论文标题

具有非高斯波动率驱动力的分数波动率模型的大偏差

Large deviations for fractional volatility models with non-Gaussian volatility driver

论文作者

Gerhold, Stefan, Gerstenecker, Christoph, Gulisashvili, Archil

论文摘要

我们研究了随机波动率模型,其中波动率过程是连续分数随机过程的函数,这是满足Yamada-Watanabe条件的SDE溶液的积分转换。我们为log-price建立了一个小的大偏差原则,并且对于我们的设置的特殊情况,请获得对数呼叫价格渐近性的大罢工。

We study stochastic volatility models in which the volatility process is a function of a continuous fractional stochastic process, which is an integral transform of the solution of an SDE satisfying the Yamada-Watanabe condition. We establish a small-noise large deviation principle for the log-price, and, for a special case of our setup, obtain logarithmic call price asymptotics for large strikes.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源