April 2019
Intermediate to advanced
426 pages
11h 13m
English
Content preview from Mastering Python for Finance - Second Edition
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Trinomial trees in option pricing
In the binomial tree, each node leads to two other nodes in the next time step. Similarly, in a trinomial tree, each node leads to three other nodes in the next time step. Besides having up and down states, the middle node of the trinomial tree indicates no change in state. When extended over more than two time steps, the trinomial tree can be thought of as a recombining tree, where the middle nodes always retain the same values as the previous time step.
Let's consider the Boyle trinomial tree, where the tree is calibrated so that the probability of up, down, and flat movements, u, d, and m with risk-neutral probabilities qu, qd, and qm are as follows:
We can see that recombines to m =1. With ...
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