1. (8 points) Suppose that the put premium with a strike price of $100 and the time to maturity of 3 months is $30. The current stock price is $120 and the risk-free interest rate is 8%. Is there an arbitrage profit opportunity if the call on the same stock is selling for $45? If there is an arbitrage profit opportunity, what would you do to exploit the opportunity? Also, prove how the opportunity can be realized.