NBCT stocks current price is $100, over the next 3 years, the stock price will either increase 60% or decrease 37.5% each year. The risk-free rate of return is 6% per year. There is one option with exercise price = $100 and maturity = 3 years. Please use 3-time period binomial model to calculate the option price as of today for the following cases:

1-Suppose it is European call option.

2-Suppose it is European put option.

3-Suppose it is American put option.