Great questions, you should be able to get a loan with 3.5% down.
You need to work with lenders such as Citi bank or those on. http://Www.bank rate.com
The lower the income, the smaller the mortgage.
Go to mortgage department in an international bank and get Pre-Approved.
You would be looking at a minimum 3.5% down payment, 4.5% interest rates, and in the NYC area they can go up to $729,750 on 1-unit properties (scheduled to be reduced to $625k later this Fall).