Pension funds poy Ifetime onnuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble o perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $1.4 milian per year to beneficiaries. The yield to maturity on all bonds is 13.0% a. If the duration of 5-year maturity bonds with coupon rates of 9.0% (paid onnuolly) is four years and the diuretion of 20 -year maturity bonds with coupon rates of 6% (paid annually) is 11 years. how much of each of these coupon bonds (in market value) will you want to hold to both fully fund and immunize your obligotion? (Do not round intermediate calculations. Enter your answers in miliions rounded to 1 decimal ploce.) b. What will be the par value of your holdings in the 20 -year coupon bond? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)