Suppose a European call option to buy a share for $100.00 costs $5.00. The stock currently trades for $97.00. If the option is held to maturity under what conditions does the holder of the option make a profit? Note: ignore time value of money.

When the price of the stock is greater than $105.

When the price of the stock is greater than $100.

When the price of the stock is greater than $102. Please provide a detail solution to reach one of the three options above.