Quantum Neural Computation for Option Price Modelling
نویسنده
چکیده
We propose a new cognitive framework for option price modelling, using quantum neural computation formalism. Briefly, when we apply a classical nonlinear neuralnetwork learning to a linear quantum Schrödinger equation, as a result we get a nonlinear Schrödinger equation (NLS), performing as a quantum stochastic filter. In this paper, we present a bidirectional quantum associative memory model for the Black–Scholes–like option price evolution, consisting of a pair of coupled NLS equations, one governing the stochastic volatility and the other governing the option price, both self-organizing in an adaptive ‘market heat potential’, trained by continuous Hebbian learning. This stiff pair of NLS equations is numerically solved using the method of lines with adaptive step-size integrator.
منابع مشابه
Stock Price Prediction Using Quantum Neural Network
Quantum Neural Network (QNN) can improve upon the inadequacies of the classical neural network (CNN). The CNN requires a huge memory and needs more computational power. A new field of computation is emerging which integrates quantum computation with CNN. A quantum inspired hybrid model of quantum neurons and classical neurons is proposed. This paper details an approach, perhaps the first attemp...
متن کاملMulti-Step-Ahead Prediction of Stock Price Using a New Architecture of Neural Networks
Modelling and forecasting Stock market is a challenging task for economists and engineers since it has a dynamic structure and nonlinear characteristic. This nonlinearity affects the efficiency of the price characteristics. Using an Artificial Neural Network (ANN) is a proper way to model this nonlinearity and it has been used successfully in one-step-ahead and multi-step-ahead prediction of di...
متن کاملClosed formulas for the price and sensitivities of European options under a double exponential jump diffusion model
We derive closed formulas for the prices of European options andtheir sensitivities when the underlying asset follows a double-exponentialjump diffusion model, as considered by S. Kou in 2002. This author hasderived the option price by making use of double series where each termrequires the computation of a sequence of special functions, such thatthe implementation remains difficult for a large...
متن کاملFinancial Market Modeling with Quantum Neural Networks
Econophysics has developed as a research field that applies the formalism of Statistical Mechanics and Quantum Mechanics to address Economics and Finance problems. The branch of Econophysics that applies of Quantum Theory to Economics and Finance is called Quantum Econophysics. In Finance, Quantum Econophysics’ contributions have ranged from option pricing to market dynamics modeling, behaviora...
متن کاملThe impact of P/E ratio and price return on the stock market Bohmian quantum potential approach
Price return and P/E are two important factors for a lot of investors based on the latest studies by researchers in Tehran Stock market; however, it is expected that the price and the variation of that affect the return and the P/E of any given market as a complicated system. The Bohmian quantum mechanics used referring to the time correlation of return and P/E of the stock market under conside...
متن کامل