3. GHI Insurance has an obligation of $1.5 million that must be paid 20 years from today. GHI Insurance would like to construct a portfolio using Bond A and Bond B that will ensure they are able to pay the obligation, regardless of a change interest rates. Bond A has a 6.0% coupon, paid semi-annualy, and a 30-year maturity. Bond B has an 11.0% coupon, paid semi-annualy, and a 10-year maturity. The discount rate applicable to both bonds, and to the $1.5 million obligation, is 9.0%. Bond A has a duration of 11.44 years, a face value of $100, and a present value of $69.04. Bond B has a duration of 6.54 years, a face value of $100, and a present value of $113.01. What quantity of Bond A and Bond B should GHI Insurance purchase? (30 marks)