Derivation Of the Black-Scholes Equation (SDE)

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This video is part of the Quantitative Finance series.

The Black-Scholes model is one of the most basic models in derivative pricing in quantitative finance. There are a few ways to derive the Black-Scholes SDE. Here I'm following the original Black-Scholes argument and describe one derivation with portfolio replication.
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Thanks for the video. Concise and helpful. In r.h.s, there should be a negative sign in front of the result. When lhs=rhs, the negative sign should be also added to the right side of the equation. The final result is correct.

tjhou