Assuming we're talking about federal taxes, the basic rule for most people is that to avoid penalty, one would pay in no less than the tax paid in the prior year. If in fact you had no income and therefore no tax in the prior year, there should be no penalty and no estimated tax payments due in the current year. Obviously, this does not mean you may not owe taxes by April 15 if in fact you had taxable income during the prior calendar year and this is something you should be prepared for. Good luck
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