Pension funds pay lifetime annuities to reciplents. If a firm remains 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 $2.6 mittion per year to beneficiaries. The yleid to maturity on all bonds is 16%. Required: a. If the duration of 5 -year maturity bonds with coupon rates of 12% (paid annually) is 4.0 years and the duration of 20 -year maturity bonds with coupon rates of 6% (paid annually) is 79 years, how much of each of these coupon bonds (in market value) will you want to hoid to both fully fund and immunize your obligation? (Do not round intermediate calculations, Enter your answers in millions rounded to 5 decimal places.) b. What will be the par value of your holdings in the 20 year coupon bond? (Enter your answer in dollars not in millions. Do not round intermediate calculations. Round your answer to the nearest dollar amount.)