You need to look at your numbers again. Difference you have between Note & Amt. Financed is $104. Five odd days interest on $160,218 at 8% would be $175.58. So I assumed the odd days were not collected up front as prepaids, but rather you had a long first payment. Interest on $160,218 at 8% for 187 days is $6,566.74 and if there were $104 in PPFCs the total FC should be $6,670.74 - right? Not $6,583.91. Also 6 payments of $1,075.24 = $6,451.44. This is why the calculated APR is lower than the note rate.