An insurance company must make payments to a customer of $10 million in one year, $8 million in three years and $4 million in five years. The yield curve is flat at 10%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (10 marks) b. What must be the face value and market value of that zero-coupon bond? (5 marks) c. Suppose that the interest rate decreases to 7%. The insurance company needs to reexamine her position. Is the position still immunized? If not, what actions are required