2. A 10-year semi-annual coupon bond with face and redemption amount of 1000 is sold at premium. You are given the following information. (i) The present value of the coupons is equal to the present value of the redemp- tion amount. (ii) The ratio of the coupon rate to the yield rate is 1.2. (a) What is the purchase price of the bond? (b) Determine the amount for amortization of premium (or the principal repaid) in the 2nd coupon. (c) Determine the market price (clean price) of the bond at the middle of the first and second coupon payments (i.e., t = 0.5)