Pension fund pay lifetime annuities. If a firm expects to remain in business indefinitely, then its pension obligation will resemble a perpetuity Suppose, therefore, that you are managing a person fund with obligation to make perpetual payments of $2million per year to beneficiaries. They yield to maturity on all bonds is 16%, If the duration of 5 years maturity bond with coupon rates of 12% (paid annually)is 4 years and the duration of 20-year maturity with compose 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 obligation