Why did Jacob call his son Benjamin?

Benjamin was the son of Jacob and one of his wives, Rachel. The birth of Benjamin was very, very painful for Rachel. When Benjamin was born Rachel named him, with her dying breath, Benoni, meaning Son of My Pain. Jacob altered the name to Benjamin, literally meaning Son of the Right. People assume this to mean the right hand. The right was associated with riotousness, strength, and courage. The name Benjamin in Hebrew is Bin-Yamin. Bin means Son of and Yamin means Right. The Word right also means south, so Benjamin's name might be describing the location of his birth. Side note, my name is Benjamin.