a) What is 1 year spot rate?rounded of in decimals as 0.0000b) what is 2 year spot rate? rounded of in decimals as 0.0000C) what is 3 years spot rate?rounded of in decimals as 0.0000D)d) Explain why the 2-year coupon bond is trading at a premium to its par value.

All sub-questions a) - m) relate to the following information: You observe the trading price of the following annual zero-coupon and coupon paying Government (risk-free) bonds: Maturity Coupon Price 1 0% $96.15 2 8% $106.59 3 0% $86.38 You use these bond prices to derive the pure yield curve. Importantly, you have been told that the pure yield curve is flat into perpetuity from year 3 onwards. There is also a perpetuity in the market that pays an annual 10% coupon and is trading on a 5% yield. All bonds trading in the market have a face value of $100. You are faced with the following liability: A one-off $1,441.85 payment due in 7.5 years time. You wish to immunize your interest rate risk. This question (parts a - m) is worth 18 marks in total. For each part, if you enter the correct answer you will receive full marks (even if you don't show working). If you choose to show working, and get the answer incorrect, you may receive part marks. If you simply enter the incorrect answer and do not show working, you will not receive any part marks