Valuation of European and American Options-Derivative Pricing in Python

Follow us on LinkedIn

In previous posts, we provided examples of pricing European and American options in Excel. For pricing the European option, we utilized the Black-Scholes formula, and for pricing the American option we utilized the binomial approach. In this post, we are going to implement these methods in Python.

Recall that,

In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options. The binomial model was first proposed by Cox, Ross and Rubinstein in 1979. Essentially, the model uses a “discrete-time” (lattice based) model of the varying price over time of the underlying financial instrument…

The binomial pricing model traces the evolution of the option’s key underlying variables in discrete-time. This is done by means of a binomial lattice (tree), for a number of time steps between the valuation and expiration dates. Each node in the lattice represents a possible price of the underlying at a given point in time.

Valuation is performed iteratively, starting at each of the final nodes (those that may be reached at the time of expiration), and then working backwards through the tree towards the first node (valuation date). The value computed at each stage is the value of the option at that point in time. Read more

We use the same input parameters as in the previous examples.  The main input parameters are as follows,

Derivative Pricing in Python Equity Options

Figure below shows the results calculated by the Python program. The Python program returns the same values as the Excel workbooks.

Derivative Valuation Equity Options Pricing in Python

Further questions

What's your question? Ask it in the discussion forum

Have an answer to the questions below? Post it here or in the forum

LATEST NEWSCanadians showing more support for striking workers amid inflation, corporate profits
Canadians showing more support for striking workers amid inflation, corporate profits

It was Samantha Henry’s first time on strike, and one that made headlines across the country. “Some people thought the strike would only last a week, a couple of days. And we went into almost five weeks,” said Henry, one of some 3,700 Metro employees…

Stay up-to-date with the latest news - click here
LATEST NEWSInflation likely gained pace in August, economists expect, reversing progress
Inflation likely gained pace in August, economists expect, reversing progress

OTTAWA — Economists are forecasting inflation reaccelerated to around four per cent last month, reversing previous progress made as gasoline prices push inflation higher. Statistics Canada’s August consumer price index report set to be released Tuesday is expected to show the annual inflation rate rose…

Stay up-to-date with the latest news - click here
LATEST NEWSUS national security adviser meets with Chinese foreign minister
US national security adviser meets with Chinese foreign minister
Stay up-to-date with the latest news - click here
LATEST NEWSShiba Inu (SHIB) Profitability Is Finally Back at Double-Digit Level
Shiba Inu (SHIB) Profitability Is Finally Back at Double-Digit Level
Stay up-to-date with the latest news - click here
LATEST NEWSA Fed decision, FedEx earnings and the UAW strike: What to know this week
A Fed decision, FedEx earnings and the UAW strike: What to know this week
Stay up-to-date with the latest news - click here

One Response

Leave a Reply