Question 2 (17 marks) a. LKDs bond currently sells for $834, which gives it a yield to maturity of 8%. Suppose that if the yield increases by 50 basis points, the price of the bond falls to $820. b. Alan is managing a pension fund with obligations to make payments of $3 million, $4 million, and $5 million at the end of the next three years, respectively. The market interest rate is 6% per annum. i. Determine the duration of the funds obligation. (6 marks) ii. Suppose Alan plans to fully fund the obligation using both 6-month zero coupon bonds and perpetuities. Determine how much of each of these bonds (in market value) Alan will hold in the portfolio. (8 marks