If I get an auto loan for, say, $30,000 I immediately rack up that much debt on my credit reports, right? If I lease a car, for say, $250/month for 2 years, how is that debt represented on my credit reports?
For an auto loan, the amount of the loan is shown. For a lease, your 'obligation' is the total amount of payments over the period of time that the lease is for. So, in your case, it would show ~$6,000.