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    The black-Scholes formula and the Greek parameters for a nonlinear Black-Scholes equation

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    PURE AND APPLIED (3).pdf (121.4Kb)
    Date
    2016
    Author
    Esekon, Joseph E
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    Abstract
    We study the Greek (risk) parameters of a nonlinear Black-Scholes partial differential equation whose nonlinearity is as a result of transaction costs. These parameters are derived from the Black-Scholes formula of the nonlinear Black-Scholes equation ut + 1 2 2s2uss(1 + 2 suss) = 0 by differentiating the formula with respect to either a variable or a parameter in the equation. The Black-Scholes formula and all the Greek parameters are of the form 1 f(s, t) and therefore they blow at = 0.
    URI
    http://hdl.handle.net/123456789/107
    https://www.researchgate.net/publication/268165756_The_black-Scholes_formula_and_the_Greek_parameters_for_a_nonlinear_Black-Scholes_equation
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    • Journal Articles (PAS) [273]

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