$2.$ Call Options Payoff and Profit $(20$ points$)$ A European Call option is selling for $$3$ with an exercise price of $$50,$ the underlying at expiration is $$53.$ Determine the following option buyer$$s payoff and profit. What about this option writer$$s payoff and profit?

$3.$ Put Options Payoff and Profit $(20$ points$)$ A European Put option is selling for $$3$ with an exercise price of $$50,$ the underlying at expiration is $$53.$ Determine the following option buyer$$s payoff and profit. What about this option writer$$s payoff and profit?