Assume you have a bullet bond that pays semi-annually. The annual coupon is 2.5% and maturity is 5 years from now. The yield for the bond is 3% a. Calculate the Bond return if the yield goes up by 50bps b. Calculate the bond return if the yield goes down by 50bps c. Calculate the duration of this bond using the weighted average formula we discussed in class d. Calculate the convexity of the bond using the weighted average formula we discussed in class e. Use the formula for convexity and duration to approximate the returns. Is the approximation good