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Management Sciences and Quantitative Methods

Technological University Dublin

Asset management

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Application Of The Fractional Diffusion Equation For Predicting Market Behaviour, Jonathan Blackledge Oct 2010

Application Of The Fractional Diffusion Equation For Predicting Market Behaviour, Jonathan Blackledge

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Most Financial modelling system rely on an underlying hypothesis known as the Eficient Market Hypothesi (EMH) including the famous BlackScholes formula for placing an option. However, the EMH has a fundamental flaw: it is based on the assumption that economic processes are normally distributed and it has long been known that this is not the case. This fundamental assumption leads to a number of shortcomings associated with using the EMH to analyse financial data which includes failure to predict the future volatility of a market share value. This paper introduces a new financial risk assessment model based on Levy statistics …