You are to design for a small pension fund a bond portfolio to fund a 10 million obligation due in 4 years. The fund managers would like to use a 2-year zero along with an 8-year zero to fund the obligation. Currently, the yield curve is flat at around 15% for all maturities. a. Design a bond portfolio that will protect the pension fund from fluctuations in interest rates. b. Suppose that immediately after you set up the portfolio, the yield curve shifts to 17% at all maturities. Calculate what you expect the future value of the investment in the two bonds to be in year 4. Do you exactly meet the obligation of the fund? Explain any difference