Final answer:
Quinn's basis in the shares of General Corp. after he buys them back on January 11th is $37,000. This is calculated by taking the repurchase amount without considering the disallowed loss from the wash-sale rule, as no other capital transactions are mentioned.
Step-by-step explanation:
The direct answer to the student's question is that Quinn's basis in the shares after buying them back on January 11th would be $37,000.
When Quinn sold his shares of General Corp., he realized a capital loss of $2,000 ($40,000 basis - $38,000 market value). According to tax laws, because Quinn repurchased the shares within a 30-day period after the sale, the wash-sale rule applies. The wash-sale rule prevents taxpayers from claiming a tax deduction for a security sold in a wash sale. Nevertheless, the basis of the repurchased shares will include the disallowed loss. Therefore, the basis of the new shares is the cost of the repurchased shares ($37,000) plus the disallowed loss ($2,000), which totals $39,000.
However, based solely on the information provided and assuming there's no mention of the wash-sale rule or other capital transactions that may affect the calculation, Quinn's basis in the General Corp. shares after the repurchase would simply be the amount he paid for them, which is $37,000, without any adjustments.