The Bible addresses hope directly in several passages:
Romans 15:13 (KJV)
13 Now the God of hope fill you with all joy and peace in believing, that ye may abound in hope, through the power of the Holy Ghost.
Romans 8:24-25 (KJV)
24 For we are saved by hope: but hope that is seen is not hope: for what a man seeth, why doth he yet hope for? 25 But if we hope for that we see not, then do we with patience wait for it.
Hebrews 11:1 (KJV)
1 Now faith is the substance of things hoped for, the evidence of things not seen.
Jeremiah 29:11 (KJV)
11 For I know the thoughts that I think toward you, saith the LORD, thoughts of peace, and not of evil, to give you an expected end.