You have bought three types of bonds. The first bond, A, is an one year till maturity zero-coupon bond
and quoted at 98:13, the second bond, B, is a 2 years till maturity 2% annual-coupon bond, the third
bond, C, is a 3 year till maturity 4% annual-coupon bond. The yield curve is flat (e.g. yields are the
same for bonds of all maturities). Face value of any bond is $1000. How much should you pay for a
portfolio of twenty A bonds, ten B bonds and twenty five C bonds? What is the duration of your bond
portfolio? Give detailed analysis of the problem (including method) in words.