$1.$ A $60-$day, $$90,000$ face value commercial paper was issued when yields were $2\mathrm{.}09\%.$ What was its purchase price?

$2.$ Pawan is the marketing manager for Cyanamid Canada. His company will execute a marketing program half a year from now that requires a $$500,000$ investment. If his finance department had $$485,000$ to invest today into a $182-$day $$500,000$ face value commercial paper yielding $4\mathrm{.}55\%,$ would it have enough money to purchase the commercial paper? Show calculations to support your answer.