A speculator can choose between buying $100$ shares of a stock for $$40$ per share and buying $1000$ European call options on the stock with a strike price of $$45$ for $$4$ per option. For second alternative to give a better outcome at the option maturity, the stock price must be above

a$.$ $$45$

b$.$ $$55$

c$.$ $$50$

d$.$ $$46$