$1.$ A $$100$ million interest rate swap has a remaining life of $10$ months. Under the terms of the swap, a six$-$month LIBOR is exchanged for

$6\%$ per annum $($compounded semiannually$).$ Six$-$month LIBOR forward rates for all maturities are $4\%($with semiannual compounding$).$ The six$-$month LIBOR rate was $2\mathrm{.}5\%$ two months ago. OIS rates for all maturities are $2\mathrm{.}9\%$ with continuous compounding.

a$.$ What is the current value of the swap to the party paying floating?

i$.($Hint: Determine the amounts being exchange first, via LIBOR rates$)$

b$.$ What is the value to the party paying fixed?