More importantly, I doubt that you are going to find a Nexus 4 at anywhere near the $249 price point.
Prices at the Play Store were cut about a month ago and all the remaining stock of both the 8GB and 16GB devices was gone within a week or two. Every indication is that they will not return, although I suppose anything is possible.
You can find new in box N4's on eBay and Amazon at $50 - $150 above the Play Store price.