I believe mine does too actually. And i believe its a sacrafice you have to deal with if you love him. I dont worry too much about his seeing my transactions rather i worry he's dependent on verifacation of everything and when my inner rebel kicks in and i leave mysteries or contradicting, illogical ideas to throw him off or just mess with his pre concieved views it does rattle things a bit. But it just shows he's either insecure, a control freak, distrusting and accusatory. So more stress and work on his hands than mine. Either way hell eventually learn its unhealthy and unnecessary so i ignore it and sometimes spite him in subtle ways.
My boyfriend is the same way but I don't really care. He got my passwords from different things where he was looking at something and I didn't feel like typing it in, I have nothing to hide so I don't care. I have had no need for his passwords, I trust him 100% so I never ask since there is no need.