Apple currently trades at $$591.1.$ You can buy a $3-$month put option on Apple stock with a strike price of $$586$ for $$33\mathrm{.}3.$ How much do you have to pay to establish a protective put position for a single unit? $2.$ In reality, you cannot buy a single option, only an option contract. According to the CBOE website, how many shares of the underlying stock are covered by $1$ option contract for equity options? $3.$ From now on$,$ assume you bought $1$ put option contract $($and no stocks$).$ What is the option payoff at expiration if the stock price has risen to $$593?4.$ What is the option payoff at expiration if the stock price has fallen to $$582?5.$ What is your total profit with a stock price of $$582?$