$****$Please show work, not excel$\mathrm{.}4.$ A stock price is currently $$50.$ It is known that at the end

of six months it will be either $$60$ or $$40.$ The risk$-$free rate of

interest with continuous compounding is $8\%$ per annum. Calculate the

value of a six$-$month European put option on the stock with an

exercise price of $$52.$A$.5\mathrm{.}33$B$.4\mathrm{.}59$C$.4\mathrm{.}63$D$.$ The put is out of the money and therefore it is worthless