Consider the stock with a spot price $(S_t)$ of $$100.$ The stock pays dividend of $$3$ per share each half year.

$($a$)$Compute the fair forward price on this stock with one year maturity.

$($b$)$ Suppose you are long $300$ one$-$year forward contracts $($one stock per contract$)$ on the stock with a delivery price of $$110,$ what is the value of your long forward position?

$($c$)$Suppose a broker$/$dealer is willing to make market $($buy$/$sell$)$ at a one$-$year forward price of $$100.$ What can you do to lock in a profit? $($yes$,$ there is an arbitrage. Just tell me what to do$).$