A stock selling at $150 is expected to pay a dividend of $10 in three months and has a volatility of 20%. Consider call and put options with a 6-month maturity and a $160 strike price. The risk-free rate is 5% per annum continuously compounded. Consider a three-step binomial tree. (a) Use the binomial tree to price the put option if it is European. (2 marks) (b) Without using a Binomial tree, what is the price of the corresponding European Call? (2 marks)