I called the driving licence center.

“Hello, I’d like to get a Japanese licence based on my Hungarian one. I have all the paperwork and translations. What are the fees?”
“2200 yen for the exam, and 1500 (or something along those lines) for car use.” (I don’t have a car, by the way.)
“I’ve been told that I don’t have to take an exam. Hungary is in the Geneva convention.”
“What country are you from?”
“Hungary.” (Duh I just said it like 2 times already.)
“Right, then you don’t have to take the exam.”
“So how much will it cost?”
“2200 yen for the exam, 1500 for car use and further 2200 if you passed the exam.” (You what mate?)