If you pay off the car loan it will stay on your CR for 10 years from the time paid as a good account and add to the AAoA of your CR. As far as your investment CDs, these are not included on CRs so no information about them would benefit.
July 2013 score: EQ FICO 819, TU08 778, EX "806 lender pull 07/26/2013
Goal Score: All Scores 760+, Newest goal 800+
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Current scores after adding $81K in CLs and 2 new cars since July 2013
EQ:809 TU 777 EX 790 Now it's just garden time!
June 2017 update: All scores over 820, just pure gardening now.
I also am not sure how other creditors, specifically auto financing companies, will look at paying an auto loan for 2 months only. I would think they would want to see some payment history and 2 months may be too short......maybe 6 minimum before the PIF date? I'm not 100% sure that this will play a role but it does come to my mind that it may present an issue in the future for another car loan, especially since most car loans use the auto-enhanced scoring model.
On manual review yes that could be a factor. If you actually have the money to pay it off. Put it in savings account that is not linked to other accounts and keep paying monthly. IMO I would pay for a least 11 months. Then Pay FUll
Starting Score: 0