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

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초록

영어

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.

목차

Abstract
Abstract
1. Introduction
2. Option Pricing Models and Parameter Estimation Methods
2.1 The Ad-Hoc Black-Scholes Model
2.2 The Stochastic Volatility Option Pricing Model
2.3 The Portfolio of Volatility Smiles Method and the Volatility Surface Method
3. Data
4. Pricing and Hedging Performance
4.1 In-sample Pricing Performance
4.2 Out-of-sample Pricing Performance
4.3 Hedging Performance
5. Conclusion
References

저자정보

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

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