Dean has already implemented the first stage of his financial

plan. Over a $30-$year period, he will continue to increase his

annual year$-$end RRSP contributions by $3\%$ per year. His initial

contribution was $$2000.$ At the end of the $30$ years, he will

transfer the funds to an RRIF and begin end$-$of$-$month withdrawals

that will increase at the rate of $1\mathrm{.}8\%$ compounded monthly for $25$

years. Assume that his RRSP will earn $9\%$ compounded annually and

his RRIF will earn $6\%$ compounded monthly. What will be the size of

his initial RRIF withdrawal?$$