Book Image

Python for Finance Cookbook - Second Edition

By : Eryk Lewinson
5 (1)
Book Image

Python for Finance Cookbook - Second Edition

5 (1)
By: Eryk Lewinson

Overview of this book

Python is one of the most popular programming languages in the financial industry, with a huge collection of accompanying libraries. In this new edition of the Python for Finance Cookbook, you will explore classical quantitative finance approaches to data modeling, such as GARCH, CAPM, factor models, as well as modern machine learning and deep learning solutions. You will use popular Python libraries that, in a few lines of code, provide the means to quickly process, analyze, and draw conclusions from financial data. In this new edition, more emphasis was put on exploratory data analysis to help you visualize and better understand financial data. While doing so, you will also learn how to use Streamlit to create elegant, interactive web applications to present the results of technical analyses. Using the recipes in this book, you will become proficient in financial data analysis, be it for personal or professional projects. You will also understand which potential issues to expect with such analyses and, more importantly, how to overcome them.
Table of Contents (18 chapters)
16
Other Books You May Enjoy
17
Index

Simulating stock price dynamics using Geometric Brownian Motion

Simulating stock prices plays a crucial role in the valuation of many derivatives, most notably options. Due to the randomness in the price movement, these simulations rely on stochastic differential equations (SDE). A stochastic process is said to follow the Geometric Brownian Motion (GBM) when it satisfies the following SDE:

dS t = μS t dt + σS t dW t

Here, we have the following:

  • St - Stock price
  • μ - The drift coefficient, that is, the average return over a given period or the instantaneous expected return
  • σ - The diffusion coefficient, that is, how much volatility is in the drift
  • Wt - The Brownian Motion
  • d - symbolizes the change in the variable over the considered time increment, while dt is the change in time

We will not investigate the properties of the Brownian Motion in too much depth, as it is outside the scope of this book. Suffice to say, Brownian increments are calculated as a product...