You work for a pension fund that has an obligation that must be paid in 10 years. currently this obligation, which has a present value of $200 million, is exactly funded (i. e., themarket value of the fund’s assets equals the present value of its obligation; net equity is exactlyzero). te duration of the fund’s assets is currently 8. the yield-to-maturity on zero coupon bondsof all maturities is currently 6%.(a)using the duration information, what would be the approximate change in the equity ofthe fund if interest rates decrease to 5% at all maturities? (b)your boss tells you that she would like you to shift all of the fund’s assets into a combinationof 5-year and 20-year zero-coupon bonds. how would you structure your investment to immunizethe fund against interest rate risk? that is, how much should you invest in the 5-year zero, and how much in the 20-year zero?