Consider a stock forward contract that has a life of $5$ months. The risk$-$free interest rate is $6\%$ p$.$a$.($continuously compounded$).$

$1.$ a$)$ If the spot price is $$108,$ what is the $$fair$$ futures price?

$2.$ b$)$ If the futures contract is selling for $$111\mathrm{.}1,$ what should an arbitrageur do to get a riskless, positive profit? What is this profit?