Finance-If a half-year 2. 7 percent coupon bond (paying twice per year)

Need detailed calculations for the following: If a half-year 2. 7 percent coupon bond (paying twice per year) is trading at 100. 62 and a one-year 8. 7 percent coupon bond (paying twice per year) is trading at 106. 5, find half-year and one-year discount factors. The face value of either bond is $100. Assume semi-annual compounding. Write your answers for the following: 1. Half-year discount factor. 2. One-year discount factor. 3. Half-year spot interest rate. 4. One-year spot interest rate. 5. Forward rate for 6 to 12 months.