According to the Catholic Church, did Jesus have faith or hope? St. Paul says that faith, hope and love remain and the greatest of these is love; I've heard it reasoned that faith and hope aren't needed once you've been in the presence of God - but love alone remains in Heaven. 

So, while Jesus was man roaming the Earth (who since the beginning was with God and was God), did he have recourse the theological virtues of Faith or Hope?
1. Jesus enjoyed the Beatific Vision from his conception.

From the moment of his conception Jesus enjoyed the Beatific Vision, i.e. his human soul saw the divine essence with an intuitive vision and face to face, and in this vision his soul enjoyed the divine essence.

2. As a consequence, Jesus did not need faith.

Believing, an act whose enabling virtue is propositional faith, is assenting to the truth of a proposition which is not seen, either directly or by logical inference from first principles which are seen, on the basis of the authority of God Who revealed that proposition and Who cannot deceive.

But by seeing the divine essence, Jesus saw directly everything He needed to know about God, Himself as man, his mission and the world, so that for his human intellect there was no "unseen" proposition that He had to believe. Therefore He did not have propositional faith (usually called just "faith").

This point is treated by St. Thomas Aquinas in ST III, q.7, a.3 [1].

3. As another consequence, Jesus did not need hope.

Since this point is explained so briefly and clearly in the next ST article (ST III, q.7, a.4) [1], I will just quote its answer:


  As it is of the nature of faith that one assents to what one sees not,
  so is it of the nature of hope that one expects what as yet one has not; and as faith, forasmuch as it is a theological virtue, does not
  regard everything unseen, but only God; so likewise hope, as a
  theological virtue, has God Himself for its object, the fruition of
  Whom man chiefly expects by the virtue of hope; yet, in consequence,
  whoever has the virtue of hope may expect the Divine aid in other
  things, even as he who has the virtue of faith believes God not only
  in Divine things, but even in whatsoever is divinely revealed. Now
  from the beginning of His conception Christ had the Divine fruition
  fully, as will be shown (Question [34], Article [4]), and hence he
  had not the virtue of hope. Nevertheless He had hope as regards such
  things as He did not yet possess, although He had not faith with
  regard to anything; because, although He knew all things fully,
  wherefore faith was altogether wanting to Him, nevertheless He did not
  as yet fully possess all that pertained to His perfection, viz.
  immortality and glory of the body, which He could hope for.


[1] OF THE GRACE OF CHRIST AS AN INDIVIDUAL MAN (THIRTEEN ARTICLES)