If your 2015 income tax liability last year was really $0, you were a U.S. citizen or resident for that entire year and your last year tax covered a 12-month period then you do not need to make estimated tax payments. You can wait and send in your 2016 income tax with your 2016 income tax return. You are in one the "safe harbors" for avoiding an underpayment penalty.
Tom Young
