The Collaborative International Dictionary of English v.0.48:

Self-confidence \Self`-con"fi*dence\, n.
   The quality or state of being self-confident; self-reliance.
   [1913 Webster]

         A feeling of self-confidence which supported and
         sustained him.                           --Beaconsfield.
   [1913 Webster]

WordNet (r) 3.0 (2006):

self-confidence
    n 1: freedom from doubt; belief in yourself and your abilities;
         "his assurance in his superiority did not make him
         popular"; "after that failure he lost his confidence"; "she
         spoke with authority" [syn: assurance, self-assurance,
         confidence, self-confidence, authority, sureness]

Moby Thesaurus II by Grady Ward, 1.0:

62 Moby Thesaurus words for "self-confidence":
   aplomb, arrogance, assurance, assuredness, balance, belief,
   boastfulness, certitude, cockiness, cocksureness, conceit,
   confidence, confidentness, conviction, courage, equability,
   equanimity, equilibrium, face, faith, haughtiness, hubris,
   independence, level head, levelheadedness, overconfidence,
   oversureness, overweening, overweeningness, pardonable pride,
   poise, pomposity, positiveness, possession, presence of mind,
   pride, pridefulness, proudness, purse-pride, restraint,
   sanguineness, security, self-assurance, self-command,
   self-consequence, self-control, self-esteem, self-importance,
   self-possession, self-reliance, self-respect, self-restraint,
   self-sufficiency, settled belief, stiff-necked pride,
   stiff-neckedness, subjective certainty, sureness, surety, trust,
   vanity, well-regulated mind