In this article, an analytical approach to American option pricing under stochastic volatility is provided. Under stochastic volatility, the American option value can be computed as the sum of a corresponding European option price and an early exercise premium. By considering the analytical property
Volatility options: Hedging effectiveness, pricing, and model error
β Scribed by Dimitris Psychoyios; George Skiadopoulos
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 190 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0270-7314
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
Motivated by the growing literature on volatility options and their imminent introduction in major exchanges, this article addresses two issues. First, the question of whether volatility options are superior to standard options in terms of hedging volatility risk is examined. Second, the comparative pricing and hedging performance of various volatility option pricing models in the presence of model error is investigated. Monte Carlo simulations within a stochastic volatility setup are employed to address these questions. Alternative dynamic hedging schemes are compared, and various optionβpricing models are considered. It is found that volatility options are not better hedging instruments than plainβvanilla options. Furthermore, the most naΓ―ve volatility optionβpricing model can be reliably used for pricing and hedging purposes. Β© 2006 Wiley Periodicals, Inc. Jrl Fut Mark 26:1β31, 2006
π SIMILAR VOLUMES
The article investigates how sensitive different dynamic and static hedge strategies for barrier options are to model risk. It is found that using plainvanilla options to hedge offers considerable improvements over usual β¬ hedges. Further, it is shown that the hedge portfolios involving options are
This article is the first attempt to test empirically a numerical solution to price American options under stochastic volatility. The model allows for a mean-reverting stochastic-volatility process with non-zero risk premium for the volatility risk and correlation with the underlying process. A gene
We develop a general model to price VIX futures contracts. The model is adapted to test both the constant elasticity of variance (CEV) and the Cox-Ingersoll-Ross formulations, with and without jumps. Empirical tests on VIX futures prices provide out-of-sample estimates within 2% of the actual future
## Abstract In this article, we study the empirical performance of the GARCH option pricing model relative to the ad hoc BlackβScholes (BS) model of Dumas, Fleming, and Whaley. Specifically, we investigate the empirical performance of the option pricing model based on the exponential GARCH (EGARCH)