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Given this functional link to volatility, note now the resultant difference in the construction relative to equity implied trees: for interest rates, the volatility is known for each time-step, and the node-values (i.e. interest rates) must be solved for specified risk neutral probabilities; for equity, on the other hand, a single volatility ...
The trinomial tree is a lattice-based computational model used in financial mathematics to price options. It was developed by Phelim Boyle in 1986. It is an extension of the binomial options pricing model, and is conceptually similar. It can also be shown that the approach is equivalent to the explicit finite difference method for option ...
A tree structure, tree diagram, or tree model is a way of representing the hierarchical nature of a structure in a graphical form. It is named a "tree structure" because the classic representation resembles a tree, although the chart is generally upside down compared to a biological tree, with the "stem" at the top and the "leaves" at the bottom.
This template is meant to be used in conjunction with {} and {{Tree chart/end}} to create various types of charts (such as family trees). See {{ Tree chart }} 's documentation for help on how to actually make charts.
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The original tree is converted to a binary tree: each node with more than two children is replaced by a sub-tree in which each node has exactly two children. Each region representing a node (starting from the root) is divided to two, using a line that keeps the angles between edges as large as possible.
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