The FIRE$311$ financial security offers an investor with the payment of $$100$ at the end of year $1($t$=1),$ the payment of $$0$ at the end of year $2($t$=2),$ the payment of $$300$ at the end of year $3($t$=3),$and the payment of $$250$ at the end of year $4($t$=4).$ After that, the payments will grow at a constant rate of $5\%$ per year, forever. If the investor's cost of capital $($required rate of return$)$ is $16\%$ per annum, then what is the maximum price they are willing to pay for the FIRE$311$ financial security now $($at time t$=0)?$