Things look pretty dire for Liverpool. Of course it's difficult to get a real grasp of what the real numbers are at this point. Here's an attempt:
2007 - Club sold to H&G for £218.9m
2010 - Club reports debt of £472.5m
BBC SPORT | Football | My Club | Liverpool | US pair agree Liverpool takeover
Liverpool pile up losses as group debts soar to £473m | Liverpool - Times Online
So over the course of 3 years they have more than doubled (216%) the debt, assuming the original purchase was 100% borrowed. From what I remember H&G borrowed something like £340m at the start. What were the banks thinking?
For whatever its worth, Forbes recently ranked Liverpool as having a value of US$822 (£556.5m).
Soccer Team Valuations - Forbes.com
So whatever the true value of Liverpool is, they need someone to come in and pay that value in cash. Then borrow against the club in order to build the stadium they so desperately need. On top of all this there are the managerial and player uncertainties, and a backdrop of a Europa League campaign starting in late-July.
I suppose its not out of the question they could find someone to buy the club and invest in the stadium, presuming that whatever purchase price is paid is reasonable.