If you stay longer than 30 days, you pay a fine.
As posted by Bob K on Trip Advisor:
1. Re: 2015 departure tax over 30 days
Feb 06, 2015, 6:00 AM
Here is the rates for staying beyond 30 days:
De 1 dia a 3 meses RD$2,500.00
De 3 a 9 meses RD$4,000.00
De 9 a 12 meses RD$5,000.00
De 12 a 18 meses RD$6,500.00
De 18 a 24 meses RD$8,000.00
De 24 a 30 meses RD$9,500.00
De 30 a 36 meses RD$11,000.00
This will need to be paid in pesos.