Draw the expiration date payoff diagrams for the following investment strategies: $($You can

draw by hand.$)$

$($a$)$ Buy two call options with $$70$ exercise price and one put option with $$75$ exercise price

written on the same stock

$($b$)$ Buy a put option with exercise price of $$80,$ sell a put option with exercise price of $$30$

and lend the present value of $$50$ at the risk$-$free rate.

$($c$)$ Buy a call option with exercise price of $$100,$ sell a call option with exercise price of

$$150$ and buy a share of underlying stock.