The class introduced in Fire Emblem: Fates is called the Merchant. It is a Hoshidan advanced class associated with characters who follow the Apothecary or Villager class lines.
Merchants are physical combat units that use lances and bows. Their defining theme is money: the class can use the skills Profiteer and Spendthrift, which interact with Gold Bars and the unit’s wealth. This gives the Merchant a distinctive economic identity alongside its battlefield role.
The class is easy to confuse with Mechanist because both are Hoshidan classes connected to the Apothecary line. Mechanists ride mechanical karakuri puppets and use shuriken and bows, whereas Merchants fight with lances and bows. Basara and Master of Arms are also Hoshidan advanced classes, but neither is the merchant-themed promotion in the question.
Merchant is therefore both the class’s official name and the single canonical answer. The title is especially associated with Anna in some versions and with characters such as Mozu or Midori when class changes are available.