The words "ransom" and "redeem" were used interchangeably in scripture.
Not only would Jesus pay the price for sin but also His death would be in place of us. In 1 Timothy 2:6, the word "ransom" is taken from the Greek word which means "a redemption-price." In other words, the ransom avails for all who will accept it (John 3:16; Romans 10:13).
The price paid for our redemption is the life of Jesus, that is, Jesus' blood (Colossians 1:14). This redemption, according to Hebrews 9:12, is eternal and is intended to purify us from all iniquity (Timothy 2:14), and bring us to serve the living God (Hebrews 9:14).
The purchase for our total salvation has already been made with the blood of Jesus, but our bodies have not been redeemed yet. That is to say that we have not received yet, all the benefits of this in our physical bodies. This will take place at the second coming of the Lord when we receive our new glorified bodies.
Our spirits are the only part of us that have experienced total redemption.
Thank God for the redemption He has provided!