Here are some Bible verses that speak about sincere hope:
Romans 15:13 - "May the God of hope fill you with all joy and peace as you trust in him, so that you may overflow with hope by the power of the Holy Spirit."
Jeremiah 29:11 - "For I know the plans I have for you, declares the Lord, plans for welfare and not for evil, to give you a future and a hope."
Psalm 33:18 - "But the eyes of the Lord are on those who fear him, on those whose hope is in his unfailing love."
Lamentations 3:21-23 - "Yet this I call to mind and therefore I have hope: Because of the Lord’s great love we are not consumed, for his compassions never fail. They are new every morning; great is your faithfulness."
1 Peter 1:3 - "Praise be to the God and Father of our Lord Jesus Christ! In his great mercy he has given us new birth into a living hope through the resurrection of Jesus Christ from the dead."