You will buy a car today. You will borrow the full price of the car. You will get a seven year loan that will be paid back annually. It will take you the full seven years to pay back the loan. (In other words, you will not pay it off early.) You will pay back the same amount every year (an annuity). The auto dealership offers you 3 choices.

1) Pay $30,000 for the car at 0% interest for the seven years, paid annually.

2) Pay $27,000 for the car at 2% interest for the seven years, paid annually.

3) Pay $25,000 for the car at 5% interest for the seven years, paid annually.

Which do you pick?

Please show work.