Alpha plc plans to issue 100 million of bonds with a face value of 50,000, coupon rate of 4 per cent and 10 years to maturity. The current market interest rate on these bonds is 7 per cent. In one year, the interest rate on the bonds will be either 8 per cent with 60 percent probability or 5 per cent with 40 percent probability.

(a) If the bonds are non-callable, what is the price of the bonds today? (10 marks)

(b) If the bonds are callable one year from today, will their price be greater than or less than the price you computed in (a)? Discuss your answer from investors point of view. (5 marks)

(c) If a call price is 50,000, would the firm call the bonds? Please explain your answer (5 marks)