Consider a two-period, two-state world. Let the current stock price be $35 and the risk-free rate be 5%. In each period, the stock price can either go up or down by 10%. A call option expiring at the end of the second period has an exercise price of $30.
1. Find the stock price sequence.
2. Determine the possible prices of the call at expiration.
3. Find the possible prices of the call at the end of the first period.
4. What is the current price of the call?
5. What is the initial hedge ratio?