You have a choice of two bonds X and Y. Bond X is a $1,000 par value 30-year 8% semiannual coupon government bond selling at $920. Bond Y is a $1,000 par value 20-year 10% semiannual coupon corporate bond selling at $1,057. You believe that the yield curve for government securities will be flat after 5 years at 7.5% compounded semiannually, while that for the corporate bond Y will be 8.5% compounded semiannually after 5 years. If you can reinvest coupons at 3.5% per half-year in the coming 5 years, what bond would you choose over an investment horizon of 5 years?

PLEASE SHOW ALL WORK BY HAND, WITHOUT USING A FINANCE CALCULATOR OR EXCEL. THANK YOU.