A 6-year bond with a 4% coupon sells for $102.46 with a 3.5384% yield. The conversion factor for the bond is 0.90046. An 8 year bond with 5.5% coupons sells for $113.564 with a conversion factor of 0.9686. (all coupon payments are semiannual). Which bond is cheaper to deliver given a T-Note futures price of 113.81?
Please show work,