R-2GAM stochastic volatility model: flexibility and calibration

R-2GAM stochastic volatility model: flexibility and calibration This paper investigates the potential of the 2GAM stochastic volatility model for capturing varying properties of option prices represented by the implied volatility surface. The 2GAM model is shown to be a generalization of the Heston model. Then, taking the original Heston model as the benchmark, the paper explores the flexibility allowed by the 2GAM model. More precisely, the focus is on the restricted 2GAM (R-2GAM) model which builds upon the Heston model reproducing a given short-term implied volatility skew. Going from theory to practice, the paper suggests a numerically-feasible calibration procedure for the R-2GAM model. In an application to the valuation of the S&P 500 option contracts this paper addresses the challenges of calibrating the R-2GAM model to market prices and raises concerns of possible over-parameterization. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Review of Quantitative Finance and Accounting Springer Journals

R-2GAM stochastic volatility model: flexibility and calibration

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Publisher
Springer Journals
Copyright
Copyright © 2014 by Springer Science+Business Media New York
Subject
Economics / Management Science; Finance/Investment/Banking; Accounting/Auditing; Econometrics; Operations Research/Decision Theory
ISSN
0924-865X
eISSN
1573-7179
D.O.I.
10.1007/s11156-014-0443-7
Publisher site
See Article on Publisher Site

Abstract

This paper investigates the potential of the 2GAM stochastic volatility model for capturing varying properties of option prices represented by the implied volatility surface. The 2GAM model is shown to be a generalization of the Heston model. Then, taking the original Heston model as the benchmark, the paper explores the flexibility allowed by the 2GAM model. More precisely, the focus is on the restricted 2GAM (R-2GAM) model which builds upon the Heston model reproducing a given short-term implied volatility skew. Going from theory to practice, the paper suggests a numerically-feasible calibration procedure for the R-2GAM model. In an application to the valuation of the S&P 500 option contracts this paper addresses the challenges of calibrating the R-2GAM model to market prices and raises concerns of possible over-parameterization.

Journal

Review of Quantitative Finance and AccountingSpringer Journals

Published: Apr 5, 2014

References

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