The price of a non-dividend paying, small technology firm's stock is 94. A 145-day European put with an exercise price of 80 is selling for 5.25. The current risk-free rate is 5.5%. a) What is the implied volatility of the company's stock? Use a 365-day year. b) Use Monte Carlo simulation to price the put. c) Price the put when the company pays dividends at a rate of 2% per year.