NBCT stock's 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. NBCT stock pays 35% dividends per share and the ex-dividend date is at year 1. There is one option with exercise price =$100 and maturity =3 years. 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 call option

4. Suppose it is American put option