1. It is 25 July 2022; you observe two treasury bills Maturity Price 25 September 2022 99.7985 25 March 2023 98.3855 (a) What are appropriate discount factors for 2 months and 8 months? (b) What are the spot rates, with semi-annual compounding, for 2 months and 8 months? (c) What would be a fair price for a bond, maturing on 25 March 2023, paying a 5% per annum coupon rate, with a semi-annual coupon? (d) Now suppose that you observed a bond, maturing on 25 September 2023, paying a 1% per annum coupon rate (with semi-annual coupons), trading at a yield to maturity of 2.75%. Use the DMO formula to calculate the bonds price. (e) What is an appropriate discount factor for 25 September 2023? (f) Calculate forward rates (with semi-annual compounding) from 25 September 2022 to 25 March 2023, and from 25 March 2023 to 25 September 2023.