5. Consider a call and a put option, both with strike price of $30 and 3 months to expiration. The call trades at $4, the put price is $5, the interest rate is 0, and the price of the underlying stock is $29. (1) Suppose the stock does not pay dividends. Is there an arbitrage? If so, write down the sequence of trades and calculate the arbitrage profit you realize in 3 months. If not, explain why not. (2) Suppose the stock will pay a dividend of $2 in 2 months. Assume all other prices are as above. Is there an arbitrage? If so, write down the sequence of trades and calculate the arbitrage profit you realize in 3 months. If not, explain why not. 5. Consider a call and a put option, both with strike price of $30 and 3 months to expiration. The call trades at $4, the put price is $5, the interest rate is 0, and the price of the underlying stock is $29. (1) Suppose the stock does not pay dividends. Is there an arbitrage? If so, write down the sequence of trades and calculate the arbitrage profit you realize in 3 months. If not, explain why not. (2) Suppose the stock will pay a dividend of $2 in 2 months. Assume all other prices are as above. Is there an arbitrage? If so, write down the sequence of trades and calculate the arbitrage profit you realize in 3 months. If not, explain why not