Pension funds pay lifetime annuities to recipients. If a firm will remain in business indefinitely, the pension obligation will resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $3.0 million per year to beneficiaries. The yield to maturity on all bonds is 15.5%. Required: a. If the duration of 5-year-maturity bonds with coupon rates of 13.8% (paid annually) is four years and the duration of 20 -yearmaturity bonds with coupon rates of 4% (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 obligation? Note: Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places. b. What will be the par value of your holdings in the 20-year coupon bond? Note: Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places