2) The below chart shows the fixed obligations of the Sabanci pension plan, which is managed by FIN402 students: Using an assumed interest rate of 6%, the present value of this stream of fixed cash outflows is $40 million. You are given $40 million to invest in U.S. Treasury bonds for the pension plan. Your boss insists that you only invest in 1-year and 10-year STRIPS. Your task is to minimize the exposure of the Sabanci pension fund to unexpected changes in the level of interest rates. Your performance will be evaluated after one year. a) What is the duration of the obligation in year 2022 ? b) Describe - step by step - how you would choose and manage the portfolio of 1-year and 10year STRIPS to minimize the exposure to interest rate risk