans Undergraduate
5.50%
Direct Unsubsidized Loans
Graduate or Professional
7.05%
Direct PLUS Loans
Parents and Graduate or Professional Students
8.05%
She would have to have not paid squat like ever. Thats really stupid.