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PATTERNS OF 50 ETF OPTIONS IMPLIED VOLATILITY IN CHINA: ON IMPLIED VOLATILITY FUNCTIONS

Pengshi Li, Yan Lin, Yuting Zhong

The implied volatilities are prospective estimates which reflect future expectations about underlying asset volatility. The implied volatility can be seen as the market participants’ assessment of the uncertainty of the underlying asset. Implied volatilities are obtained by matching a set of market option prices with given strike price and time to maturity to those produced by Black-Scholes-Merton model (BSM model) using the same strike price and time to maturity. When the implied volatilities are plotted against various strike prices or different moneyness, one can obtain the implied volatility smile curve, while the pattern of implied volatilities across time to expiration is usually referred to as the term structure of implied volatilities.
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