Final answer:
Llamas did not originate in the Old World; they are native to South America, unlike cattle, sheep, and pigs which originated in the Old World.
Step-by-step explanation:
The animal that did not originate in the Old World of Europe, Africa, or Asia is llamas. Llamas are native to South America, particularly the Andean region. Unlike cattle, sheep, and pigs, which all have their origins in the Old World, llamas were domesticated in the New World.