Please help me solve this question and show all work

True or False (and explain why!) You have an American call option on a stock at strike price of $100, and the stock price is now $120. It does not pay any dividends between now and expiration. You are very risk averse. You should exercise this option, quickly, because the stock might go down and make the option worthless. There is also no point to hanging on because there are no dividends to wait for