Eleni contributed $$400\mathrm{.}00$ every month into an RRSP for $25$ years. What nominal annual rate of interest will the RRSP earn if the balance in Eleni's account just after she made her last contribution was $$450,000\mathrm{.}00?$

The nominal annual rate of interest is $\%$ compounded monthly.

$($Round to two decimal places as needed.$)$