基于风险中性矩的仿射期权定价模型估计

Risk‐neutral moment‐based estimation of affine option pricing models

Journal of Applied Econometrics · 2018
被引 27
人大 AABS 3

中文导读

提出一种利用风险中性矩估计期权定价模型的新方法,通过期权价格面板提取分布并利用仿射随机波动率框架中的线性关系,有效捕捉期权价格信息,降低计算负担。

Abstract

Summary This paper provides a novel methodology for estimating option pricing models based on risk‐neutral moments. We synthesize the distribution extracted from a panel of option prices and exploit linear relationships between risk‐neutral cumulants and latent factors within the continuous time affine stochastic volatility framework. We find that fitting the Andersen et al. ( Journal of Financial Economics , 2015, 117 (3), 558–584) option valuation model to risk‐neutral moments captures the bulk of the information in option prices. Our estimation strategy is effective, easy to implement, and robust, as it allows for a direct linear filtering of the latent factors and a quasi‐maximum likelihood estimation of model parameters. From a practical perspective, employing risk‐neutral moments instead of option prices also helps circumvent several sources of numerical errors and substantially lessens the computational burden inherent in working with a large panel of option contracts.

风险中性矩仿射期权定价随机波动率准极大似然估计