英文标题:
《The Origin of Fat Tails》
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作者:
Martin Gremm
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最新提交年份:
2014
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英文摘要:
We propose a random walk model of asset returns where the parameters depend on market stress. Stress is measured by, e.g., the value of an implied volatility index. We show that model parameters including standard deviations and correlations can be estimated robustly and that all distributions are approximately normal. Fat tails in observed distributions occur because time series sample different stress levels and therefore different normal distributions. This provides a quantitative description of the observed distribution including the fat tails. We discuss simple applications in risk management and portfolio construction.
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中文摘要:
我们提出了一个资产收益的随机游走模型,其中参数取决于市场压力。压力通过隐含波动率指数的值来衡量。我们证明了模型参数包括标准差和相关性可以可靠地估计,并且所有分布都近似正态。观察到的分布中出现厚尾是因为时间序列采样的压力水平不同,因此正态分布也不同。这为观察到的分布提供了定量描述,包括脂肪尾巴。我们讨论在风险管理和投资组合构建中的简单应用。
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分类信息:
一级分类:Quantitative Finance 数量金融学
二级分类:General Finance 一般财务
分类描述:Development of general quantitative methodologies with applications in finance
通用定量方法的发展及其在金融中的应用
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