Consider a 7-year semiannual payment floating-rate security whose coupon rate is determined as:

reference rate + 45.5 basis points

The current reference rate is 5% and bonds price is 97.25.

(1) What is the current coupon rate? (3 points)

(2) What is the required yield of the floating-rate bond? (5 points)

(3) What is the discount margin of the floating-rate bond? (2 points)