6. Consider the following four bonds: i. A 6\%-coupon bond with 8 years to maturity. ii. A 6\%-coupon bond with 18 years to maturity. iii. An 11\%-coupon bond with 8 years to maturity. iv. An 11%-coupon bond with 18 years to maturity. All bonds pay annual coupons and have a face value of $1,000. a. By what percentage will the price of each bond change if its yield to maturity increases from 4% to 5% ? b. By what percentage will the price of each bond change if its yield to maturity decreases from 4% to 3% ? c. Which bond is the most sensitive to a change in the interest rate? Which bond is the least sensitive? d. Which bond would you invest in if you are confident that the market interest rate will decline? e. Which bond would you prefer to hold if you are confident that the market interest rate will increase