Download This PaperA New Algorithm for Computing Implied Volatility
East-West Journal of Mathematics, Forthcoming
13 Pages Posted: 3 Jul 2011 Last revised: 15 Aug 2012
Date Written: July 13, 2011
Abstract
In this study, we simplified the Black-Scholes formula to a two-input version. This simplified formula presents a one-to-one relationship with one input given that the other input is fixed. With this simplified formula, we created an option-price data grid and showed that the implied volatility can be obtained by interpolation. This interpolation-based algorithm does not require iteration and has an adjustable accuracy, which is very useful in computing implied volatilities for a large number of options in a real-time environment.
Keywords: implied volatility, option pricing, Black-Scholes formula, European options
JEL Classification: G13, C63
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