Investment bank in western countries prefer non economic major. This is because economic or finance major are everywhere. IT graduates will be much sought after due to their high problem solving skills and knowledge in IT.
But I strongly suggest you to break in to IB straight away after you graduate from university. Don't waste your time on postgraduate. NO ONE will hire postgraduate with zero working experience in investment banking field.
You could work as analyst in an investment bank for 1 to 2 years first. Then only study for MBA if you wanna move up the ladder to associate position OR exit to the buy-side career (I'd suggest this one).

You are so wrong. CFA cost more than MBA to study but its function is not as great as the MBA. After obtaining the MBA, your job scope will not be limited whereas CFA will only limit you in certain career that act as specialist.

lol.. finish ur undergrad first then return here n ask... u r 3 years too early

TS, I got offer from IBs with only BBA. You should focus on your degree now, put some colours in the cert, medals, some letters like 1st class, awards, gold medalist and so on. I got CFA soon after grad and then MBA recently. If you want IB or more prestige cert, CFA. But CFA is not easy. If you flung your IT degree, you may have hard time passing.

Focus on getting high grades and curricular activities.
Cfa without working experience doesn't add much value especially recruitment.
Only when you have extensive number if practical experience + technical knowledge from cfa, yes it will be.

MBA depends which school you enter. If you are talking about FT100 yes it will make a difference. For example CEO of Goldman Sachs is MBA background. Difference is MBA requirement for entry is much harder than cfa especially the prestigious ones.

Btw, isn't there good career prospect for our background? Oracle expert engineers in mys also can earn 20-30k per month after 10 years experience.