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© Kozminski University Investment Club “Kapitalni”
Modelling the alternative support and resistance levels with the
application of the linear regression
Wojciech Jakub Podobas
Kozminski University Investment Club “Kapitalni”
info@tradingalgorithms.pl
1. Abstract
The aim of the article is to model a new formula that can calculate price corridor using the linear
regression and standard deviation instead of the moving average. The research will check the
possible application of the linear regression into the place of the standard moving average. The
application of the linear regression instead of moving average and Bollinger Bands could give
a better and closer estimated data about price trend, due to the mathematical nature of the linear
regression that uses squares from variables instead of the normal arithmetical mean. The
application of the linear regression could create a good analytical background for investors to
omit jigsaws, bear and bull traps.
Research question: How does the linear regression could improve predicting the price
movement in the foreign exchange market?
2. Introduction and the background information
To understand properly the content of the work few concepts need to be implemented.
Key definitions
Financial instrument- Every asset that could be traded at the stock exchange
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EUR/USD- currency pair comparing price of Euro [EUR] to American Dollar [USD]
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Technical analysis- financial mathematics branch defining the price movement at the stock
exchange
Price trend- the main direction where the price of a financial instrument is going
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Moving average- the trend following technical analysis tool, the continuously changing mean
of the price of the financial instrument in the fixed number of time, for example MA20 relates
to the average price of the financial instrument in last 20 days
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Reuters-Report. (2001). Foreign currency market. New York: Reuters print. p.227
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Ibid., p.229
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Archelis S. (1998). Technical analysis from A to Z. New York: Irwin. p. 72
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Ibid., p. 15