Phi Phi O'Hara is considering taking a loan out to fix that wonky eyelash. They need $100,000. Their options are to:

A.) Take out $100,000, 30-year fixed loan, with an interest rate of 5.5%. Equal payments are due annually (so that the entire interest and principal are paid off in 30 years).

B.) Take out $100,000, 15-year fixed loan, with an interest rate of 4.75%. Equal payments are due annually (so that the entire interest and principal are paid off in 15 years).

Phi Phi makes just enough money annually to cover the 15-year fixed loan payments. Any money not spent on paying loan payments over this 30 year period would be invested in mutual funds at 4.5% interest rate.

In present value terms, how much better (negative if worse) off would Phi Phi be if they took out the 15-year loan rather than the 30-year loan?