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Trinomial Model : A first approach
Issued on January 04 2011 par Strategies-options.com

Numerical models are a big family. Trinomial model is one of the son.
We saw previously that european style option can be priced with little effort using the binomial model.
We can find a very accurate value as far as we take a great number of time step.

The flexibility of that model was to be able to price a large variety of options, european as american ones.



I - Modifications

This time, one takes 3 states for the asset level.
The asset can go up, down or remain the same.

Notation :
σ annualized volatility
T maturity
n number of time step
t length of time per step (t=T/n)
r risk free rate over the maturity
q dividend yield
Y=r-q the cost of carry

u up factor
d down factor
m=1 steady factor

pu : probability for an up move
pd :probability for a down move
pm :probability for a stable move



II - Expressions

Thus,



The best way to grasp this method is to do it on a spreadsheet.


Next : Trinomial Model : On A Spreadsheet !
Previous : Binomial Model: VBA Code or Black & Scholes: Let's Price With It !



Related Pdf :

- Between Binomial and Trinomial Option Pricing Models
- The adaptive mesh model: a new approach to efficient option pricing
- Option Pricing: Lattice Models Revisited


OPTIONS PRICING MODEL - INDEX
OPTIONS PRICING MODEL - INDEX
OPTIONS PRICING MODEL - CHAPTER I
OPTIONS PRICING MODEL - CHAPTER II
OPTIONS PRICING MODEL - CHAPTER III

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