The black-Scholes formula and the Greek parameters for a nonlinear Black-Scholes equation
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/123456789/107https://www.researchgate.net/publication/268165756_The_black-Scholes_formula_and_the_Greek_parameters_for_a_nonlinear_Black-Scholes_equation
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