Show all work. Label and clearly explain your answer. This is very important. You must explain how you arrived at your answer in order to get full credit.

a. PlumCZ corporation stock is currently priced at $44 per share. PlumCZ pays no dividends. A European call option contract (to buy 100 shares of PlumCZ) currently cost $360. The contract has an exercise price of $45 per share and expires in six months. The six-month simple risk-free interest rate is 3%. A European put option on PlumCZ shares also has an exercise price of $45 per share and also expires in six months. What is the price of this put option contract?

b. PearET corporation stock is currently priced at $66 per share. PearET pays no dividends. A put option contract for 100 shares has an exercise price of $66 per share and expires in six months. A call option contract for 100 shares also has an exercise price of $66 per share and expires in six months. Which is more expensive: the put contract or the call contract? Support your answer.