An insurance company must make payments to a customer of $10 million in 1 year and $5 million in 5 years. The yield curve is flat at 10%.
a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.)
Maturity of zero coupon bond years
b. What must be the face value and market value of that zero-coupon bond? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. Omit the "$" sign in your response.)
Face value $
Market value $