b. A bond portfolio consists of the following three annual coupon payment bonds. Prices are per 100 of par value. Price Coupon (%) Bond Maturity Market (years) Value 171,000 B 10 161,800 C 15 150.000 Modified Duration (years) 5.23 3.00 Yield-to- Maturity (%) 5.95 5.99 6.00 85.50 80.90 100.00 3.40 6.00 7.98 9.71 i. Determine the weight of each bond in the bond portfolio. (3 marks) ii. Calculate the bond portfolio's modified duration. (2 marks)