i'll try to explain this simply:
Before, teams were hoarding up money as much as possible. if they didn't need to buy, they wouldn't buy players and save money. This has created an unhealthy enviroment where some teams had over 25M on there bank accounts. They would then be able to buy 5 superbe players (along with what they had) put them in there team and just steamroll the competition. To counter that, the BB's implemented a tax that will tax you for 10% on anything that is above the 25M in your bank account.
Since this was announced, teams didn't randomly wanted to just lose money, so they invested whatever cash they had above the 25M into the premium players. That caused the premium players prices to go up. as a result, people went after the second best options, those prices went up aswell. This effect was then noticable for the entire market, which has resulted in prices going up. The prices will probably settle down in the futur once everyone has stored away whatever cash over 25M that they had. So in the longrun, prices should go down a bitt more, but it won't reach the same lvl as before.
In the past, you'd train players hard and not get a lot of cash for it. Now, if you train them well, you get a nice reward for them that can be invested in stadium, staff or buying other players (upgrading your team).
Do BB's support hyperinflation? Not at all. They want to achieve the best competitive scenario possible. But to achieve that, some rules have to be implemented and each time there is a change to the economical situation, it will have an effect on the prices of the Transfer Market.
As you should have seen, the prices for winning your division have gone up. This was done in an attempt to help the teams who were going up to get some more funds, to buy those players they couldn't afford before & to increase there options of being competitive on that next lvl.
Hope this solves your mystery of inflation :P