A $$100$ million interest rate swap has a remaining life of $10$ months. Under the terms of the swap, six$-$month LIBOR is exchanged for $7\%$ per annum $($compounded semiannually$).$ The average of the bid$-$offer rate being exchanged for sixmonth LIBOR in swaps of all maturities is currently $5\%$ per annum with continuous compounding. The six$-$month LIBOR rate was $4\mathrm{.}6\%$ per annum two months ago.

What is the face value of the first floating payment?

$2\mathrm{.}26$

$2\mathrm{.}3$

$2\mathrm{.}11$

$3\mathrm{.}5$