Equilibrium state of a financial instrument/market All financial instrument(s) or markets have local or global equilibrium states. For example, if S(t) represents the value of a financial asset, S , at time t and the expectation, E(S(t)) , of the stochastic process, S(t), is finite then the financial instrument, S, has a global equilibrium state. There is a number that S(t) will return to, infinitely often. The problem of finding a local equilibrium state is more difficult and we have found a way around this difficult problem. Well, the price of a financial asset depends on momentum and no one can really control when people buy or sell a particular asset. However, we can estimate, very well, where local equilibrium states of a number of assets are. Once we determine that is the closest local equilibrium state of a given financial asset currently, it means that within some finite time period, which can be estimated quite well, the price of the financial asset will have to return to the state , all others things remaining fairly normal. For example, if EURUSD -0.04% 0.44% 0.03% 0.01% 0.51% -0.06% is currently at 1.2134 and 1.2000 is a local recurrent state for EURUSD -0.04% 0.44% 0.03% 0.01% 0.51% -0.06% then, usually within a week, EURUSD -0.04% 0.44% 0.03% 0.01% 0.51% -0.06% is expected to return to 1.2000. The amount of pips EURUSD -0.04% 0.44% 0.03% 0.01% 0.51% -0.06% can deviate from 1.2000, in the extreme, is about 300. Therefore, EURUSD -0.04% 0.44% 0.03% 0.01% 0.51% -0.06% will stay away from 1.2000, bounded within 300 pips interval, before eventually returning to 1.2000. Since 1.2000 is fixed, we do not have problems associated with other mean-reversion techniques.
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