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Portfolio of Volatility Smiles vs. Volatility Surface : Implications for Pricing and Hedging Options

  • Sol Kim College of Business, Hankuk University of Foreign Studies
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 are 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.

  • Sol Kim
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 are 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.
Options,Volatility Smile,Volatility Surface,Ad Hoc Black Scholes Model,Stochastic Volatility