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Local Equivalence of the Black–Scholes and Merton–Garman Equations

It has been previously demonstrated that stochastic volatility emerges as the gauge field necessary to restore local symmetry under changes in stock prices in the Black–Scholes (BS) equation. When this occurs, a Merton–Garman-like equation emerges. From the perspective of manifolds, this means that...

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Autore principale: Ivan Arraut
Natura: Artigo
Lingua:Inglês
Pubblicazione: MDPI AG 2025-03-01
Serie:Axioms
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Accesso online:https://www.mdpi.com/2075-1680/14/3/215
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