The outstanding mortgage balance and origination date are used to test if the interest is deductible. The mortgage limit is $750,000 ($375,000 if married filing separately). As long as you enter a number below that limit, your interest is deductible.
From a reasonableness standpoint, your share of the outstanding mortgage shouldn't be more than you paid for the coop apartment.
Use the date you joined the coop as the origination date.
Note that your entries for this calculation are not reported to the IRS. Only the amount on Schedule A and the name & address of the Coop are included with your filed tax return.
@ZorbaWL
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