Dimi regrets that he didn$$t buy stocks. He thinks it would be better to buy a stock

of Air France$-$KLM with a price of $9$ euros and combine it with selling $($writing$)$ a

call option has a strike price of $9\mathrm{.}50$ euros and costs $0\mathrm{.}40$ euros.

a$)$ What is the intrinsic value and the time value of the option? $(0,5$ points$)$

b$)$ Show the payoff at maturity of this strategy for stock prices between $8\mathrm{.}5$ euros

and $11$ euros $($steps of $0\mathrm{.}50$ euros$)$ and show the result of this strategy

graphically. Why would he choose this strategy $(1$ point$)$