It is not where you study, but what you study that
matters. I got my computer science degree in Australia and is
now working and living in US, California (Silicon Valley).
I'm a engineering manager who manages and trains a team of engineer
here in California for my employer.
Psychology is what we (I've migrated to US) in US call "Liberal
Arts" degree. It has similar value to a degree in Ethiopian
Basket Weaving, meaning, you'll probably not get a good job with
it.
My cousin got a business degree from the US (Washington DC I
recall) and he now drives a tour van in Singapore.
To each his own and you make your own choices, my recommendation
would be to invest in a technical/science degree if you're going to
be spending all that money anyway.