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 by 10% or down by 10%. A call option expiring at the end of the second period has an exercise price of $30.
Find the stock price sequence.
- Determine the possible prices of the call at expiration.
- Find the possible prices of the call at the end of the first period.
- What is the current price of the call?
- What is the initial hedge ratio?