A T-bill quote sheet has 137-day T-bill (Face value: $10,000) quotes with a 4.12% bid and a 4.08% ask rates. (a) Calculate purchase price of the bill. (2 marks) (b) Calculate the corresponding bond equivalent yield and effective annual return. (4 marks) (c) Prices of zero-coupon bonds reveal the following pattern of interest rates: Years from now 0 1 2 1-year interest rate 5.8% 6.8% 8.2% Calculate: i) 2-year interest rate today and 3-year interest rate today. ii) 2-year forward rate 3 years from now if 5-year interest rate today is 8.3%