Find the swap rate of $1\mathrm{.}5-$year plain vanilla swap $3$ months after initiation with the following characteristics: $N=$$$100,$ semi$-$annual payments, and price is $$0\mathrm{.}4044.$ The floating leg is referenced to the $6-$month LIBOR, which was at $5\%3$ months ago.

$\backslash$table$[[$T$,$Z$(0,$T$)],[0\mathrm{.}25,0\mathrm{.}9840],[0\mathrm{.}5,0\mathrm{.}9730],[0\mathrm{.}75,0\mathrm{.}9650],[1,0\mathrm{.}9440],[1\mathrm{.}25,0\mathrm{.}9390],[1\mathrm{.}5,0\mathrm{.}9340]]$

a$.4\mathrm{.}9\%$

b$.4\mathrm{.}7\%$

c$.4\mathrm{.}8\%$

d$.5\mathrm{.}1\%$

e$.5\mathrm{.}0\%$