6. It can be shown that the solution to the above immunization problem is to invest in: 22,650.14 Bonds of Type B and 30,528.78 Bonds of Type D. What is the modified duration of this portfolio?

A. 8.520 B. 9.108 C. 9.355 D. 10.00

E.none of them

A liability of $10 million is due in 10 year's time. The yield curve is currently flat at 6.9% per annum. The following 5 portfolios are available to invest in. Each portfolio comprises one of Bonds A, B, C and D whose details are given below. Assume annual compounding for all bonds. Term to maturity Coupon Bond Macaulay Duration Face Value ($) (yrs) rate (yrs) A 10 0% 10 100 B 10 10% 7.08 100 16 7.5% 100 D 25 5.0% 13.40 100 10 i. 194,884 bonds of Type A ii. 82,052 bonds of Type B iii. 94,602 bonds of Type C iv. 48,543 bonds of Type C v. 66,075.54 bonds of Type D UZ OM A liability of $10 million is due in 10 year's time. The yield curve is currently flat at 6.9% per annum. The following 5 portfolios are available to invest in. Each portfolio comprises one of Bonds A, B, C and D whose details are given below. Assume annual compounding for all bonds. Term to maturity Coupon Bond Macaulay Duration Face Value ($) (yrs) rate (yrs) A 10 0% 10 100 B 10 10% 7.08 100 16 7.5% 100 D 25 5.0% 13.40 100 10 i. 194,884 bonds of Type A ii. 82,052 bonds of Type B iii. 94,602 bonds of Type C iv. 48,543 bonds of Type C v. 66,075.54 bonds of Type D UZ OM