The title Author and Perfecter of Faith is one of a group of names that includes the Greek word archēgos. This word has a breadth of meaning which is reflected in the variations of the English translations for the title.
The sense of the name is that Jesus (Yeshua‘) pioneered the way of faith and He is the goal or conclusion of our faith.
Author and Perfecter of Faith in Greek:
Ton tēs pisteōs archēgon kai teleiōtēn
Τὸν της πίστεως ἀρχηγὸν καὶ τελειωτὴν
Strong’s Concordance numbers: 4104, 747, 5055
Bible reference: Heb. 12:2
Therefore, since we have so great a cloud of witnesses surrounding us, let us also lay aside every encumbrance and the sin which so easily entangles us, and let us run with endurance the race that is set before us, fixing our eyes on Jesus, the author and perfecter of faith, who for the joy set before Him endured the cross, despising the shame, and has sat down at the right hand of the throne of God. (Hebrews 12:1-2)
The two Greek words in this name of Jesus can be translated using several variations of different English words.