Pension funds pay lifetime annuities to recipients. If a firm remains in business indefinitely, the pension obligation resemble a perpetuity. Suppose, therefore, that you are managing a pension fund with obligations to make perpetual payments of $2 million per year to beneficiaries. The yield to maturity on all bonds is 16%.

a. If the duration of 5-year maturity bonds with coupon rates of 12% (paid annually) is four years and the duration of 20-year maturity bonds with coupon rates of 6% (paid annually) is eight 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? (JUST SOLVE FOR WEIGHTS)