Does the site mention the budget and completion time/cost at all? I can't find it from a quick browse/search of the site. It's taking editorializing to a whole new level to add details that are not in the linked article or site at all.
The right thing to do in this case is find the best source for this information (about the budget, schedule and completion time/cost) and make that the URL of the submission. Please email us the best links you know of about this (hn@ycombinator.com) and we'll consider updating the URL.
The site doesn‘t mention it, I got that information from various german announcements. I fear there probably won‘t be an English announcement regarding the budget, though there will be many regarding the tunnel.
€5.5 billion in 2005 is €8 billion in 2025, so it can be either over or under budget depending on how you amortize the costs over the construction period.