What word was used in the ancient Rome to describe the time — and festivities if any — when one year ends and another begins? The literal translation of "new year", annus novus, can be suitable for modern use, but I do not think it was the ancient choice of words.
I am looking for an event that was considered to mark or celebrate the change of a year, not an event that took place then by chance.
Please indicate when the named time period was. The year can be considered to start from the beginning of January or March, and I want to avoid ambiguity between the two.
The closest hit I could find in the Wikipedia list of Roman festivals is Feriae Marti, but there are very few details so I cannot be sure.