John is trying three different methods to price a European put option that will expire in three months. The underlying stock is currently priced at $32 and doesn’t pay any dividend. The put strike is $30, the risk-free rate is 10% per annum and the volatility is 30% per annum. (1) What is the put price today based on the Monte-Carlo simulations using 5,000 trials? Make sure to provide the detailed equation for the simulated paths of underlying stock prices.