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Python for Finance

You're reading from  Python for Finance

Product type Book
Published in Apr 2014
Publisher
ISBN-13 9781783284375
Pages 408 pages
Edition 1st Edition
Languages
Author (1):
Yuxing Yan Yuxing Yan
Profile icon Yuxing Yan

Table of Contents (20) Chapters

Python for Finance
Credits
About the Author
Acknowledgments
About the Reviewers
www.PacktPub.com
Preface
Introduction and Installation of Python Using Python as an Ordinary Calculator Using Python as a Financial Calculator 13 Lines of Python to Price a Call Option Introduction to Modules Introduction to NumPy and SciPy Visual Finance via Matplotlib Statistical Analysis of Time Series The Black-Scholes-Merton Option Model Python Loops and Implied Volatility Monte Carlo Simulation and Options Volatility Measures and GARCH Index

Generating random numbers with a seed


One of the major assumptions about option theory is that stock prices follow a log-normal distribution and returns follow a normal distribution. The following lines of code show an example of this:

>>>importscipy as sp
>>>x=sp.random.rand(10) 	# 10 random numbers from [0,1)
>>>y=sp.random.rand(5,2) # random numbers 5 by 2 array
>>>z=sp.random.rand.norm(100) from a standard normal 
>>>

After issuing the preceding function, the software would pick up a set of random numbers depending on a user's computer time. However, sometimes we need a fixed set of random numbers, and this is especially true when testing our models and code, and for teaching. To satisfy this need, we will have to set up the seed value before generating our random numbers, as shown in the following lines of code:

>>>importscipy as sp
>>>sp.random.seed(12456)
>>>sp.random.rand(5)
[0.92961609, 0.3163755, 0.18391881...
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