Required:

A pension plan is obligated to make disbursements of $$2\mathrm{.}7$ million, $$3\mathrm{.}7$

million, and $$2\mathrm{.}7$ 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? $($Do not round intermediate

calculations. Round your answers to $2$ decimal places.$)$