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Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets

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  • Ledenyov, Dimitri O.
  • Ledenyov, Viktor O.

Abstract

The accurate forecast of the foreign currencies exchange rates at the ultra high frequency electronic trading in the foreign currencies exchange markets is a main topic of our research: 1) the present state of the foreign currencies exchange markets in Asia, Europe and North America; 2) the research review on the classic forecast techniques of the foreign currencies exchange rates dynamics in the foreign currencies exchange markets in the classic finances theory; 3) the description on the quantum forecast techniques of the foreign currencies exchange rates dynamics in the foreign currencies exchange markets with the application of both the wave function and the time dependent / time independent wave equation in the quantum finances theory; 4) the derivation of the time dependent / time independent wave equation in the quantum finances theory; 5) the creation of the quantum system state prediction algorithm, based on both the wave function and the time dependent / time independent wave equation in the quantum finances theory; 6) the discussion on the developed software program with the embedded quantum system state prediction algorithm, using both the wave function and the time dependent / time independent wave equation in the quantum finances theory; 7) the final words on the perspectives of the quantum forecast techniques of the foreign currencies exchange rates dynamics in the foreign currencies exchange markets, applying both the wave function and the time dependent / time independent wave equation in the quantum finances theory.

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  • Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:67470
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    Keywords

    ultra high frequency electronic trading; foreign currencies exchange rates; foreign currencies exchange markets; vehicle currency; interest rate; retail aggregator; liquidity aggregator; interdealer trade orders flow direction; stop-loss order; bid - ask spreads; price discovery process; capital inflow; capital outflow; carry trade strategy; financial liquidity; FX market micro structure; FX rate dynamics; absorption/diffusion/transmission of information; information theory; asymmetric information; autoregressive conditional heteroskedasticity; Wiener filtering theory; Stratanovich-Kalman-Bucy filtering algorithm / filter; particle filter; quantum system state prediction algorithm with wave function; time dependent / time independent wave equation; nonlinearities; artificial intelligence; Ledenyov strategy search algorithm; econophysics; econometrics; global foreign exchange market; global capital market; wealth management.;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C58 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Financial Econometrics
    • G0 - Financial Economics - - General
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G17 - Financial Economics - - General Financial Markets - - - Financial Forecasting and Simulation
    • G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage

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