A fractional calculus interpretation of the fractional volatility model

A fractional calculus interpretation of the fractional volatility model
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DOI:
10.1007/s11071-008-9372-0
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发表时间:
2009-03
期刊:
影响因子:
5.6
通讯作者:
R. Mendes
R. Mendes
中科院分区:
工程技术2区
文献类型:
--
作者:
R. Mendes

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基于数学简单性和与经验市场数据的一致性标准,构建了一个分数噪声驱动的波动率模型,该模型提供了一个相当准确的数据的数学参数化。在这里,模型是用随机过程的分数次积分来表示的。
Based on criteria of mathematical simplicity and consistency with empirical market data, a model with volatility driven by fractional noise has been constructed which provides a fairly accurate mathematical parametrization of the data. Here, the model is formulated in terms of a fractional integration of stochastic processes.