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You manage a pension fund that will provide retired workers withlifetime annuities. You determine that the payouts of the fund areessentially going to resemble level perpetuities of $1 million peryear. The interest rate is 10%. You plan to fully fund theobligation using 5-year and 20-year maturity zero-couponbonds.a. How much market value of each ofthe zeros will be necessary to fund the plan if you desire animmunized position? (Do not round intermediatecalculations. Enter your answers in millions.)Market ValueFive-year$ millionTwenty-year$ millionb. What must be the face value of thetwo zeros to fund the plan? (Do not round intermediatecalculations. Enter your answers in millions rounded to 2 decimalplaces.)Face ValueFive-year$ millionTwenty-year$ million