only need answer to question 7 thankyou

6) My pension plan will pay me $10,000 once a year in perpetuity. The first payment will come in exactly 5 years. The pension fund wants to immunize its position. (i) What is the duration of its obligation to me? The current interest rate is 10% per year (ii) If the plan uses 5-year and 20-year zero-coupon bonds to construct the immunized position, how much money ought to be placed in each bond? What will be the face value of the holdings in each zero? | Topic: Options (7 pts) 7. The Butterfly spread that we considered in the class was created by obtaining long and short positions in call options with different strike prices (X2