Exact solution of a generalized version of the Black-Scholes equation

We analyze a generalized version of the Black-Scholes equation depending on a parameter $a\!\in \!(-\infty,0)$. It satisfies the martingale condition and coincides with the Black-Scholes equation in the limit case $a\nearrow 0$. We show that the generalized equation is exactly solvable in terms of Hermite polynomials and numerically compare its solution with the solution of the Black-Scholes equation.

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Year of publication:	2014-11
Authors:	Cotfas, Liviu-Adrian ; Delcea, Camelia ; Cotfas, Nicolae
Institutions:	arXiv.org

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Extent:	application/pdf
Series:	Papers.
Type of publication:	Book / Working Paper
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010960628