The trouble with this is who was the war between? Officially it is between the UN and North Korea.
Also, a peace treaty is one thing, but I believe the US would be against signing one, because the next step or even the pre-requisite is a demand by the North that US troops pull out of South Korea and end their mutual defence treaties.
After that the next step for North Korea is a confederation with the South, with the eventual goal being Pyongyang being made the capital of Korea.
The US also has pre-requisites relating to the nuclear weapons programme and human rights.
I think it could be fair to say that neither side expects the other to agree to the demands necessary for a peace treaty.
Some analysts, such as B.R Myers, has argued that the North Korean leadership in particular would lose out from a peace treaty because the entire country has been organized to be on a war footing and that the Kims legitimacy to rule is based on the idea that they alone are able to protect the population from a hostile outside world (notably the US, their "puppet regime in "south Korea", and Imperial Japan). If the hostility was gone, then the people may realize they no longer need to undergo hardship to serve the military first policy of the Kims.
It's for that reason I have sometimes wondered if maybe we should give North Korea what it says it wants. Then see how long the Kim regime lasts without an external threat to scare its population with.