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Python for Finance

You're reading from   Python for Finance If your interest is finance and trading, then using Python to build a financial calculator makes absolute sense. As does this book which is a hands-on guide covering everything from option theory to time series.

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Product type Paperback
Published in Apr 2014
Publisher
ISBN-13 9781783284375
Length 408 pages
Edition 1st Edition
Languages
Tools
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Author (1):
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Yuxing Yan Yuxing Yan
Author Profile Icon Yuxing Yan
Yuxing Yan
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Toc

Table of Contents (20) Chapters Close

Python for Finance
Credits
About the Author
Acknowledgments
About the Reviewers
www.PacktPub.com
Preface
Introduction and Installation of Python FREE CHAPTER 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

Finding an efficient portfolio and frontier


In this section, we show you how to use the Monte Carlo simulation to generate returns for a pair of stocks with known means, standard deviations, and correlation between them. By applying the maximize function, we minimize the portfolio risk of this two-stock portfolio. Then, we change the correlations between the two stocks to illustrate the impact of correlation on our efficient frontier. The last one is the most complex one since it constructs an efficient frontier based on n stocks.

Finding an efficient frontier based on two stocks

The following program aims at generating an efficient frontier based on two stocks with known means, standard deviations, and correlation. We have just six input values: two means, two standard deviations, the correlation (), and the number of simulations. To generate the correlated y1 and y2 time series, we generate the uncorrelated x1 and x2 series first. Then, we apply the following formulae:

Another important issue...

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