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Portfolio of Volatility Smiles versus Volatility Surface: Implications for pricing and hedging options
Author(s) -
Kim Sol
Publication year - 2021
Publication title -
journal of futures markets
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.88
H-Index - 55
eISSN - 1096-9934
pISSN - 0270-7314
DOI - 10.1002/fut.22213
Subject(s) - implied volatility , volatility smile , volatility (finance) , forward volatility , stochastic volatility , portfolio , econometrics , volatility swap , economics , volatility risk premium , valuation of options , moneyness , variance swap , sabr volatility model , financial economics
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.