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Statistical mechanics of financial markets: Exponential modifications to Black-Scholes

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  • L. Ingber & J.K. Wilson, 2000. "Statistical mechanics of financial markets: Exponential modifications to Black-Scholes," Lester Ingber Papers 00fm, Lester Ingber.
    • Handle: RePEc:lei:ingber:00fm
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    References listed on IDEAS

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    2. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    3. L. Ingber & P.L. Nunez, 1995. "Statistical mechanics of neocortical interactions: High resolution path-integral calculation of short-term memory," Lester Ingber Papers 95ni, Lester Ingber.
    4. L. Ingber, 1995. "Path-integral evolution of multivariate systems with moderate noise," Lester Ingber Papers 95pe, Lester Ingber.
    5. Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
    6. L. Ingber & R. Srinivasan & P.L. Nunez, 1996. "Path-integral evolution of chaos embedded in noise: Duffing neocortical analog," Lester Ingber Papers 96pi, Lester Ingber.
    7. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 2000. "Pricing and hedging long-term options," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 277-318.
    8. Wilmott,Paul & Howison,Sam & Dewynne,Jeff, 1995. "The Mathematics of Financial Derivatives," Cambridge Books, Cambridge University Press, number 9780521497893, September.
    9. Mandelbrot, Benoit B, 1971. "When Can Price Be Arbitraged Efficiently? A Limit to the Validity of the Random Walk and Martingale Models," The Review of Economics and Statistics, MIT Press, vol. 53(3), pages 225-236, August.
    10. L. Ingber, 1985. "Statistical mechanics of neocortical interactions: Stability and duration of the 7+-2 rule of short-term-memory capacity," Lester Ingber Papers 85st, Lester Ingber.
    11. L. Ingber & M.F. Wehner & G.M. Jabbour & T.M. Barnhill, 1991. "Application of statistical mechanics methodology to term-structure bond-pricing models," Lester Ingber Papers 91as, Lester Ingber.
    12. L. Ingber, 1984. "Statistical mechanics of nonlinear nonequilibrium financial markets," Lester Ingber Papers 84nn, Lester Ingber.
    13. Jackwerth, Jens Carsten, 2000. "Recovering Risk Aversion from Option Prices and Realized Returns," The Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 433-451.
    14. L. Ingber & B. Rosen, 1992. "Genetic algorithms and very fast simulated reannealing: A comparison," Lester Ingber Papers 92ga, Lester Ingber.
    15. L. Ingber, 1993. "Adaptive Simulated Annealing (ASA)," Lester Ingber Software asa, Lester Ingber.
    16. L. Ingber, 1986. "Statistical mechanics of neocortical interactions," Lester Ingber Papers 86ni, Lester Ingber.
    17. L. Ingber, 1999. "A simple options training model," Lester Ingber Papers 99so, Lester Ingber.
    18. L. Ingber, 1996. "Canonical momenta indicators of financial markets and neocortical EEG," Lester Ingber Papers 96cm, Lester Ingber.
    19. L. Ingber, 1998. "Data mining and knowledge discovery via statistical mechanics in nonlinear stochastic systems," Lester Ingber Papers 98dm, Lester Ingber.
    20. L. Ingber & J.K. Wilson, 1999. "Volatility of volatility of financial markets," Lester Ingber Papers 99vv, Lester Ingber.
    21. L. Ingber & H. Fujio & M.F. Wehner, 1991. "Mathematical comparison of combat computer models to exercise data," Lester Ingber Papers 91mc, Lester Ingber.
    22. L. Ingber, 1996. "Adaptive simulated annealing (ASA): Lessons learned," Lester Ingber Papers 96as, Lester Ingber.
    23. Taylor, Stephen J., 1982. "Tests of the Random Walk Hypothesis Against a Price-Trend Hypothesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 17(1), pages 37-61, March.
    24. L. Ingber, 1991. "Statistical mechanics of neocortical interactions: A scaling paradigm applied to electroencephalography," Lester Ingber Papers 91ni, Lester Ingber.
    25. L. Ingber, 1993. "Simulated annealing: Practice versus theory," Lester Ingber Papers 93sa, Lester Ingber.
    26. L. Ingber, 1994. "Statistical mechanics of neocortical interactions: Path-integral evolution of short-term memory," Lester Ingber Papers 94ni, Lester Ingber.
    27. L. Ingber, 1998. "Some Applications of Statistical Mechanics of Financial Markets," Lester Ingber Papers 98sa, Lester Ingber.
    28. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    29. Jensen, Michael C., 1978. "Some anomalous evidence regarding market efficiency," Journal of Financial Economics, Elsevier, vol. 6(2-3), pages 95-101.
    30. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
    31. L. Ingber, 1989. "Very fast simulated re-annealing," Lester Ingber Papers 89vf, Lester Ingber.
    32. Brown, Philip & Kleidon, Allan W. & Marsh, Terry A., 1983. "New evidence on the nature of size-related anomalies in stock prices," Journal of Financial Economics, Elsevier, vol. 12(1), pages 33-56, June.
    33. L. Ingber, 1996. "Statistical mechanics of nonlinear nonequilibrium financial markets: Applications to optimized trading," Lester Ingber Papers 96nf, Lester Ingber.
    34. Mayer, D. G. & Belward, J. A. & Burrage, K., 1996. "Use of advanced techniques to optimize a multi-dimensional dairy model," Agricultural Systems, Elsevier, vol. 50(3), pages 239-253.
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    Cited by:

    1. L. Ingber, 2018. "Quantum path integral for financial options," Lester Ingber Papers 18qp, Lester Ingber.
    2. L. Ingber, 2018. "Quantum Variables in Finance and Neuroscience," Lester Ingber Papers 18qv, Lester Ingber.
    3. Lester Ingber, 2020. "Developing Bid-Ask Probabilities for High-Frequency Trading," Virtual Economics, The London Academy of Science and Business, vol. 3(2), pages 7-24, April.
    4. Ingber, Lester, 2000. "High-resolution path-integral development of financial options," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 283(3), pages 529-558.
    5. L. Ingber, 2022. "Quantum Variables in Finance," Lester Ingber Papers 22qv, Lester Ingber.
    6. L. Ingber, 2018. "Quantum calcium-ion interactions with EEG," Lester Ingber Papers 18qc, Lester Ingber.
    7. L. Ingber, 2020. "Forecasting with importance-sampling and path-integrals: Applications to COVID-19," Lester Ingber Papers 20fi, Lester Ingber.
    8. F. Parpinel & C. Pizzi, 2002. "Iterative estimation procedure for option pricing with stochastic volatility models," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(1-2), pages 211-223.
    9. L. Ingber, 2021. "Hybrid classical-quantum computing: Applications to statistical mechanics of financial markets," Lester Ingber Papers 21cq, Lester Ingber.
    10. L. Ingber, 2021. "Hybrid classical-quantum computing: Applications to statistical mechanics of neocortical interactions," Lester Ingber Papers 21hc, Lester Ingber.

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    16. L. Ingber & R. Srinivasan & P.L. Nunez, 1996. "Path-integral evolution of chaos embedded in noise: Duffing neocortical analog," Lester Ingber Papers 96pi, Lester Ingber.
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    18. L. Ingber, 1996. "Adaptive simulated annealing (ASA): Lessons learned," Lester Ingber Papers 96as, Lester Ingber.
    19. L. Ingber, 2021. "Hybrid classical-quantum computing: Applications to statistical mechanics of neocortical interactions," Lester Ingber Papers 21hc, Lester Ingber.
    20. L. Ingber, 1994. "Statistical mechanics of neocortical interactions: Path-integral evolution of short-term memory," Lester Ingber Papers 94ni, Lester Ingber.

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