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Well, you'll pay the same amount of interest whether you paay it with your monthly payment or if it is taken out of the sales proceeds at closing. Only difference would be that you'll probably have a late fee assessed by skipping the 4/1 payment.
If it were me, i'd just make the regular payment on 4/1 to avoid a possible late payment showing up on credit report (which would be unlikely given that it was paid off on 4/25).
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