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arXiv 0801.4220q-fin.STmath.PR
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基于多重分形随机游走模型的波动性预测

Forecasting volatility with the multifractal random walk model

Jean Duchon, Raoul Robert, Vincent Vargas

摘要:

研究了多重分形随机游走模型的波动率预测问题。为了避免估计模型的相关长度T的不适定问题,我们引入了一个定义在商空间中的极限对象,形式上,这个对象是一个无限范围的对数波动率。对于这个目标和非限制性目标,我们得到精确的预测公式,并将它们应用于在缺乏平均波动率和T的可靠估计的情况下,用MRW模型预测波动率和定价期权的问题。

英文摘要:

We study the problem of forecasting volatility for the multifractal random walk model. In order to avoid the ill posed problem of estimating the correlation length T of the model, we introduce a limiting object defined in a quotient space; formally, this object is an infinite range logvolatility. For this object and the non limiting object, we obtain precise prediction formulas and we apply them to the problem of forecasting volatility and pricing options with the MRW model in the absence of a reliable estimate of the average volatility and T.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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