bushpath (Financial Derivatives Toolbox)

Extract entries from node of bushy tree

Syntax

```
Values = bushpath(Tree, BranchList)
```

Arguments

Tree
Bushy tree.

BranchList
Number of paths (NUMPATHS) by path length (PATHLENGTH) matrix containing the sequence of branchings.

`Tree`	Bushy tree.
`BranchList`	Number of paths (`NUMPATHS`) by path length (`PATHLENGTH`) matrix containing the sequence of branchings.

Description

Values = bushpath(Tree, BranchList) extracts entries of a node of a bushy tree. The node path is described by the sequence of branchings taken, starting at the root. The top branch is number one, the second-to-top is two, and so on. Set the branch sequence to zero to obtain the entries at the root node.

Values is a number of values (NUMVALS)-by-NUMPATHS matrix containing the retrieved entries of a bushy tree.

Examples

Create an HJM tree by loading the example file.

```
load deriv.mat; 
```

Then

FwdRates = bushpath(HJMTree.FwdTree, [1 2 1])

returns the rates at the tree nodes located by taking the up branch, then the down branch, and finally the up branch again.

FwdRates = 

    1.0356
    1.0364
    1.0526
    1.0463

You can visualize this with the treeviewer function.

```
treeviewer(HJMTree)
```

See Also

bushshape, mkbush

bondbyzero bushshape