Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2001-11-28
Physics
Condensed Matter
Statistical Mechanics
12 pages, 4 figures, revtex
Scientific paper
10.1209/epl/i2002-00135-4
Diversification of an investment into independently fluctuating assets reduces its risk. In reality, movement of assets are are mutually correlated and therefore knowledge of cross--correlations among asset price movements are of great importance. Our results support the possibility that the problem of finding an investment in stocks which exposes invested funds to a minimum level of risk is analogous to the problem of finding the magnetization of a random magnet. The interactions for this ``random magnet problem'' are given by the cross-correlation matrix {\bf \sf C} of stock returns. We find that random matrix theory allows us to make an estimate for {\bf \sf C} which outperforms the standard estimate in terms of constructing an investment which carries a minimum level of risk.
Gopikrishnan Parameswaran
Plerou Vasiliki
Rosenow Bernd
Stanley Eugene H.
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