2. A bond with $1,000 face value, 6% coupon, market interest rates of %7, and three years to maturity. a. Calculate the duration of the bond b. Assume that market interest rates increased to 10%, re-calculate the duration of the bond c. Assume that the market interest rates increased to 15%, re-calculate the duration of the bond d. Comment generally on the relationships between the interest rates, coupons, and duration