Mixing options and securities can often create interesting payoffs. For the following two cases, show in a graph what the payoff would be on the date the option expires if the stock price is either above or below the exercise price. Show the payoff of the individual positions, as well as the oveall payoff. Without loss of generality, assume the exercise price to be $100. Assume that each option mentioned below has the same exercise price and expiration day. a) Owning $100 in cash and a call option on a stock b) Owning a stock and a put option on that stock c) Assuming that the stock mentioned in parts a) and b) is the same and $100 in cash mentioned in part a) equals the present value of the exercise price (which is indeed true at the expiration date, where you discount for zero periods), then what relationship have you hereby demonstrated? Elaborate briefly