
doi: 10.2139/ssrn.584982
Hallerbach (2004) derives an approximation formula to compute a Black-Scholes implied volatility. This formula is equivalent to equation (7) in Corrado and Miller (1996a), with the substitution of a geometric average of stock and strike prices in place of an arithmetic average. Ceteris paribus the same numerical values are obtained. Although useful in a pedagogic setting, even with tweaking neither formula has the robustness typically required for commercial or research applications.
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