It's not as easy as you folks make it sound.
Applying the AP is actually the easiest part of the entire process. Contrary to popular belief, an AP is not an exemption from being taxed to bringing your car back. Since you did not state the name of your car, can't quite answer the taxation question.
Basically, to apply for an AP, you need to have documents that state you own the car for 9 months, together with Insurance for this duration.
You can easily check the MITI website to see what are the required documents, amongst which is
1) If you are a student a letter from your university stating the end of your education
2) A copy of your flight ticket to show you are returning.
Taxation is a pain in the arse to count yourself, but it is quite possible. However an easier way would be to call customs up and ask them for their price quotation. The final price is usually negotiable with discounts up to 30%. The Year of Manufacture of your car will play the biggest role in taxation. Any car up to 6 years old receives a 70% devaluation (or something along those lines).
To put it simply: If you are thinking about bringing in a brand new car, forget about it, the taxes are going to kill you! Maybe it might be cheaper than buying it locally, you'll have to do the calculations, but I doubt it will be significant enough.
Good Luck.