KPT 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. KPT stock pays 35% dividends per share and the ex-dividend date is at year 1. There is one option with exercise price of = $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