A stock is at $100. Next month it will either jump to $110 or drop to $90. Assuming zero interest rates, what is the fair price of a European call option with a $100 strike? Tell me exactly how to replicate it using the stock and cash.

某股票现价100美元，下个月要么涨到110，要么跌到90。假设利率为0，行权价100的欧式看涨期权的公允价格是多少？请准确说明你如何通过股票和现金来复制它。