there is no reduced value. When a vehicle is repaired to like new condition there will not be any signs of damage if done properly and if you can tell there was a repair then you need to take it back and have it fixed/corrected properly. The accident might show up on carfax if all the proper channels were followed but that does not mean the value is reduced at all. I worked in the collision business for over 12 years and from my experiences dealing with customers, insurance companies, and my own accidents I can say that I have never seen any value lost to a vehicle due to an accident as long as its repaired accordingly.