125 ccm motor bike login

Hello I will do the practical exam for class a1 in the next week and would like to drive a honda cbr 125 or a yamaha later. now my question is: what does it cost to register the motorcycle one or half a year? I have heard that the insurance for a 125 machine should be very expensive if it is throttled to 80 kmh. I will now drive a simson s50 b2 but in summer I want to buy a 125 machine. but if all this is so expensive I can yes I hope someone can continue to help. mfg. leonhard