哪种GARCH模型适合期权定价?

Which GARCH Model for Option Valuation?

Management Science · 2004
被引 289
人大 A+FT50UTD24ABS 4*

中文导读

比较多种GARCH模型在期权定价中的表现,发现基于期权价格的评价标准偏好一个仅包含波动聚集和标准杠杆效应的简洁模型。

Abstract

Characterizing asset return dynamics using volatility models is an important part of empirical finance. The existing literature on GARCH models favors some rather complex volatility specifications whose relative performance is usually assessed through their likelihood based on a time series of asset returns. This paper compares a range of GARCH models along a different dimension, using option prices and returns under the risk-neutral as well as the physical probability measure. We judge the relative performance of various models by evaluating an objective function based on option prices. In contrast with returns-based inference, we find that our option-based objective function favors a relatively parsimonious model. Specifically, when evaluated out-of-sample, our analysis favors a model that, besides volatility clustering, only allows for a standard leverage effect.

GARCH模型期权定价波动率模型杠杆效应