There is no first centruy extrabiblical evidence that the "Jesus" described in the gospels existed. The leading historian of that time, Josephus, said virtually nothing about this man. The author(s) of the book of "Mark" were either reporting traditional stories about Jesus, or else were manufacturing stories about Jesus. The source of the traditional tales, if that what they were, and the manufactured stories, if that's what they were, was the same: the Old Testament. Mark took stories about Moses, Elija, David, and the Lord and adapted them to fit "Jesus" to show his readers that Jesus was just as divine a figure as those in the Old Testament.
Matthew and Luke copied, for the most part, what Mark had written. I wouldn't assume that Matthew "lied" when he wrote his Jesus stories; he may have sincerely believed that the things he wrote *must* have happened,since they happened to the divine figures in the Old Testament.
Those who are interested in learning more about the origin of the gospel stories, and discovering why most religious scholars believe that the stories are fictional, may consult the many articles listed on the web page shown below.
Joseph F. Alward
"Skeptical Views of Christianity and the Bible"
http://members.aol.com/jalw/joseph_alward.html