On $15$ October $2002,$ Bank One issued a $180-$day bank bill with a face value of $$400,000.$ The bill was accepted and discounted by Bank Two on that date. Bank Two held the bill until $13$ January $2003,$ when it sold it to Bank Three. On $12$ February $2003,$ Bank Three sold the bill to Bank Four. The quoted interest rates on bank bills on the dates in question were: