Empirical Option Pricing Models

Empirical Option Pricing Models
Author: David S. Bates
Publisher:
Total Pages:
Release: 2021
Genre: Economics
ISBN:

This paper is an overview of empirical options research, with primary emphasis on research into systematic stochastic volatility and jump risks relevant for pricing stock index options. The paper reviews evidence from time series analysis, option prices and option price evolution regarding those risks, and discusses required compensation.

A Time Series Approach to Option Pricing

A Time Series Approach to Option Pricing
Author: Christophe Chorro
Publisher: Springer
Total Pages: 202
Release: 2014-12-04
Genre: Business & Economics
ISBN: 3662450372

The current world financial scene indicates at an intertwined and interdependent relationship between financial market activity and economic health. This book explains how the economic messages delivered by the dynamic evolution of financial asset returns are strongly related to option prices. The Black Scholes framework is introduced and by underlining its shortcomings, an alternative approach is presented that has emerged over the past ten years of academic research, an approach that is much more grounded on a realistic statistical analysis of data rather than on ad hoc tractable continuous time option pricing models. The reader then learns what it takes to understand and implement these option pricing models based on time series analysis in a self-contained way. The discussion covers modeling choices available to the quantitative analyst, as well as the tools to decide upon a particular model based on the historical datasets of financial returns. The reader is then guided into numerical deduction of option prices from these models and illustrations with real examples are used to reflect the accuracy of the approach using datasets of options on equity indices.

Empirical Performance of Option Pricing Models with Stochastic Local Volatility

Empirical Performance of Option Pricing Models with Stochastic Local Volatility
Author: Greg Orosi
Publisher:
Total Pages: 16
Release: 2014
Genre:
ISBN:

We examine the empirical performance of several stochastic local volatility models that are the extensions of the Heston stochastic volatility model. Our results indicate that the stochastic volatility model with quadratic local volatility significantly outperforms the stochastic volatility model with CEV type local volatility. Moreover, we compare the performance of these models to several other benchmarks and find that the quadratic local volatility model compares well to the best performing option pricing models reported in the current literature for European-style S&P500 index options. Our results also indicate that the model with quadratic local volatility reproduces the characteristics of the implied volatility surface more accurately than the Heston model. Finally, we demonstrate that capturing the shape of the implied volatility surface is necessary to price binary options accurately.

Advanced Option Pricing Models

Advanced Option Pricing Models
Author: Jeffrey Owen Katz
Publisher: McGraw Hill Professional
Total Pages: 449
Release: 2005-03-21
Genre: Business & Economics
ISBN: 0071454705

Advanced Option Pricing Models details specific conditions under which current option pricing models fail to provide accurate price estimates and then shows option traders how to construct improved models for better pricing in a wider range of market conditions. Model-building steps cover options pricing under conditional or marginal distributions, using polynomial approximations and “curve fitting,” and compensating for mean reversion. The authors also develop effective prototype models that can be put to immediate use, with real-time examples of the models in action.

Empirical Performance of Levy Option Pricing Models

Empirical Performance of Levy Option Pricing Models
Author: Ming Ji
Publisher:
Total Pages:
Release: 2008
Genre:
ISBN:

There are a number of recent models that extend the Black and Scholes (1973) model by considering stochastic volatility and/or jumps, and appear to show good empirical performance. In this paper we consider some of the most successful models, all of them belonging to the class of Levy processes, and further study their empirical performance; in particular we consider their pricing performance for American options and their performance in terms of their put-call robustness; we find that their performance is good on the call side, but their put-call robustness gets lower scores than Black and Scholes (1973) with the possible exception of Carr, Geman, Madan and Yor (2002); we interpret our results as evidence of overfitting.