A quantum mechanical model for the rate of return

Liviu-Adrian Cotfas

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Abstract: In their activity, the traders approximate the rate of return by integer multiples of a minimal one. Therefore, it can be regarded as a quantized variable. On the other hand, there is the impossibility of observing the rate of return and its instantaneous forward time derivative, even if we consider it as a continuous variable. We present a quantum model for the rate of return based on the mathematical formalism used in the case of quantum systems with finite-dimensional Hilbert space. The rate of return is described by a discrete wave function and its time evolution by a Schodinger type equation.

Date: 2012-11
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Published in Romanian Reports in Physics 65 (2013) 327-333

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Persistent link: https://EconPapers.repec.org/RePEc:arx:papers:1211.1938

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