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NumPy Cookbook

You're reading from  NumPy Cookbook

Product type Book
Published in Oct 2012
Publisher Packt
ISBN-13 9781849518925
Pages 226 pages
Edition 1st Edition
Languages

Table of Contents (17) Chapters

NumPy Cookbook
Credits
About the Author
About the Reviewers
www.PacktPub.com
Preface
1. Winding Along with IPython 2. Advanced Indexing and Array Concepts 3. Get to Grips with Commonly Used Functions 4. Connecting NumPy with the Rest of the World 5. Audio and Image Processing 6. Special Arrays and Universal Functions 7. Profiling and Debugging 8. Quality Assurance 9. Speed Up Code with Cython 10. Fun with Scikits Index

Discovering a power law


For the purpose of this recipe, imagine that we are operating a Hedge Fund. Let it sink in; you are part of the one percent now!

Power laws occur in a lot of places, see http://en.wikipedia.org/wiki/Power_law for more information. The Pareto principle (http://en.wikipedia.org/wiki/Pareto_principle) for instance, which is a power law, states that wealth is unevenly distributed. This principle tells us that if we group people by their wealth, the size of the groups will vary exponentially. To put it simply, there are not a lot of rich people, and there are even less billionaires; hence the one percent.

Assume that there is a power law in the closing stock prices log returns. This is a big assumption, of course, but power law assumptions seem to pop up all over the place.

We don't want to trade too often, because of involved transaction costs per trade. Let's say that we would prefer to buy and sell once a month based on a significant correction (in other words a big drop...

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