Insurance issues a $3-$year term insurance on $($x$).$ Benefits are paid at the end of the year of death. Level premiums are paid semi$-$annually, starting immediately. You are given:

$($i$)$ The death benefit is $$460,000$ in year $1,$ $$690,000$ in year $2,$ and $$920,000$ in year $3.($ii$)$ qx $=0\mathrm{.}025,$ qx$+1=0\mathrm{.}035,$ qx$+2=0\mathrm{.}045($iii$)$ i $=3\mathrm{.}9\%($iv$)$ Assume constant force of mortality for fractional ages.

$($a$)$Calculate the level net premium payable semi$-$annually.

$($b$)$Calculate $1\mathrm{.}5$V