A $5-$year Circular File bond with face value of $$1,000$ pays interest once a year of $$45$ and sells for $$964.$

a$.$ What are its coupon rate and yield to maturity?

Note: Do not round intermediate calculations. Enter the coupon rate as a whole percent and the yield to maturity as a

percent rounded to $2$ decimal places.

b$.$ If Circular wants to issue a new $5-$year bond at face value, what coupon rate must the bond offer?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to $2$ decimal places.