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Binomial Model : simplest option pricing model
Issued on September 29 2010 par Strategies-options.com

The binomial model is the simplest way to price an option.
Binomial model is a discret model to price options. It's a very intuitive and useful model that is able price a large variety of derivatives.



I - A Discret Model !

The binomial model is a discret model in a sense that it leads to an option value by scaling the maturity T in n intervals ∆t.

T= n∆t

The larger n, the more accurate the model.



II - Data

S spot
K strike
σ volatility
b=r-q cost of carry
with
r annualized interest rate
q annualized dividend rate



III - The Binomial Model

If T= n∆t, then ∆t= T ∕n

If u is an up factor, d a down factor such as
u=exp(σ√∆t)
d= exp(-σ√∆t)

If p is the risk neutral probability for an up move for the asset during ∆t

p=((exp(b∆t)-d) / (u-d)

And if
m=n-i
Then





Next : Binomial Model : Let's Price With It !
Previous : Simple Definition Of What An Option Is


Pdf connexes :

- BINOMIAL MODEL


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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