One of the benefits of redemption according to Isaiah 53:5 is not only having peace with God, "Therefore, having been justified by faith, we have peace with God through our Lord Jesus Christ" (Romans 5:1)
but also a deeper peace, "Peace I leave with you, My peace I give to you; not as the world gives do I give to you. Let not your heart be troubled, neither let it be afraid." (John 14:27)
The one side of peace is that through Christ the Father's wrath has been turned and by placing faith in Christ man has right standing with the Father which is a wonderful thing indeed. But believers are to experience the peace that Jesus had during His earthly ministry as the Son of man. That peace is a tranquil, quieting and uninterrupted happiness of mind. The divine peace that Jesus Himself continuously experienced in God. This kind of peace gives no place to the tumultuous world around us. It is the kind of peace that we see in Matthew 8 where Jesus slept in the boat even when the waves were crashing on it and in it, but it is also the kind of peace that believers should constantly abide in.
Jesus continues to explain how different His peace is. "Not as the world gives", which is a false sense of hope and security when at any time natural disasters, economic chaos, wars, and all matter of trauma wait in the wings to manifest. The only time in the history of man that the world experienced peace was before the fall of man.
Next Jesus makes a very important statement which is key to living in the peace that the LORD has provided. "Let not your heart be troubled, neither let it be afraid;" Not only is He saying do not be agitated; distressed or fearful but also do not be afraid, cowardly and unbelieving. Being troubled and afraid will ruin ones life; these things neutralize faith and can breed physical and or mental sickness. It's not a matter of hoping to obtain the peace of Christ, it is a matter of receiving His peace by faith because His death purchased FULL redemption for ALL in which a part is "The peace the peace of God which surpasses ALL understanding". Halleluiah