You are to show how duration can be used to immunize a bond portfolio. (15 total points) Assume you currently own the follow $1000 par value bond: Current Bond price = $910.28 Coupon rate = 7% Bond matures in 6 years (n = 6); Current yield to maturity (YTM) = 9% Duration = 5.05 years You desire to have approximately $1400 at the end of 5 years regardless of what happens to future interest rates. (1.) Calculate and show the future value of your wealth in each of the following scenarios at the end of 5 years if interest rates: (a) stay at the current 9% rate and you reinvest all interest payments at 9% for the next 5 years (b) increase to 10% and you reinvest all interest payments at 10% for the next 5 years (b) decrease to 8% and you reinvest all interest payments at 8% for the next 5 years