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Persistence in financial markets
Authors:S. Jain  P. Buckley
Affiliation:(1) Information Engineering, The Neural Computing Research Group, School of Engineering and Applied Science, Aston University, Birmingham, B4 7ET, UK
Abstract:Persistence is studied in a financial context by mapping the time evolution of the values of the shares quoted on the London Financial Times Stock Exchange 100 index (FTSE 100) onto Ising spins. By following the time dependence of the spins, we find evidence for power law decay of the proportion of shares that remain either above or below their 'starting' values. As a result, we estimate a persistence exponent for the underlying financial market to be θf∼0.5.
Keywords:05.20.-y Classical statistical mechanics  05.50.+q Lattice theory and statistics (Ising, Potts, etc.)  75.10.Hk Classical spin models  75.40.Mg Numerical simulation studies
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