a) Using the Black - Scholes option-pricing model, calculate: i. the value of the equity and debt of the company and the value of the risk- free debtwith the sameredemptionvalueandmaturity asthe company's debt at the beginning of 2016. (10 marks) ii. the value of limited liability for CaptainAmerica Ple, clearly explaining the economic meaning of the value of limited liability and the benefits of the limited liability for shareholders and, more generally, for the economy. (15 marks) iii. Calculate the continuously-compounded yield on the debt of CaptainAmerica Plc and its leverage ratio. (10 marks)