How to calculate the problem about bonds, also please the teacher detailed answers

Question 4 (10 marks) Part (a) (5 marks) As you browse opportunities for investment, you come across coupon bonds issued by Horsham Industries. The bonds have: Face value = $100 Coupon rate = 5.50% per annum, paid semi annually Maturity = 10 years Current market price = $97.60 Yield to maturity = 5.82% At a required rate of return of 6.2% per annum, are you interested in buying the bonds? What is the maximum price you would pay for the bond? Part (b) (5 marks) If you purchased the Horsham bonds (part (a)) for $96.12 and the yield to maturity on the bonds has increased to 6.0% one year later, did you make a gain or a loss? How much