using round numbers...
government buys 60% of GM (net worth is negative, they paid ~$10 per share, from a high of >$70 in 2000 and the current $0.75) for 50 bil
they 'pay'
-13 bil in cash, ie the escrow (operating capital) account
-credit line of (50 - 13 bil escrow) ~ 37 bil in government 'backing'
-and they loan them 7 bil at 7%...
so the gov got 60% in stock (the worth is arguable) for 13 bil cash (of which 7 was used for the loan) and a 7 bil loan, repayed with interest...so the gov is 'out' only 13 bil at this point and has 60% in stock...but the 13 bil (or 13 - 7 ~6 bil balance) is not the govs...
the 'escrow' is GM's at this point, the gov owns the stock...
it's an entirely different question whether gov should be in the market...
so yes, they did pay the loan back with $$ that originally came from the gov, but it is NOT the govs now, the stock is, the escrow $$$ is GM's...
no more than anyone paying their mortgage with 'the companies' money, it may have come from the company, but it's yours now...you gave them labor/services in an exchange...GM gave the gov stock for the 13 bil (and the loan) and the credit backing...
the flip side, if GM can turn this around the gov stands to make a fortune...
if the stock only goes to $20/share, net profit is 50 bil...but they will proably sell incrementally over time...but at 75 cents a share, it's going to be a while...
the fact that they felt they could pay the loan off with operating capital is a good thing, that means they have become cash positive and accumulated more reserves, a 'cushion', so they could afford to deplete reserves by making the 7 bil loan repayment...
only time will tell if this was a 'good' thing, and for which parties...it's too early now
so far GM has used only 6 bil (13 -7) of the 57 available to them (37 credit/untapped + 13 escrow/6 bil balance + 7 loan/repaid)
the gov is out 13 bil - the interest on 7 bil, and owns 60% of GM