FIN 401 Lecture Notes - Lecture 4: Option Style, South Dakota Highway 45, Cengage Learning

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Chapter 4: option pricing models: the binomial model. 4. (two-period binomial model) in a recombining tree, if the underlying first moves up and then down, it will be at the same price as in the case when it first moves down and then up. In a non-recombining tree, the underlying will not be at the same price in those two cases. A recombining tree will have far fewer possible prices of the underlying. For a recombining tree of n time steps, there will be n + 1 possible final prices. For a non-recombining tree of n time steps, there will be 2 n possible final prices. That spread is an indication of the volatility. It is easy to see that if we increase u and/or decrease d, we increase the volatility. (extending the binomial model to n periods) if the up and down parameters were not adjusted, the stock would have unreasonable volatility.

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