The greatest hope (expectation or confidence) of the Christian is to achieve the goal of heaven.
The blessed hope of heaven is made possible by the death and shed blood of Jesus Christ. As man experiences a saving faith in Christ Jesus, the fruits of true repentance come forth, and he becomes converted by God's grace. Motivated by love for Christ, he strives to obediently follow the biblical patterns of godly living, and he rejoices in the hope of eternal life in heaven. [1 John 2:25] The believer's affection is set on things above and not on things of the earth; [Colossians 3:1-2] however, the love of God and His promise of sufficient grace enables the believer to experience a life of joy and hope already on this earth. "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 15:13]
Because of this joy and hope, which fill the heart of every true believer, there is a strong desire to reach out to anyone who has an interest and invite them to come and learn about Christ, the Redeemer of all mankind.
"For God so loved the world, that he gave his only begotten Son, that whosoever believeth in him should not perish, but have everlasting life."