{ "id": "cond-mat/0210090", "version": "v1", "published": "2002-10-04T05:06:40.000Z", "updated": "2002-10-04T05:06:40.000Z", "title": "Dynamical model of financial markets: fluctuating `temperature' causes intermittent behavior of price changes", "authors": [ "Naoki Kozuki", "Nobuko Fuchikami" ], "comment": "9 pages including 2 figures", "doi": "10.1016/S0378-4371(03)00592-2", "categories": [ "cond-mat.stat-mech", "q-fin.ST" ], "abstract": "We present a model of financial markets originally proposed for a turbulent flow, as a dynamic basis of its intermittent behavior. Time evolution of the price change is assumed to be described by Brownian motion in a power-law potential, where the `temperature' fluctuates slowly. The model generally yields a fat-tailed distribution of the price change. Specifically a Tsallis distribution is obtained if the inverse temperature is $\\chi^{2}$-distributed, which qualitatively agrees with intraday data of foreign exchange market. The so-called `volatility', a quantity indicating the risk or activity in financial markets, corresponds to the temperature of markets and its fluctuation leads to intermittency.", "revisions": [ { "version": "v1", "updated": "2002-10-04T05:06:40.000Z" } ], "analyses": { "keywords": [ "financial markets", "price change", "intermittent behavior", "dynamical model", "foreign exchange market" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 9, "language": "en", "license": "arXiv", "status": "editable" } } }