New York is 5 zones west of GMT. New Zealand is 12 zones east of GMT.
-- If both places are on Standard time, or both are on Daylight/Summer/Fast time, then it's 11:00 PM Sunday night anywhere in New Zealand.
-- If only New York is on Daylight time, then it's 10:00 PM in New Zealand.
-- If only New Zealand is on Daylight time ... (I'm not even sure they do Daylight time over there) ... then it's 12:00 midnight Sunday night in New Zealand.
