(10 marks) A 6-month American call option on a stock that is expected to pay dividends of $1 per share at the end of the second months and the fourth month. The current stock price $30, and the strike price of $34, the risk-free rate is 10% per annum, and the volatility of the part of the stock price that will not be used to pay the dividends is 30% per annum. Use a three-step binomial tree to calculate the option price. (10 marks) A 6-month American call option on a stock that is expected to pay dividends of $1 per share at the end of the second months and the fourth month. The current stock price $30, and the strike price of $34, the risk-free rate is 10% per annum, and the volatility of the part of the stock price that will not be used to pay the dividends is 30% per annum. Use a three-step binomial tree to calculate the option price