$($Expected cash flows$)$ On December $31,2025,$ Conchita Martinez Company signed a $1,000,000$ note to Sauk City Bank. The market interest rate at that time was $12\%.$ The stated interest rate on the note was $10\%,$ payable annually. The note matures in $5$ years. Unfortunately, because of lower sales, Conchita Martinez's financial situation worsened. On December $31,2027,$ Sauk City Bank determined that it was probable that the company would pay back only $600,000$ of the principal at maturity. However, it was considered likely that interest would continue to be paid, based on the $1,000,000$ loan. a$.$ Determine the amount of cash Conchita Martinez received from the loan on December $31,2025.$ b$.$ Prepare a note amortization schedule for Sauk City Bank up to December $31,2027.$ c$.$ Determine the loss on impairment that Saul City Bank should recognize on December $31,2027.$