Today, the stock XYZ is trading at $30. In one month, XYZ stock price can take any value between $0-60$, with increments of $2 as given below. Consider one European call option and one European put option on XYZ with one month maturity. Strike prices and option premiums are given below. (1) Find the intrinsic value and time value of the two options today. Are they In-The-Money, At-The-Money or Out-of-The-Money? (5 points) (2) Find the payoff and profit for longing one European call for every possible stock price at expiration. (5 points) (3) Find the payoff and profit for shorting one European put for every possible stock price at expiration. (5 points)