Does a divorce occur if a husband says to his wife, "If you don't like me, then divorce me," and she replies, "That is what will happen"?

The husband's statement to his wife, "You are divorced by your hand," is considered an authorization for her to divorce herself. However, the divorce does not take effect merely by her saying, "I am divorced," because this is considered a promise of divorce, and a promise of divorce is not an actual divorce.