This problem involves American options. Suppose you observe in the market an American call option Cso(100, t) trading at a p of $10. Does an arbitrage opportunity exist? If so, what is the exact arbitrage profit amount? If not, enter zero. Question 6 This problem involves American options Suppose you observe in the market an American put option Piso(100,t) trading at price of $100 Does an arbitrage opportunity exist? If so, what is the exact arbitrage profit amort? If not, enter zero Question 7 10 pt This problem involves the sensitivity to changes in Sof the European call option CH(St) measured mathematically as OCE(S.) Aca as Consider a European call option on a stock with a strike price equal to the current stock price (1-0) and 4 years until expiration. Assume the risk-free interest rate is zero. Find an expression for Ac as a function of the volatility or only a What is Ar when a = 0.207 Please round your numerical answer to 4 decimal places