On June $30,2024,$ ABC was considering alternatives to bolster its cash position. Option One called for transferring $$500,000$ in accounts receivable to XYZ Finance Company without recourse for a $5\%$ fee. Option Two calls for Blondie to transfer the $$500,000$ in receivables to XYZ with recourse. XYZ$\text{'}$s charges a $4\%$ fee for receivables factored with recourse. Option Two meets the conditions to be considered a sale, but ABC estimates a $$4,000$ recourse liability. Under either option, XYZ will immediately remit $90\%$ of the factored receivables to ABC, and retain $10\%.$ When XYZ collects the remaining receivables, it remits the amount, less the fee, to ABC. Blondie estimates that the fair value of the final $10\%$ of the receivables is $$30,000($ignoring the factoring fee$).$ Using Option $1.$ Determine the Recourse Liability.