answer these questions please

1. Why do bond prices go down when interest rates go up? 2. Consider an 8% coupon bond selling for $953.10 with 3 years until maturity making annual coupon payments. The interest rates in the next 3 years will be, with certainty, r1=8%,r2=10%, and r3=12%. Calculate the yield to maturity and realised compound yield of the bond. 3. The following is a list of prices for zero-coupon bonds of various maturities. Calculate the yields to maturity of each bond and the implied sequence of forward rates