James is an arbitrage hungry investor but he did not study well during his derivatives class and needs your help. He observes the price of a European call is $8 and a European put options on IBM is $13. Both options have a strike price of $30 and expire after 6 months. If the risk-free rate is 3.5% per annum and the stock price of IBM is $45. Investors expect a dividend of $2 after 3 months. Help James identify if there is an arbitrage opportunity and how he can take advantage of it.

please you need to show how you reached your answer