ARMA-GARCH

  • 详情 基于ARMA-GARCH调和稳态Levy过程的期权定价
    对恒生指数收益率进行自相关和条件异方差分析,剥离出平稳独立同分布的历史滤波噪音序列。假设噪音服从正态,及两类纯跳跃列维过程—调和稳态(CTS)、速降调和稳态(RDTS),以建立风险中性条件Levy-GARCH模型进行期权定价。研究结果表明:噪音序列呈现尖峰有偏和肥尾的非高斯特征;调和稳态拟合与定价能力较正态好;资产价格存在跳跃速降趋势;布朗运动低估了金融市场震荡程度;速降调和稳态过程定价能力更加稳健。
  • 详情 Volatility Spillovers from the Chinese Stock Market to Economic Neighbours
    This paper examines whether there is evidence of spillovers of volatility from the Chinese stock market to its neighbours and trading partners, including Australia, Hong Kong, Singapore, Japan and USA. China's increasing integration into the global market may have important consequences for investors in related markets. In order to capture these potential eects, we explore these issues using an Autoregressive Moving Average (ARMA) return equation. A univariate GARCH model is then adopted to test for the persistence of volatility in stock market returns, as represented by stock market indices. Finally, univariate GARCH, multivariate VARMA-GARCH, and multivariate VARMA-AGARCH models are used to test for constant conditional correlations and volatility spillover eects across these markets. Each model is used to calculate the conditional volatility between both the Shenzhen and Shanghai Chinese markets and several other markets around the Pacic Basin Area, including Australia, Hong Kong, Japan, Taiwan and Singapore, during four distinct periods, beginning 27 August 1991 and ending 17 November 2010. The empirical results show some evidence of volatility spillovers across these markets in the pre-GFC periods, but there is little evidence of spillover eects from China to related markets during the GFC. This is presumably because the GFC was initially a US phenomenon, before spreading to developed markets around the globe, so that it was not a Chinese phenomenon.
  • 详情 外汇市场的协同波动与联合干预
    本文以ARMA-GARCH、GARCH-M及EGARCH模型检验中国、日本及韩国1997年1月至2010年9月的实际汇率波动,及是否存在风险溢价和杠杆效应,发现中国汇率波动最为平稳,而韩国汇率波动最大,并且存在显著的风险溢价和杠杆效应。我们另外考量了央行干预对汇率波动的影响,发现日本央行干预最为有效,而韓國央行干预最为无效。此外,我们以BEKK-MGARCH模型检验中日韩三国的汇率协同波动现象,发现中日韩三国之间的汇率皆具有正向协同波动关系,而以日韩的协同波动持续性最为显著。若考量央行联合干预,则中日汇率的协同波动性将提高,日韩汇率的协同波动性将明显降低。此外,中日及日韩的联合干预对汇率协同波动有显著的政策效应。