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An option is the right to buy or sell a good at a predetermined price in the future. For customers or financial companies, knowing an option’s pricing is crucial.
Sivaporn Ampun +2 more
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Relativistic Black-Scholes model [PDF]
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.
Trzetrzelewski, Maciej
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Starting in 1973 with publishing the paper The pricing of Options and Corporate Liabilities, Fischer Black and Myron Scholes made a revolution in the world of fnances.
Драган Јањић
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A modification term for Black-Scholes model based on discrepancy calibrated with real market data
The Black-Scholes option pricing model (B-S model) generally requires the assumption that the volatility of the underlying asset be a piecewise constant.
Xiaozheng Lin +2 more
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The Modified Black-Scholes Model via Constant Elasticity of Variance for Stock Options Valuation [PDF]
In this paper, the classical Black-Scholes option pricing model is visited. We present a modified version of the Black-Scholes model via the application of the constant elasticity of variance model (CEVM); in this case, the volatility of the stock ...
Edeki, S.O. +2 more
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Lie Symmetry Analysis of a First-Order Feedback Model of Option Pricing
A first-order feedback model of option pricing consisting of a coupled system of two PDEs, a nonliner generalised Black-Scholes equation and the classical Black-Scholes equation, is studied using Lie symmetry analysis.
Winter Sinkala, Tembinkosi F. Nkalashe
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Background Following a financial loss in trades due to lack of risk management in previous models from market practitioners, Fisher Black and Myron Scholes visited the academic setting and were able to mathematically develop an option pricing equation ...
Adedapo Ismaila Alaje +5 more
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Comparison: Binomial model and Black Scholes model
The Binomial Model and the Black Scholes Model are the popular methods that are used to solve the option pricing problems. Binomial Model is a simple statistical method and Black Scholes model requires a solution of a stochastic differential equation ...
Amir Ahmad Dar, N. Anuradha
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Capturing the volatility smile: parametric volatility models versus stochastic volatility models [PDF]
Black-Scholes option pricing model (1973) assumes that all option prices on the same underlying asset with the same expiration date, but different exercise prices should have the same implied volatility.
Belen Blanco
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A Non-Gaussian Option Pricing Model with Skew [PDF]
Closed form option pricing formulae explaining skew and smile are obtained within a parsimonious non-Gaussian framework. We extend the non-Gaussian option pricing model of L.
Borland, L., Bouchaud, J. P.
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