The Hebrew Bible doesn't have a lot to say about hope. Its emphasis is much more on obedience to law and covenant. It is less individualistic than Christianity. Salvation came for the whole community or not at all. In the Christian scriptures, hope plays a larger role.
Salvation is attained by the individual, through faith in Jesus as saviour.
The chief architect of hope for the early Christians was the Apostle Paul. An early persecutor of Christians, Paul later became a Christian, and risked his life to keep alive the faith, in the face of threats of death from the Roman authorities. He wrote continually to the churches around the Mediterranean, encouraging them to keep faith, to not give up hope. Paul believed that God's love was poured into human beings through the Holy Spirit, and that hope is grounded in that love. While Paul's formula might be a bit too Trinitarian for us, he captures something of the transcendent nature of hope.