Problem 2: Option Valuation (18 marks)

Hi could you please help me with these homework question with working too please

Spot Price: 66

Strike Price: 68

Based on this spot price and this strike price as well as the fact that the risk-free interest rate is 6% per annum with continuous compounding, please undertake option valuations and answer related questions according to following instructions:

Binomial trees:

Additionally, assume that over each of the next two four-month periods, the share price is expected to go up by 11% or down by 10%.

a.Use a two-step binomial tree to calculate the value of an eight-month European call option using the no-arbitrage approach.

b.Use a two-step binomial tree to calculate the value of an eight-month European put option using the no-arbitrage approach.

c.Show whether the put-call-parity holds for the European call and the European put prices you calculated in a. and b.

d.Use a two-step binomial tree to calculate the value of an eight-month European call option using risk-neutral valuation.

e.Use a two-step binomial tree to calculate the value of an eight-month European put option using risk-neutral valuation.