<human>: Can you succinctly summarize the text in 1-3 sentences?

I have an unofficial job offer from a very well-known corporation. I've been in talks concerning salary with the recruiter. He has been trying to get me to reveal my current salary, but I have been adamant about not giving it to him for obvious reasons. He would only tell me how the bonus was calculated and he gave me solid figures concerning stocks.  

Finally, he gave up and told me that the midpoint of the amount budgeted for this position, but not the lowest and the highest in the range.  When he told me this, I was just fucking blown away; it far exceeded my expectations.

He asked me what I thought. Containing my excitement, I replied that this was definitely a figure we could start with.  He pressed further, asking if this was higher or lower than what I made. And again, I refused to reveal. He asked why, and I told him politely why. He said that he would talk to the hiring manager and get back to me.

I have two major things on my mind right now

1. I am very skeptical of the midpoint of the range he quoted me. How large can this range possibly be? I've researched this position on glassdoor.com, payscale.com, etc. And there were no figures from this particular corporation. This position is similar to the one I am in now, also a very large well-known company, though the responsibilities and the focuses of both companies are different.  And the salaries of colleagues I've spoken with are not in that range. Could this be some sort of tactic by the recruiter to lowball me?

2. Another part of me feels that the recruiter made a mistake. He originally contacted me for a managerial position. But during the phone screen, the hiring manager said I was more suited for a position that's a notch below. I think the salary is more in line with the managerial one.  But what do I know.

I am eagerly waiting for official word in the form of a written job offer, and then I will believe it. But in the mean time, I am interested in your take on my situation.
<bot>: Recruiter would only tell me the midpoint of the salary budgeted for this position they want to hire me for. I remain highly skeptical, but hopeful.