Geometric Brownian Motion (GBM) & Itô's Lemma
A common assumption in financial markets is that an asset's price follows a Geometric Brownian Motion (GBM). The GBM model assumes the asset price, denoted by \(S_t\), follows the following SDE:
$$dS_t = \mu S_t dt + \sigma S_tdW_t$$$$\frac{dS_t}{S_t...
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