Question: Consider a binomial world in which the current stock price of 80 can either go up by 10 percent or down by 8 percent. The
Consider a binomial world in which the current stock price of 80 can either go up by 10 percent or down by 8 percent. The risk-free rate is 4 percent. Assume a one-period world. Answer the following:
- What would be the call's price if the stock goes up?
- What would be the call's price if the stock goes down?
- What is the hedge ratio?
- What is the theoretical value of the call?
Now extend the one-period binomial model to a two-period world. Answer the following:
- What is the value of the call if the stock goes up, then down?
- What is the hedge ratio if the stock goes down one period?
- What is the current value of the call?
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