Alexey Medvedev (PhD student, Swiss Finance Institute and University of Geneva)
Abstract
The main result of the paper is a formula for zero time-to-maturity limit of implied volatilities of European options under a broad class of stochastic volatility models. Based on this formula, we propose a closed-form approximation of the implied volatility smile. Numerical examples suggest that our approximation is accurate in the absence of mean-reversion in stochastic volatility.
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