Abstract
This paper tries to argue why pilot-wave theory could be of use in financial economics. We introduce the notion of information wave. We consider a stochastic guidance equation and part of the drift term of that equation makes reference to the phase of the wave. In order to embed information in financial option pricing we could use such a drift. We also briefly argue how we could embed information in the pricing kernel of the option price.
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REFERENCES
Bacciagaluppi, G. (1999). Nelsonian mechanics revisited. Foundations of Physics Letters 12(1), 1–16.
Bohm, D. and Hiley, B. (1993). The Undivided Universe, Routledge, New York.
Bohm, D. (1987). Hidden variables and the implicate order. In Quantum Implications: Essays in Honour of David Bohm, B. Hiley and F. Peat, eds., Routledge, New York.
Black, F. and Scholes, M. (1973). The pricing of options and corporate liabilities. Journal of Political Economy 81, 637–659.
Bohm, D. (1952). A suggested interpretation of the quantum theory in terms of ‘hidden’ variables, Part I and II. Physical Review 85, 166–193.
Chang, C. and Chang, J. (1996). Option pricing with stochastic volatility: information-time vs. calendar-time. Management Science 42, 974–991.
Khrennikov, A. (1999). Interpretations of Probability, VSP International Publishers, Utrecht.
Khrennikov, A. (2000). Classical and quantum mechanics on p-adic trees of ideas. Biosystems 56, 95–120.
Khrennikov, A. (2003). Quantum psychological model of the stock market, Chap. 4–-General Issues in Management, International Center for Mathematical Modelling in Physics and Cognitive Science, University of V% äxjö, Sweden.
Nelson, E. (1966). Derivation of the Schrödinger equation from Newtonian mechanics. Physical Review 150, 1079–1085.
Ross, S. (1976). The arbitrage theory of capital asset pricing. Journal of Economic Theory 13, 341–360.
Shiller, R. (2000). Irrational Exuberance, Princeton University Press, Princeton, NJ.
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PACS: 03, 89.65.Gh.
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Haven, E. Pilot-Wave Theory and Financial Option Pricing. Int J Theor Phys 44, 1957–1962 (2005). https://doi.org/10.1007/s10773-005-8973-3
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DOI: https://doi.org/10.1007/s10773-005-8973-3