You manage a pension fund that will provide retired workers with lifetime annuities. You determine that the payouts of the fund are essentially going to resemble level perpetuities of $1.0 million per year. The interest rate is 7%. You plan to fully fund the obligation using 5-year and 20-year maturity zero-coupon bonds.

a.How muchmarket valueof each of the zeros will be necessary to fund the plan if you desire an immunized position?(Do not round intermediate calculations. Enter your answers in millions. Round your answers to 1 decimal place.)

Market Value

Five-year $million

Twenty-year $million

b.What must be theface valueof the two zeros to fund the plan?(Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.)

Face Value

Five-year $million

Twenty-year $million