Consider a Stock Priced at $30 with a Standard Deviation

Multiple Choice

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) . Use this information to answer questions 1 through 10.
-If the transaction described in problem 6 is closed out when the option has three months to go and the stock price is at $36,what is the investor's profit?

A) $600
B) $311
C) $889
D) $229
E) none of the above