Twelve years ago, Mr$.$ Lawton rolled a $$31,000$ retiring allowance into an RRSP that subsequently earned $11\mathrm{.}4\%$ compounded semiannually. Three years ago he transferred the funds to an RRIF. Since then, he has been withdrawing $$2400$ at the end of each quarter. If the RRIF earns $9\mathrm{.}4\%$ compounded quarterly, how much longer can the withdrawals continue? $($Do not round intermediate calculations and round up the number of payments, n$,$ to the next whole number.$)$

$2$

years and

$3$

months.