An investor sold a $3-$ month European call option contract on Unilever ltd$.$ by receiving $ $50$ premium per share. The contract size is $100$ shares per contract. The exercise price is $ $1200$ and the stock is currently selling for $ $1000.$ You are required to answer following:

a$.$ The initial cash flow of the investor$$s position? $(7$ Marks$)$

b$.$ The break$-$even stock price to the investor? $(8$ Marks$)$

c$.$ Draw a table showing gain or loss from call option to option holder if stock price reaches to $ $900,$ to $$1500$ with $ $100$ interval.

$(10$ Marks$)$