A stock has a current price of $50.$ The continuously compounded risk$-$free interest

rate is $8\%.$ The stock is going to pay a dividend of $0\mathrm{.}5$ one month from now and

another dividend of $1$ five months from now.

Suppose that the market prepaid forward price of a prepaid forward contract

that delivers one share after $6$ months is $49.$ Construct an arbitrage portfolio

and give the arbitrage profit.