This question is a slight variation of the above problem. It's the same set$-$up as before, but now we have an intermediary who charges a $0\mathrm{.}3\%$ intermediation fee.

Companies A and B have been offered the following rates per annum on a $$20$M five$-$year loan. Company A requires a floating$-$rate loan. Company B requires a fixed rate loan. Design a swap that will appear equally attractive to both parties $($split any gains from the swap right down the middle$).$ Remember that the intermediary will take a $0\mathrm{.}3\%$ intermediation fee.

Fixed Rate Floating Rate

Company A $4\mathrm{.}2\%$ LIBOR $+0\mathrm{.}2\%$

Company B $7\mathrm{.}2\%$ LIBOR $+0\mathrm{.}8\%$

After the swap you designed, at what fixed rate of interest does Company B borrow?

$($Enter $11\mathrm{.}51\%$ as $0\mathrm{.}1151.$ Required precision: $0\mathrm{.}0001+/-0\mathrm{.}0001)$