Suppose that a stock price is $$40$ today $($T$).$ Graph the payoff and the profit $($in the same graph$)$ of the buyer of a call option on this stock with maturity T$+2$ months for the following two cases:

strike price $$35$ and premium $$9\mathrm{.}12$

strike price $$40$ and premium $$6\mathrm{.}22$

Now for the same stock and maturity give the payoff and the profit of a put option you buy if at T$+2$

the strike price is $$35$ and the premium is $$1\mathrm{.}53$

strike price is $$40$ and the premium is $$3\mathrm{.}26$

Give the graph of the value of the portfolio of one call option and one put option as above as a function of the asset price at T$+2.$

Now suppose that the portfolio contains only the call option but you are the writer of the put option. What is the value of the portfolio $($consider the put option payoffs and profits with a negative sign because you wrote it$)$ as a function of the asset price at T$+2.$ How does this portfolio compare with the previous one?