An insurance company must make payments to a customer of $9 million in one year and $4 million in six years. The yield curve is flat at 7%.

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? (Do not round intermediate calculations. Round your answer to 4 decimal places.)

b. What must be the face value and market value of that zero-coupon bond?