Supplementary Material of On the Estimation of Jump-Diffusion Models Using Intraday Data: A Filtering-Based Approach

Jean‐François Bégin, Diego Amaya, Geneviève Gauthier, Marie-Ève Malette
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Abstract

We adopt a flexible filtering procedure to extract information from high-frequency data. Specifically, we provide a parsimonious framework to integrate realized measures from high frequency index and derivative prices. In a simulation study, we document the incremental information offered by realized measures and show that even though high-frequency index prices help identify spot variance and jump price dynamics, it is the addition of high-frequency option prices that enables variance jumps to be identified. A series of empirical studies based on the S&P 500 index and options show that estimation precision improves with the addition of information from intraday option prices.
利用日内数据估计跳跃扩散模型:一种基于滤波的方法
我们采用一种灵活的滤波方法从高频数据中提取信息。具体来说,我们提供了一个简洁的框架来整合高频指数和衍生品价格的实现措施。在一项模拟研究中,我们记录了已实现指标提供的增量信息,并表明即使高频指数价格有助于识别现货方差和跳跃价格动态,但高频期权价格的加入使方差跳跃得以识别。一系列基于标准普尔500指数和期权的实证研究表明,随着日内期权价格信息的加入,估计精度有所提高。
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