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Relativistic Black-Scholes model

by Maciej Trzetrzelewski
"... Black-Scholes equation, after a certain coordinate transformation, is equivalent to the heat equation. On the other hand the relativistic extension of the latter, the telegraphers equation, can be derived from the Euclidean version of the Dirac equation. Therefore the relativistic extension of the B ..."
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of the Black-Scholes model follows from relativistic quantum mechanics quite naturally. We investigate this particular model for the case of European vanilla options. Due to the notion of locality incorporated in this way one finds that the volatility frown-like effect appears when comparing to the original

the Black–Scholes model

by Vladimir Vovk , 2011
"... iv ..."
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Contents What is Black-Scholes?.............................. 1 The Classical Black-Scholes Model....................... 1

by Saurav Sen , 2000
"... Some Useful Background Mathematics..................... 1 Assumptions in the Classical Black-Scholes Model............... 5 ..."
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Some Useful Background Mathematics..................... 1 Assumptions in the Classical Black-Scholes Model............... 5

Risk Premium Impact in the Perturbative Black Scholes Model

by Luca Regis, Simone Scotti , 2008
"... We study the risk premium impact in the Perturbative Black Scholes model. The Perturbative Black Scholes model, developed by Scotti, is a subjective volatility model based on the classical Black Scholes one, where the volatility used by the trader is an estimation of the market one and contains meas ..."
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We study the risk premium impact in the Perturbative Black Scholes model. The Perturbative Black Scholes model, developed by Scotti, is a subjective volatility model based on the classical Black Scholes one, where the volatility used by the trader is an estimation of the market one and contains

The binomial Black-Scholes model and the greeks

by San-lin Chung, Mark Shackleton - The Journal of Futures Markets , 2002
"... This article returns to the choice of method for calculating option hedge ratios discussed by Pelsser and Vorst (1994). Where they demonstrated that numerical differentiation of a binomial model compared poorly to their design of an extended tree, this study shows that the Binomial Black–Scholes met ..."
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This article returns to the choice of method for calculating option hedge ratios discussed by Pelsser and Vorst (1994). Where they demonstrated that numerical differentiation of a binomial model compared poorly to their design of an extended tree, this study shows that the Binomial Black–Scholes

Black–scholes model under subordination

by A. A. Stanislavsky - Physica A , 2003
"... iv ..."
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in a Black-Scholes model with delay

by Markus Riedle, Catherine Swords, Catherine Swords, Markus Riedle , 2010
"... United Kingdom This paper studies the asymptotic behaviour of an affine stochastic functional differential equation modelling the evolution of the cumulative return of a risky security. In the model, the traders of the security determine their investment strategy by comparing short – and long–run mo ..."
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United Kingdom This paper studies the asymptotic behaviour of an affine stochastic functional differential equation modelling the evolution of the cumulative return of a risky security. In the model, the traders of the security determine their investment strategy by comparing short – and long

Analysis of Nonlinear Black Scholes Models

by C© Yan Qiu, Yan Qiu
"... iii ..."
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Degree of mispricing with the Black–Scholes model and nonparametric cures

by Ramazan Gençay, Aslihan Salih - Ann. Econom. Finance , 2003
"... Black-Scholes pricing errors are larger in the deeper out-of-the-money options relative to the near out-of-the-money options, and mispricing worsens with increased volatility. Our results indicate that the Black-Scholes model is not the proper pricing tool in high volatility situations especially fo ..."
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Black-Scholes pricing errors are larger in the deeper out-of-the-money options relative to the near out-of-the-money options, and mispricing worsens with increased volatility. Our results indicate that the Black-Scholes model is not the proper pricing tool in high volatility situations especially

Local volatility changes in the Black-Scholes model

by Hans-Peter Bermin, Arturo Kohatsu-Higa , 1999
"... In this paper we address a problem arising in risk management; namely the study of price variations of di#erent contingent claims in the Black-Scholes model due to anticipating future events. The method we propose to use is an extension of the classical Vega index, i.e. the price derivative with res ..."
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In this paper we address a problem arising in risk management; namely the study of price variations of di#erent contingent claims in the Black-Scholes model due to anticipating future events. The method we propose to use is an extension of the classical Vega index, i.e. the price derivative
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