Question: A pension plan is obligated to make disbursements of $1.2 million, $2.2 million, and $1.2 million at the end of each of the next three years, respectively. The annual interest rate is 10%. If the plan wants to fully fund and immunize its position, how much of its portfolio should it allocate to one-year zero-coupon bonds and perpetuities, respectively, if these are the only two assets funding the plan?
Investment in one-year zero-coupon bonds =
Investment in perpetuity =