Stock ABC is trading for $50. The stock has a standard deviation on an annual basis of 20%. The risk free rate on a continuously compounded basis is 5%.
a. What is the price of a call that expires in 26 days and has a strike price of 50?
b. What is the price of a put that expires in 26 days and has a strike price of 50?
c. If the put was currently trading for $1.10 could you generate arbitrage profits? If so, show all the steps you would take and calculate your profits.
d. What is delta of each option?