A Note on the Malliavin Differentiability of the Heston Volatility

A Note on the Malliavin Differentiability of the Heston Volatility
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关于赫斯顿波动率的 Malliavin 可微性的注记

DOI:
10.2139/ssrn.847645
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发表时间:
2005
期刊:
Derivatives
影响因子:
--
通讯作者:
C. Ewald
C. Ewald
中科院分区:
--
文献类型:
--
作者:
E. Alòs;C. Ewald

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我们证明了Heston波动率或等价的Cox-Ingersoll-Ross过程是Malliavin可微的,并给出了其导数的显式表达式。这一结果保证了Malliavin演算在Heston随机波动模型和Cox-Ingersoll-Ross利率模型框架下的适用性。
We show that the Heston volatility or equivalently the Cox-Ingersoll-Ross process is Malliavin differentiable and give an explicit expression for the derivative. This result assures the applicability of Malliavin calculus in the framework of the Heston stochastic volatility model and the Cox-Ingersoll-Ross model for interest rates.
DOI: 10.1007/978-1-4757-2437-0
发表时间: 1995-05
影响因子: 4
作者:
D. Nualart
通讯作者: D. Nualart