The car repo or charge-off wouldn't have to be paid for a Fannie Mae conforming loan program... they could be required to be paid for FHA. For conforming your debt ratio should qualify because you have quite a bit of funds in the 403b which is used as a compensating factor. For FHA the debt ratio might be too high for the $220k and is still borderline for the $200k sales price. I'm not familiar with the state RI program, but usually state sponsored programs are more stringent on credit requirements than conforming.. but not as stringent as FHA.
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