A liability of $28 million is due in 9 years' time. The yield curve is currently flat at 5% per annum. Th following 5 portfolios are available to invest in. Each portfolio comprises one of Bonds A, B, C and whose details are given below. Assume annual compounding for all bonds. Bond Term to Coupon rate maturity (yrs) Macaulay Face Value Duration (yrs) ($) 9 0.00% 9.00 100 B B 9 9 5.50% 17.37 100 C 14 11.16% 19.00 100 18 4.50% 12.53 100 i. 434,372 bonds of Type A ii. 174,296 bonds of Type B iii. 173,939 bonds of Type C iv. 112,123 bonds of Type C v. 297,381 bonds of Type D 4. Suppose you decide to immunize against this liability using q_B bonds of type B and q_D bonds of type D. Bonds of type B have a price of 103.55, a Macaulay duration of 7.37, a modified duration of 7.02 and a dollar duration of 726.61. Bonds of type D have a price of 94.16, a Macaulay duration of 12.53, a modified duration of 11.93 and a dollar duration of 1,123.29. The liability has a market value of 18,049,049.65, a Macaulay duration of 9, modified duration of 8.57 and a dollar duration of 154,706,139.89. The first equation for finding the immunization portfolio is: 103.55q_5 + 94.16q_l= 18,049,049.65. Which of the following is a correct expression for the second equation? [ Select ] [ Select ] 103.55*7.37*q_B + 94.16*12.53*q_D=154,706,139.89*8.57 726.61q_B + 1,123.299_D=154,706,139.89 folio with weight, w_B, on bonds of type B 726.61q_B + 1,123.29q_D=18,049,049.65*9 eld curve, the first equation for finding the 7.37q_B + 12.53q_D=9 7.02q_B + 11.939_D=8.57 ollowing is a correct expression for the