Question 9. John purchased three bonds to form a portfolio as follows: Bond A has semiannual coupons at 4%, a duration of 21.46 years, and was purchased for 980, Bond B is a 15-year bond with a duration of 12.35 years and was purchased for 1015. Bond C has a duration of 16.67 years and was purchased for 1000. Calculate the duration of the portfolio at the time of purchase. Hint: 16.773 and was purchased for auration of 16.67 years