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Portfolio of Volatility Smiles versus Volatility Surface: Implications for pricing and hedging options

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  • Sol Kim

Abstract

In this study, we compare the pricing and hedging performance of options‐pricing models using two parameter‐estimation methods to employ cross‐sectional options data with multiple maturities. In the Portfolio of Volatility Smiles method, each set of parameters that describe the individual volatility smile for each maturity is estimated separately. In the Volatility Surface method, a single‐parameter set that describes the entire volatility surface is estimated, regardless of the time‐to‐maturity. When pricing and hedging options with various times to maturity, the Portfolio of Volatility Smiles method generally outperforms the Volatility Surface method, irrespective of the option‐pricing model used, maturity, and moneyness. Considering the volatility smile individually at each maturity is more effective in pricing and hedging options than is considering the volatility surface simultaneously.

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  • Sol Kim, 2021. "Portfolio of Volatility Smiles versus Volatility Surface: Implications for pricing and hedging options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(7), pages 1154-1176, July.
    • Handle: RePEc:wly:jfutmk:v:41:y:2021:i:7:p:1154-1176
    DOI: 10.1002/fut.22213
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    1. Sudarshan Kumar & Sobhesh Kumar Agarwalla & Jayanth R. Varma & Vineet Virmani, 2023. "Harvesting the volatility smile in a large emerging market: A Dynamic Nelson–Siegel approach," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 43(11), pages 1615-1644, November.

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