Consider a stock priced at $30 with a standard deviation of 0.3. The risk-free rate is 0.05. There are put and call options available at exercise prices of 30 and a time to expiration of six months. The calls are priced at $2.89 and the puts cost $2.15. There are no dividends on the stock and the options are European. Assume that all transactions consist of 100 shares or one contract (100 options).

a.) What is your profit if you buy a call, hold it to expiration and the stock price at expiration is $37 (Hint chapter 6-value of a call option premium $2.89 and $2.15 for the put)?

b.) What is the breakeven stock price at expiration on the transaction (chapter 6 call BE)?